Scattering Amplitudes and Soft Theorems in Multi-Flavor Galileon Theories

Abstract

In this paper, we initiate the study of multi-flavor Galileon theories using the methods of scattering amplitudes. We explore this topic from different perspectives and extend the techniques employed so far mainly in the single-flavor case. This includes soft theorems, generalized soft theorems with non-trivial right-hand side, Galileon dualities, soft bootstrap and bonus relations. We demonstrate new properties on two examples, the multi-flavor U(N) Galileon and the three-flavor U(2)/U(1) Galileon.

42 pages, 2 figures

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• Inflationary Adler Conditions
• Non-perturbative quantum Galileon in the exact renormalization group
• Extended DBI and its generalizations from graded soft theorems