Master formula approach to broken chiral U(3)xU(3) symmetry

TL;DR

This paper extends the master formula approach to chiral symmetry breaking in U(3)xU(3), incorporating the U_A(1) anomaly and flavor symmetry breaking, deriving new identities related to gluon susceptibility and meson decays.

Contribution

It generalizes the master formula approach to include effects of the U_A(1) anomaly and flavor symmetry breaking in chiral symmetry analysis.

Findings

Derived new identities for gluon topological susceptibility.

Established exact relations for meson decay processes.

Extended the theoretical framework to more realistic symmetry breaking scenarios.

Abstract

The master formula approach to chiral symmetry breaking proposed by Yamagishi and Zahed is extended to the U_R(3)xU_L(3) group, in which effects of the U_A(1) anomaly and the flavor symmetry breaking m_u \not= m_d \not= m_s are properly contained. New identities for the gluon topological susceptibility and pi^0, eta, eta' -> gamma^(*) gamma^(*) decays are derived, which exactly embody the consequence from broken chiral symmetry in QCD without relying on any unphysical limit.