Okay? So…
Is our pressure to have a KSK in a water from Johnson King University to give a talk about
So if it's calculating inflation, I think CASC is one of the person that knows most…
perturbation theory to second order in cosmology, so yeah, so…
Thank you for coming. Thank you for the introduction. Um, yeah, bye.
Oh, up on the link there, I think.
We believe… yeah, it's… okay.
Okay, um, thank you, Ben, for the introduction. Um, so first of all, thank you for, uh, inviting me.
Um, to this seminar. I'm very happy to be here. Um, so in this talk, I'm going to talk about
So, scattering of the input ongoing inflation, and this talk is based on
Um, these papers. First, um, let me…
Um, briefly mentioned
The outline of the stock. Um, so I'm gonna…
talk about the important fluctuations during inflation. Can you turn off those things? Yeah, sure, sure.
They get the same. Okay.
And that externally.
Okay.
So, this is the outrelying.
Uh, of this talk.
So I'm going to focus on…
If I don't fraction during the inflation,
on the… to picture it like this, so the infotone fructuations are produced by the contem.
CMB, or Laska's lectures.
And the people usually use the linear probation theory.
Uh, because the congregation becomes simple, but in general, uh, we have to be careful about
The nonlinear interaction, which comes from the infotain surface coupling,
So, in that case, the calculation becomes complicated, but we have to take into account that we have
Power management becomes large. So, this is a, uh…
rough picture. So, we are going to take into account the scattering of importance during the inflation,
And that we discuss, um, how the density perivation is affected or is not affected by the infotain scaffolding. So this is the outline.
of this talk.
Okay, um, so… doesn't work.
Yes, yes. Okay, yeah, yeah, yeah.
Okay, so let me begin with the introduction.
Oh, so, um, we have already also the cosmological formations.
to last guest lectures and see the nice auto piece.
And from the observation, uh, we already know the amplitude of
power spectrum, which corresponds to 10 to the minus 5th.
intensive probation,
Um, these, uh, the last scale perivations.
And… oh, so here, let me briefly mention the scale automation. So when I say small-scale automation,
That means that that perturbations…
As the wavelength is smaller than 1MP per second,
And the 1MP policy is, um, typical distance between galaxies.
So, for example, the NEOS Galaxy,
Uh, it's apart from our galaxy, by the…
Uh, 0.7 megap per sec.
On the, um… so these are the CMB, uh, snapshots of each experiment.
On the… so we can see that as time goes by, we get a better
uh, uh, precision of the…
observation, so the as time goes by, we can investigate a smaller-scale probation.
Um, however,
Um, there are difficulties.
In observation of small scales.
So for CBN isotopies, uh, we need to…
be careful about the diffusion dumping, which comes from the photon-free streamings around the
recombination. So the perbations…
power decreases significantly on small scales, so this makes the observation of small-scale probations difficult.
Uh, also for the nonlinear, sorry, the large-scale structures, uh, we have to be careful about the nonlinear growth of density variation, because
Density probation continued to grow on some horizon scales during the mother-dominated era.
Uh, because there's no pressure. So, if we sit at a very small scales,
Uh, density probation can be larger than 1. So…
Once that happens, we can't use the probation theory, so we have to perform antibody stimulation, which is
extremely computationally expensive,
And also, we need a very good, uh…
instruments to other very small-scale formations.
So, um, due to DS difficulties that we…
It is very difficult to observe the small-scale perturbations.
So, um, this is…
the summary of the cost lengths of…
prospecting up cost of probations.
So, x-axis is scale perivation, and y-axis the prospect of a collar probations, and…
Shadow regions are excluded by.
current observations.
So, from this figure, we can see that
On large scales,
Uh, most of the private regions are excluded by the current observation. So this means that
We already know the ambition of cosmological patients over large scale,
However, we don't know much about, uh,
small-scale perturbations.
So there are only a few consorts.
Uh, which comes from the gravitational observation, and also PBF, big granular synthesis.
So, um…
Ovation!
could have this kind of prospect bump?
So, unless the probation is small, but on small scales,
Paul Spectrum could have, uh…
large armpit shoot, and this demonstration can be easily realized.
Uh, by some feature in the photon potential,
And the phenomenologically, people often cause this kind of frustration because they enhanced small-scale pollination can produce primonial black codes, which can explain
Dakmata, or liable for Kagura Corporation Black Horse.
And also the enhanced small-scalevation can produce gravitational waves, which can explain
Uh, recent…
PTA results.
So, many people consider this administration.
Okay, so here, uh, let me briefly, uh, explain.
Uh, the evolution of scales, so the time goes from left to right,
And so this is the horizon scale in Comoving gate, as a commuting scale.
So, during the inflation horizon scale,
Decreases in time, and after the inflation, prices scale increases in time.
Since this is a moving scale, scaled probation doesn't change,
So, this means that, uh, first, the perivations originate from the quantum function of a field,
Then, at some point, they exit the horizon, and that they end on the horizon.
After the impression.
And so I'm going to focus on the physics, uh, during this phase.
