Title: From Scalars to Pions and Gluons: New structure closer to the real world
Abstract: Scattering amplitudes for the simplest theory of colored scalars — Tr φ3 theory — have been understood as arising from a counting problem associated with curves on a surface (arXiv:2309.15913v1). This formulation produces "stringy" integrals for the amplitudes, built off of variables defined on the surface, from which the field theory limit as α' → 0 can easily be extracted. In this talk, we will extend this approach to theories closer to the real world — in particular the non-linear sigma model and Yang-Mills theory (arXiv:2401.00041v1). We will explain how amplitudes in these theories are surprisingly obtained from those of the Tr φ3 theory by simple shifts of the kinematic data. We will also explain how these "stringy" formulations expose universal features of the amplitudes present in all these colored theories — ranging from hidden patterns of zeroes to unusual factorization properties away from singularities (arXiv:2312.16282v1).
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