Slavnov-Taylor Identities in Spontaneously Broken Non-Abelian Effective Gauge Theories

TL;DR

This paper investigates the Slavnov-Taylor identities in spontaneously broken non-Abelian gauge theories, providing a method to derive the beta-functions even with complex field redefinitions.

Contribution

It introduces a procedure to solve ST identities and extract beta-functions in effective gauge theories with spontaneous symmetry breaking and non-polynomial field redefinitions.

Findings

Derived a systematic method for solving ST identities in broken gauge theories.

Clarified how to compute beta-functions with generalized field redefinitions.

Enhanced understanding of gauge symmetry constraints in effective theories.

Abstract

We study the solution to the Slavnov-Taylor (ST) identities in spontaneously broken effective gauge theories for a non-Abelian gauge group. The procedure to extract the $\beta$-functions of the theory in the presence of (generalized) non-polynomial field redefinitions is elucidated.