So that, uh, we're in the power variations are inside the box.
So I'm going to focus on the e-photon scatterings.
during this period.
Okay, so I mentioned that
enhancement of the small-scale probations can…
easily realized by some features.
in the infotain potential, and these are the features.
So, if we consider flood derivation, it's the picture,
bumped the feature, and those types of features.
severe consequence that these features, uh, we can realize the enhancement of the…
small-scale probations.
I had a region, this, like,
should I take the two edges?
of that top cartoon,
to here, like, the place where the blue…
ball is, and then on the right, is that the slope of the regular electronic potential? Uh, yes, that slow roll. This slow roll, and so that's even slower roll.
And then slow roll again. Yes, so, um, this is a slow load period.
And the decision people, um, open-coded out to a slow-low period.
During that period, the infotom…
potential data that is negligible, so in that case, the, uh, uh…
behavior of the photon fluctuations there.
different. So… so these models called the Outlaw Inflation Model.
Good, thanks.
Okay.
Um, so, um, this is the, uh, if autonom potential features that can realize the enhancement with a small-scale power patients.
Okay, so, um, before going to the one move or loop calculations of informal surface capping, let me briefly…
mention what capture probation is. So, the in cosmology, the curvature probation is the most important quantity.
Um, so let me explain that. So, this is a metric, and this is a curvature probation.
So why do people call this sculpture probation?
That's because the… it's a spatial metric,
And this can be…
expressed as this, so this is just the freedom of no matter whatsoever metric.
And three-dimensional width scale is related to curvature,
And that is related to a site.
Here. So, this is why people call
this copper propagation.
However, in cosmology, uh…
The people often use the… a bit different expression of the curvature, because side itself is gauge-dependent.
So, um, people often use this quantity Zeta on all, so zeta is the curvature in the uniform density gauge on all…
is a culture you can communicate.
Um, point is that in the superheroes and limit,
this data on all become the same.
So, in cosmology,
People often call this Zeta and all capture violations.
And that, why do people care about cognitive probations?
It's because, um, capture power machines become conserved, they were constant, once they exit the horizon. So this is a picture.
Um, so these are driving the inflation, and the first publisher part, which is inside the horizon, and they click the horizon.
at some point, then once they exos hit the horizon, they become constant.
So, this behavior is very useful when we want to characterize down visual
Cosmoscow patients.
So this is why blank correlations use the power spectrum of curvature populations.
Uh, to characterize the normalization
of the customer gap prior relations.
So, in other words, the collarbations can keep the information of the other universe.
Yeah, at the time when the PowerVision exit the horizon.
So the conservation…
Or, yeah, conservation of the curvature are a very important quote.
quantity.
Okay, so…
Now, Levy, move on to the one loop.
Corrections?
So let me begin with the Lagalangian. So this is a Lagalangian for inflatum.
And this is the impact on potential, and we separate the…
In frontal field into background.
Buy your glass, uh, perivation.
Under substituting this expression into this, we can get…
for the P-photon fluctuations.
So, this term is the most important part, so this…
corresponds to that infotom cell interactions.
So, we want to take into account this, and that usually people
Um, the greatest contribution, uh, because once we negate this contribution, um, the calculation becomes very simple, uh, because everything… equation of motion…
becomes the, uh, linear. I'll explain that, uh, in the next slide.
Um, but the… so this is the most important part.
So, in order to take into account if I don't sell reflections, trade inflation,
people use the in-informalism.
So, it is formalism, the two-point operation function will pass spectrum of equal quantum fluctuations, can be
congrated with the…
Uh, intellectual picture by quantum mechanics.
So, the point is that this
Information, uh…
If I don't separate actions are included through the inflection Hamilton.
So, um, this calculation is a bit similar to usual
uh, scaffolding.
QUFD for the scheduling in the Minkowski space.
Uh, in that case, the formalism is called the in-out formalismarism.
But the congregation is, um, similar on the…
The lowest order correction appears as a one loop.
So, this is why people often call this
one of the corrections, um, but they come from the Ifatong SIF.
intellectuals.
Okay, so this is the what-to-one loop corrections are.
on the… let me mention, um, physical picture.
of this infotain safe scattling.
So, again, this is the Lagalangian, and from this, we can get the equation of motion for the infrared fluctuations.
then we get that this, um, equation of motion. And the point is that
right-hand side.
um, comes from the if I don't save scattling,
under this makes the situation complicated, because this is a nonlinear
corrections?
So, um…
People often neglect this contribution because, um,
people don't want to, uh, take into account the interaction between different wave numbers.
Um, but, um, if the probation is large, we can't neglect this contribution.
So, um, this means that, um,
Taking into account infrastathlink,
means that taking into account the nonlinear corrections.
So, um, this is a physical picture. So, in general, defined wave of numbers,
intellect through the infotainServe couplings and the non-linear way, nonlinear interactions.
in the equation of motion,
Okay, so again, so, um, I want to see how…
that scattering the gain photon can change.
Or doesn't change the density power variations.
