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 φ^{3} 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 φ^{3} 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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