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arXiv · 2307.04729

Bootstrapping the Chiral Anomaly at Large $N_c$

Teng Ma·Alex Pomarol·Francesco Sciotti
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Abstract

The bootstrap approach (demanding consistency conditions to scattering amplitudes) has shown to be quite powerful to tightly constrain gauge theories at large $N_c$. We extend previous analysis to scattering amplitudes involving pions and external gauge bosons. These amplitudes allow us to access the chiral anomaly and connect low-energy physical quantities to UV properties of the theory. In particular, we are able to obtain an analytic bound on the chiral anomaly coefficient as a function of the pion dipole polarizabilities. This bound can be useful for holographic models whose dual UV completions are not known, and provide a consistency condition to lattice simulations.

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Teng Ma, Alex Pomarol, Francesco Sciotti. 2023-07-10. Bootstrapping the Chiral Anomaly at Large $N_c$. https://arxiv.org/abs/2307.04729

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