Okay. And the kid… sorry, like, I got lost a little bit, so, like, yeah, so, like…
If I look at the left-hand side of that equation, everything has, like, one
a perturbation. And in the right-hand side, you have
2, 3, 4, 5, 6, 7, right? So… Yep.
So, how you… like, yeah, like, okay, I…
If Delta Phi is big, then it will be…
important all those friends, but then…
your perturbation?
That is, you cannot calculate anything, so how are you gonna…
soap? Okay, I guess you can explain that earlier.
Yeah, yeah, I understand what you mean. So, yeah.
Um, that's a very good point, Anda. I'm gonna mention
Um, something about that. But, um, yes, so once the delta pi, uh, becomes too large, the probation theory breaks down.
So, uh, we have to be careful about that, but…
Um, but yeah, usually people neglect this contribution, and uh…
Yeah.
Or let me have… when I have to start to worry about that term, I guess maybe you want to tell that to Gruden. Yes, so once the one-wave correction becomes comparable to the previous spec one, we have to be careful about it.
break down the far vision theory, because the one loop becomes larger than tweetable prospects, normally it is easy.
Uh, we can easily expect that the tuloop or high-order loop correction becomes larger then.
lot of questions, so…
we will have to compare the one-day correction, the tree level.
ball spectrum.
Are there any questions so far?
Okay, um…
So, now, um, let me show you the fiducial examples.
So this is a toy model, uh, so this is an infotain potential, and we are going to consider this kind of potential, so…
in this potential, the infotom…
How's a base part?
So these are slow-go regime, but this important potential has also delay feature.
within finite…
Uh, field with.
So there's a baseball and self-slotted feature.
to the potential is like this, and…
If someone's always their slow or parameter,
Uh, at the beginning of the… also the feature, and this leads to…
the infant velocity, so N is the E-fold.
And the longer determines the oscillation timescale,
Um, so there's the… so this… so, uh, E4 is for one oscillation,
is related to, uh, one language, sorry, 1 over long-term, roughly speaking.
And the C is the unbridges of the feature.
Okay, so in this case, the probation, um…
evolves like this.
So…
Doing…
oscillation phase, the massive infraton was secondary, but…
osmic pine.
So, selection of the mass, uh, leads to the paramedic resonance, so the power variations are enhanced.
in time. So this figure shows the evolution of the power spectrum of some scales on the peak scale.
So we can see that, okay, so the N is 0 is the e-fold.
at the beginning of the oscillation, so the time goes from left to right,
then we can see that
Power variations are enhanced.
Once the infoton reaches of certain feature.
But finally, the power relations become constant,
Because our patients, um…
Because it declined point, so…
This is, uh, what happens in this model, then…
the prospectom of the infantone fractation, sorry, prospect on the curvature.
perturbation is given by this.
So, we can see that on large scales,
The power equations are very small, but on small scales,
Our patients can be enhanced significantly.
On the 10 to the minus second,
Uh, it's the typical amplitude for…
probably one of their blog post scenarios. So, um…
For example, if we want to make the PVHs dark matter, um, we need, uh,
you know, this level of the fast spectrum.
So this corresponds to the typical PBA scenarios.
So, I've… at this point, a little confused.
Because on the previous…
slide. You showed us an expansion of the potential in delta P.
When you've talked about treating Delta Phi as a perturbation, and so we would not care about higher order terms in the potential.
But here,
You have this rather detailed, complicated function of phi.
And your results depend on…
particular features of that complicated function. So…
There seems to be a cognitive dissonance between the two slides that I'm getting. Ah, okay. If I took this model and expanded it out in
Phine minus fine on.
Pine minus 5 classical.
Um, where… where would I?
Why couldn't I?
do perturbation theory and not see all of this structured potential.
Okay, um, okay, so sorry for…
Uh, on Korea slice. Um, okay, so the…
This is the… okay, so this is the just toy model, uh, to show how important of the verb questions are.
And still, I didn't show the amount of corrections. So this is just a treatable result.
Also, okay, so the point is… okay, next slide. So I want to show you…
that how important the loop corrections are.
Okay, so this is a result. So that's just a point model. We are the one where the corrections become important?
I see, okay, yeah.
So the people often consider such kind of, um… So that was a model where already at the classical level,
You understand the fact that could have given you priority holdback? Yes.
Okay, yes, yeah.
people often consider.
such models as a prime model, black hole production, but that people don't care about the wounded correction.
Yeah, so…
This is a toy model.
Yeah. So, this is the most important…
Alright, um, so…
These are to enable.
prediction, and so this is the one loop, uh, level prediction. So this figure…
shows the zooming picture of this region.
And the solid lines are the same. So solid lines are the three-level
our spectrum.
On the dot… on the dashed lines are one little path spectrum.
So, okay, let's…
Uh, beginning with the KC. KC is the smaller enhancement case, so…
In this case, the…
Three, they were almost dominates over the one-off corrections, so we don't see a large
differences between
So the dotted lines are
Treat plus one? Yeah, 3 plus 3 plus 1. Okay.
Pretty press 1.
Yeah, so we don't see a…
large difference between them. However,
case here on the case B, which corresponds to…
typical PBA scenarios, the wound up corrections become comparable.
or much larger than that.
So this means that we have to be careful about one of corrections, or
breaks down the probation theory, especially…
Uh, for the case, ER and the case B.
Because the one that fraction becomes compatible,
Um, the loss probabilation theory breaks down, we have to, uh, do non-party methods to discuss the operation of perturbations.
So, um, we…
this, that. So, I won't go into detail of that analysis, this is beyond the scope of
my talk, but let me briefly…
introduce our results. So the… we consider 3D box with lattice, and we put the…
be of the value of each lattice, so then we…
solve the operation of the field.
Uh, if I don't field.
And this is a result.
So this is a… to these slides, 2D snapshot of the 3D box.
on the defined colors correspond to different field value.
And the time goes from left to right, so again, M is the default.
Under this figure, uh, shows the evolution of the probability distribution function of the field.
Undefined colors show
the defined time, so…
Um, this shows the evaluation of the distribution function. So the…
Um, narrow distribution function, uh, means the…
smaller, uh, variants of the field. This means that smaller perivations of the…
in your photon field. So, in case C, so KC is, again, um, case C is a…
smaller case. So in this case…
Um, distribution function is always narrow, so the enhancement is not so large.
However, case A and to case B,
Um, yeah, we had a large enhancement that occurs, then…
we can see that distribution function becomes broad at some point,
And, uh, finally, uh…
So, distribution function, uh, becomes pipe model in this case, so this means that
In frontam gets stuck in one of the local minima.
So, in this case, the, um, photon field value gets stuck in…
you know, these two local minima.
Um, in case, if some of the Hubble patches in the sub… some of the Hubble patches, the infrastructure gets stuck, but, um, most of them can pass
through those other features, so…
Uh, we can see that evolution of the other
integration with the, uh, distribution function here, but still,
there's some regions where the infotain is, uh,
If I don't get stuck.
So, this is the infotain, uh, trapping under this phenomena are
can't be caught.
Oh, with a linear probation theory. So in the linear probation theory, the infant
can pass through the division, so we can't capture this feature.
But if we take into account the non-party effects,
Um, if I don't trapping.
can be found. So, this is the one of the examples of the non-profitative.
phenomenal with the info field.
None of this takes into account gravitational effects, right? Uh, that's a good question.
We don't take into account the metric formations here.
That's because during the inflation, metric power variations are suppressed by a slow parameter, epsilon.
explosively, uh, exploits of a definition of ipsmoids.
Yeah, I know what? Oh, okay, fine.
Just think it's…
So, um…
So we consider the slow load limit, I mean, slow…
Uh, some wipes on the limit, which is called a positel limit.
So, in that limit, the metric power patients are subplaced.
Uh, by this parameter, so we don't need to worry about the gravitational effects.
up to a single limit.
You know, we do used to produce this, that is easy, or…?
would you use for this, like, for smaller AC? Uh, so, it's based on the Lattice.
I think a Cosmo lattice? Okay.
I think mainly this calculation has been done that is, um,
For us also. But he made a…
he… he revised the code.
to, uh, for the…
calculation during the inflation. So the, um…
Famous public calls are for
or the evolution after the infection. So we have to change. Oh, okay.
So, the accelerated heat, um, put the…
his code to archive, so there's a…
paper. I think, um…
I forgot the name. Bray…
Yeah, there's a, uh…
that these are open, you know, public code.
Okay, so, um…
Let me make a recap, um…
So, in the case of large enhancement or small-scale variations, the higher order perturbation, um, is important, so we have to take into account that, and that this comes from the event surface countenance.
And if the one loop is larger than 3 liter pass spectrum, the probation theory is no longer reliable, so we have to…
Um, there's some non-popular mental, like legislations,
So, uh, we have…
focus on this case so far, so on the… on this scale, there are one of the questions are very important.
So, on the…
So, uh, in the second half of this talk, um, I'm gonna…
show you that the small-scale pollination doesn't affect the CMV.
or large scale, uh, perabations.
Uh, so we are going to focus on this kind of, uh, diagram, uh,
So the XR, external momentum is much smaller than the thin tunnel moment.
So I'm going to show you, um, this…
kind of things in the second half of this talk. So, this is the end of the first half of my talk, and are there any questions so far?
Yeah, actually, I have one question.
So, there are influence on couplings that we know have to be there.
Because if we're heating… so influences have to be coupled to everything else in the world.
You've neglected those completely.
Do they in any way affect these considerations?
Yeah, that's a good point. So, you are, um, talking about the…
coupling between Infront and the under here. That's a very good… Everything, yeah, we're right. Yes.
So those are going to lead to nonlinear effects in principle. Exactly, yes.
So, um, basically, I'm focusing on the infoton dynamics during the inflation.
So not… not around the end of the inflation. But those couplings are there during inflation, too.
We use them to talk about what happens after inflation, but they're there in the Lagrandra.
Yes, yes. So, you could draw diagrams during inflation, just like you did here.
Yeah, so if there's such kind of…
I mean, particle production occurs during the inflation, we'd have to think with tech on that, but it might allow us to… I don't take, in that kind of full simplicity, but yeah, that's a very good point, yes.
Okay, yeah. So, yeah, for example,
Yeah, the…
I want the end of the impression, um…
the photon coupling becomes large,
Um, I mean, it is…
very easily, actually.
So, for example, we need quantum summary potential, and then finally…
Yeah, beats.
if I don't have to oscillate.
On the minimum, on the doing this phase,
Um,
becomes very large, because the influx of potential
changes significantly in the short-time scale, and uh…
So, on this vision, um, no PowerPix are very important, and the people often use the lattice simulation,
going to, uh, this space. So this space, uh, this open called pre-heating.
So, basically, my calculations of it.
With it, it is kind of things, but our new point is that
Uh, I focus on…
the corrections during the inflation, I mean…
Right, this…
Mm-hmm, yeah.
Okay, um, so, um, let me move on to the next sections.
Okay, so, uh, first, let me explain why I want to consider
Um, the, uh, loop corrections from small scale to large scale.
Um, that's because, um, there is a recent claim that
Super hard to limit coverage approvations are not conserved at one of the level.
If we consider this kind of transition,
So, as I mentioned,
During our slow period,
The equation of motion of the fratern is a bit different.
Uh, from that 20 low. So, during this phase, we can neglect the…
Tribate?
on the situation is like this.
So this is the past spectrum of curvature.
before it does load period.
about the recent claim says that
After… after several period.
The pulse system becomes like this.
The point is that, um, this…
Well, so this is… this difference is a wonderful action under…
Recent claims says this rounded correction is scary variant, so even if we go to super horse limit,
Still, one correction exists.
So that's what the recent claim says.
So, okay, so this is the…
supervising, uh, carbations.
So, if this claim is correct…
on the one-lift questions,
become comparable to a traditional part spectrum.
In that case, the… that means the probation of hair breaks down, but we already know that
On large scale, or city scale, prohibition theory,
uh, works well. So, from that fact, we can put a const lens on that.
PVH modules, or Large Enhancement Model.
If this claim is true. So that's why many people
hobby working on…
this, um, claim.
Voluntary papers, say,
of this claims, correct? But, um…
Uh, this seems inconsistent to me, the separating this picture.
So, yeah, let me briefly explain what separating bus.
picture means. So, um…
This is an infotain fluctuation.
And this is a Horizon patch.
So, the separate universe picture says,
For local universe, or for local observer inside the Hawaii patch,
Um, simple housing perovations can be regarded as a backlog.
So this is very, um, intuitive.
I mean…
Lokawazawa cannot see the superhero horizon.
things. So the large-scale powerbench is just the background.
Um, so this means that…
the universe B, uh, can be the same as Universe A alpha.
After a while. So basically, these universities are different…
in time. So, after a while, the universe B becomes the same.
becomes the same as 80verse A.
So, this separate universe picture.
And to be consistent with this picture, the curvature, carbation, superhynic curvature, perturbation must be constant.
Um, because if the authorizing coverage is timely dependent, the local observer
can recognize its existence through the
Universal expansion.
So something's wrong in the recent claim.
So, many people say something's wrong, but uh…
Problem is that, what is wrong? So…
Um… after recent client-up period,
some papers…
criticize their results. So, in these papers, they show the conservation of the coverage at one level,
So, these papers point out the importance of the boundary terms, and this paper uses a positive integral approach for
showing the conservation curvature, and in my previous paper, I used
to show the conservation of curvature.
However, the original paper under some quality papers claimed that no conservation coverage by using the
Call me engaged with a few of the definitions.
Oh, this may be what this means. Um, but a YouTube format differences, it's been unclear.
We are this great body comes from.
So, uh, in the…
in the rest of my talk, I will clarify.
that counter terms were overbothered in the recent paper. So if we carefully take into account that,
Uh, we can see the conservation capture.
What is the observable discrepancy?
Um… observable… I mean, the discrepancy is the
whether the coverage of privilege is conserved or not. So, I mean…
Officer… observationality D.
Um…
Okay, so discrepancy is whether the curvature of probation changes or not.
or super hot and scaled. So the…
Oh, okay, so you're asking the observational signature of the bond depression, or…?
I'm just saying, so you said there's two different…
camps that said different things. What is the observational…
What distinguishes those two observations? Um…
Observationally,
It's, um…
If this claim is true, um…
random corrections can be larger than predictable path spectrum. In that case, a probation theory breaks down.
So I think a PowerBash story…
must work on super… sorry, last hold.
So I think that that's the observation of signals.
some of those correction is large, then…
I think we're, like, yeah. So, SOMCAM is saying that if you have the blue, blue line,
So you have some kind of, like, a…
production of a small case with, like, some featuring the potential. That feature in the potential with
change the… or, like, the…
The curvature at large scales.
And…
Because of one loop correction, exactly. And the other camp is saying, no, no, no, there's one loop correction,
will not matter for the large scale.
So, yeah, so that's the tool comes.
So, the blue canes end, because we'll see the CMB, the power, like, you know, the curvature power spectrum, we measured pretty much in the CMV split cast, so you can now rule out
A type of primordial black holes, because, yeah. But it isn't, like, they brand it all the way through.
like a CMD calculation. It's just sort of a…
theoretical objection, given that the data…
don't, like, doesn't mix… doesn't seem to mix scales, like, it's consistent with a power spectrum, but…
Yes, but I guess we're… so CMB is only one scale, right? So, like, you cannot say that, oh, like, I can have one here, otherwise this will have moved, so… so I can start to rule out…
these type of things.
Yeah, so if this correction is large enough, then…
probation theory breaks down, and we can do the probation theory equal.
see about ISIS, but we already know that our regional theory works.
On large scales. So, I think that that's the… You just made an observation? Observation of it, yeah. I think the point is that…
People build these models.
Which originally were built so that they fit the data on large scales, and had to then track some other feature on small scales.
that gave them primordial black holes.
And now, the people up top…
who are saying, no, if you take one loop into account,
You screw up the large-scale structure.
And we're hearing they're wrong. Yes, yeah, I'm gonna show it, that's wrong. Basically, you want to say that, like, effective operator, like, you can separate these scales out, and they don't just destroy everything, even a very, very different scale.
Okay, thanks, Sharon. Go ahead. Thank you for the questions.
So…
Yeah, um, so this claims, it's very…
controversial, um…
But these are good people. Yokoyama, Piato… That's the program. That's why many people, um, yeah, I'm gonna believe, to be honest, I will be like, oh, we are there, yeah.
I'm sorry, which side is Gerald? Um, my side. About the… okay, Sadim.
Go ahead. Is that somebody good to have in your seat? Yes, that's why most of the people think that something's wrong.
this, um, this paper, but, um, it's been…
unclear for a long time why… what was robotic, so the…
In my paper, I pointed out, uh, what that's all about it.
And, uh, that's a point.
Yeah, yeah. That's why resturation is very common in Bartshell.
Yeah, okay.
Um, okay, fuck.
Yes, okay, so this… it's beyond clear whether this repository comes from.
And I'm going to show you that counter terms for water in the recent papers.
Okay. So, um…
First, let me explain what the redefinition means. Um, so this is the redefine the curvature,
Um, which is related to the important partitions as this in the flood gauge
And, um, we define the coverage as related to original curvature,
So the relation is complicated.
But the point is that…
are not so complicated, but, you know? Actually, so this is second order. So this is a simpler version, but for the third order, I didn't show.
that here, but the…
very complicated, yeah.
So, um, my point is that during slow law, the original curvature is the same as we define the curvature.
Um, except for the, uh, terms sublisted by Epsilon, solar particle there.
So, um, but we want to know whether the superhorescent curvature air bulbs
during this transition,
So, we want to know the curvature before the non-slot builds and after.
slow appeal. So we can use this quantity, and also, if we use this… we define the curvature calculation becomes very, very simple. That's why many people use this redefine curvature.
On the upstream, um, so, for example, this, uh, we've defined coverage is introduced in this modern paper, so this is a very famous paper about the consistent simulation. So he calibrated
by spectrum of curvature.
Um, if we use a redefine the coverage, the calculation becomes very simple.
So, um, that's why many people use this quantity.
So, um, let me… Sure, please.
This redefined what slicing is it?
Um, okay, so…
This… this is the just definition on the… basically, this is related to the infoton fluctuations in the flood gauge.
spatial optic cage, so the… Ah, okay.
Yeah, um…
Okay, basically, it's just the…
Um…
Yeah, so it's just, uh…
Even shows. Um…
Just need.
Yeah, it's a week.
Yeah, so there's no mental prohibitions in that.
Okay, so that's the blockage.
Okay, so let's first see the logging in the flopped cage.
So that, uh, as I mentioned,
The expression space is simple.
Um, so again, this is Lagun, and the V here, separate the bare potential.
I mean, we brought them into three-level potential plus counterpotential.
So, we substitute this expression, spark round plus perbation.
Um, then the background abbreviation is given by this.
So this is determined by the predictable potential,
And substitute this expression into this, we finally get
the log manager for e-file contractions.
then we can easily get, um, intellectual Hamiltonian.
Because if we want to use it,
for any informers, and so we can calculate the intellectual Hamiltonian like this.
then we here change the variable.
from Delta I to Zeta n by using this definition.
Then we can get…
Um, Hamiltonian for the redefine the curvature.
Um, I… I omitted the subscript for brevity, uh, but this is the introduction Hamiltonian for
really find the purpose of redefine the curvature, and that we can calculate the two-point equation function by using the informalizing.
So this expression, and let me mention this, if we neglect quatic introduction,
on the counter term, uh…
a reduction, uh, we can reproduce the previous results. So, basically, the previous papers, uh, don't take into account his contributions. That's why they…
obtained, uh, wrong conclusion.
Okay, so, uh…
Before going to, uh, detail of the calculation, let me…
Um, mention the key logic. So, key logic is actually very simple.
So, we are going to fix the zero hydropole
host this, so that we import this condition, so then we can fix the counter term.
First video, they will account for potential as this.
Then, uh, once we fix that, Quadratic counter term, second derivative of the counter term.
automatically counts as the one moves.
So that… this is a key rose.
Okay, so finally, let me show you some details of the car creation. So, I'm gonna consider this kind of
transition, so slow low, non-slow low, and slow low, and I don't specify the important potential during the school.
Can you just… just… the reason there was a quadratic counter term is because of some divergence?
Why are you allowed to make this second cancellation?
Hello. Oh, I mean, this…
automatically counts as the disk configuration. It wants to be fixed,
Okay, so we impose this condition. Yeah. Then, automatically, the counter term cancels.
Oh, no, I see. Okay. Yeah, this is, um, yeah, it does support.
So, all we need to do is just to fix
Imports that zero total pool.
I see. So, yeah, after we fix that, we don't do anything.
automatically quadratic counter cancels. I somehow don't see that in the graph.
Sorry. Sorry about my English.
Okay, um, so this is a key logic, and uh… okay, the list of my talk. Let me show you some details.
Um, so this is the Infroton.
potential on the, uh, we don't specify the form of infertile potential here.
But we assume that perturbations are enhanced.
doing non-soil payoffs, so this could be flood division, or ossotic vision, what's the future vision?
whatever you want. But we assume that perturbations are enhanced during non-slow,
Your formalism is not tied to slow roll.
Where is it? Um…
Another life horizon can be used at any period of refreshing. You had an absolute and a denominator.
Um, actually, okay, okay. It's slower, that should go to zero, that's why. That's a good point. Um, I always assume that if something is much smaller than 1.
Yeah, so the… in that case, my former is going to count too small.
Ipsilon can be too small. I mean, there's no problem for small ipsil.
I thought you had some things in the denominator.
denominator, the epsilon appears… you mean the epsilon appears in the denominator? Yes.
Um, okay, I think that you're talking about this, um…
expression like…
So you're worried about this one? Yeah.
Um, it doesn't matter. I mean, it's not a problem, actually.
So, because one of… so when I say…
Other questions, or the…
some terms or supplied by ipsilom, that means
So these are three-level observation.
So… No, that's fine, but I just mean that the…
The standard formalism, I always thought, was tied to slow roll, that if you got outside of that, if that flow was too small, then some of the formulas you're using don't even…
Okay, so you're… What made me think, you know, you have this non-slow rural region.
Mm-hmm. I think you're worried about the…
Um, stochastic regime, or…
I mean, I don't know what it's called. Okay, yes, I think I'm… okay, so I think I…
And this is what… so…
If we fix that H,
And if we decrease the pipso, so what happens is that the perivation becomes too large. I mean… That's what I'm getting at. So once that happens, then we can't use the probation theorem.
For example, if we consider
Yeah, so this, this, such kind of illustration has often been considered as an outdoor bill, so if we consider
Privation. Privation can be large, so in that case, we can't use the automation theory. Instead, we have to use the
uh, stochastic…
there was an informalizing, so we have to use another informalizer. So I think, um,
That's the, uh, what do you avoid about? And what, uh, in my case, that's why I ask if your formalism applies beyond the slow roll approximation.
Um, okay.
If the data is larger than 1, or my phone isn't count where I'd like to,
Okay. Not amazing, but I…
receive ourselves to the receive…
similar on the wall.
That's the regime you're in. Yes. Which is, I think, is…
That's slow growth. Um, I don't think so. So the definition of the software is in any case…
If you go out and slow roll, you can definitely get, say, to order one.
Um, okay, so definition with a slow roll is the…
on the…
That was absolutely small.
So this open…
data? See, people also used station ATER.
When people say, for example, if people often call this the graduation out of slow-mo, auto-slow means that…
If it's minus the 6.
So this is not a small…
So the definition of the small, though, is that these two…
quantities are much smaller than one. So that's the definition of smaller.
Yeah, so, okay, my definition might be different from yours.
But when I say, um, something's not slow at all. That is that this…
condition breaks down.
But then…
I assume that keeps us always smaller than one, and what I assume that
So if it's much smaller than one. Yeah.
we can use the… Okay, go ahead. Oh, nice.
Yeah.
Okay.
Um, yes, so, um, it's a two-point correlational function.
And…
This is the expression that in informalize them, and the
This is a tweetable contribution.
I expressed this as this.
And digital one-vortex contribution for final diagram.
It's given by this, and that these are two vortex contributions, uh, which comes from the qubit interaction.
And, uh, this countdown contribution.
So, we calculate this, and as I mentioned,
I imposed a zero teleport condition,
So the power pole can be calculated with an informalized MASD, then we
impose that this…
Must beats you all.
So, this leads to the expression of the first derivative counterpotential.
So, once we fix the first day, but there will counter potential,
Secondly, the contact potential is automatically fixed.
So that we can get this expression.
Then we substitute this expression
into the…
any form as an expression, then we can calculate
Um, the past victim of…
counter term, and the…
We have found that
this is equal to minus 1 matrix contribution, minus T1X contribution on the superhazen limit,
So this means that…
long-love corrections, I mean, counter-term contributions,
the other fontivation.
So, the… on the superhero housing limit, curvature, probations,
are three of our spectrum, even if we take into account one of corrections. So, one of the corrections are canceled.
So this means that cultural probation is a concern.
So, again, so basically,
In previous papers, people neglect this contribution,
And this is the most important part for the conservation of collagen.
Okay, finally, let me mention the…
non-zero Powerball case, so I imposed the zero teleport condition here,
Um, however, the counter term is kind of…
arbitrary. So we can change the finite…
via the counter tab, so…
Um, we can also consider the case of non-zero teleport.
But in that case, we have to be careful about path reaction.
Basically, the powerful, uh, corresponds to
So the… if… if…
reaction happens, so we have to take into account that.
Um, so this is a curvature on the background field barrier appears in denominator.
So, if we check for take into account that,
Um, we can get a distribution, and this…
Back reaction counts as…
Long lift corrections.
Then we can get the same result. So the two-point correlation function
Uh, is the treatable?
Uh, Paul Spectrum. Even if we take into account random corrections. So one-loop corrections are canceled.
So the zero topical country is not a necessary condition, actually.
But if we import that, calculation becomes simple.
Okay, uh, let me summarize my talk.
So, I have discussed the infotone surface catalings during the inflation,
Um, people often neglect that contribution because the calculation becomes complicated. However,
When the probations are very large,
We have to take into account that. So we have seen that wonderful corrections, changes,
the power spectrum significantly.
Depending on the population amplification,
And, uh, we also see that small-scale probation doesn't affect
large-scale perturbations. If we carefully take into account
counter-contributions.
Okay, I stop you. Thank you so much.
Okay, perfect timing. That is all. Any more questions for the speaker?
I have a question, comment. So, I think what someone could say…
correctly, is that if they wanted a spectrum like this with this giant feature,
small and short distances.
Um, rather than saying you can't have that, I think a better thing to say might be, that's…
That's tuned. So getting that feature with a tuning, and that's what they were seeing at this other… this other group of people. They were seeing, essentially, what was the tuning between
The quantum contributions from that and the counter term…
to get a small, um…
affect that. Small K.
um, tuning…
It's required to pull.
Uh, so sorry. Because you're getting a big quantum contribution, they would say, from the big feature you put in.
From here to here? Okay, then?
So there's nothing wrong with tuning. Tuning's perfectly fine.
Just to make a simple analogy,
if you took the standard model and said, I want to use that as an effective theory, and I know there's some particles at 20 TeV, or pick some high number,
Now, calculate for me the corrections to the Higgs potential. This other group of people would say, oh, the corrections are massive.
You can't have a Higgs boson that's at 100 GP.
But once somebody reminded them about counterter terms, they said, oh, yeah, you can, yeah. But there's a big counter term that cancels the big… Okay, okay. So I think that's what maybe somebody who understood effective field theory could teach these other things. Oh, okay, okay.
But I think that would be… that would be a correct way to say it. If you want a feature like this, it's yet… I mean, there might be other things about…
inflation, they're just tuned anyway.
But this would be yet another type of tuning you would have to do.
to get… to get this whole blue picture.
Yeah, I agree that we need to do some fine-tuning to…
Yeah, where is this kind of enhancement, yes.
But, um, I'd like to…
say that…
The conservation recovery doesn't depend on the choice of counter, then? Yes, okay, fair enough, yes, absolutely, yeah, that seems like an immutable thing.
Just physically. Yep.
But it doesn't mean that a particular theory with some output doesn't have some particular type of tooling.
If somebody said, I want that blue thing as an output,
So you can have that, but then that cost… that's at the cost of what we usually call tuning. Mm-hmm.
Yeah, I agree, yeah. I know many people
criticized the chilling. Well, I know that we're into the 3rd century, and the third decade of the 21st century. I don't think we can criticize Tunis like these two. Yeah, yeah, I agree.
Your point. Yes.
Okay, any more questions?
Now, let's thank the speaker again.
Great, and let me know if you want to go…
who have been a good speaker.
Thank you, Christina.
Well, that's… so you have to buy into that one. And sit down and calculate all these things. Compared to other cages. So, basically, my partition is especially part of the gauge.
Conversation is much simpler than the calculation in the complete linear.
Yeah, I've been using Tencent, yeah, don't worry. Sorry I had to miss the first half of your talk, but nice, nice work. Very nice, yeah, very good.
Yeah, may I have your name? And I've got Scott. Nice to meet you. Alright, yeah, thank you. I'll watch the first half, uh…
When we post it, when I get a chance. Anyhow, thanks for nice work. Yeah, thank you so much.