The Georgi "Avatar" of Broken Chiral Symmetry in Quantum Chromodynamics

TL;DR

This paper explores the realization of chiral symmetry modes in zero-temperature QCD, showing conditions under which certain symmetries are broken or restored, and discusses implications for the vector mode conjectured by Georgi.

Contribution

It demonstrates the conditions for the realization of Georgi's vector mode and the realization of chiral symmetry modes in zero-temperature QCD, clarifying the role of the beta function.

Findings

SU_{L+R}(N_F) exhibits Georgi's vector mode in QCD.

Wigner-Weyl mode is excluded unless an infrared stable zero exists in the beta function.

Q_5^a is screened at infinity in certain symmetry realizations.

Abstract

We establish that in Quantum Chromodynamics (QCD) at zero temperature, SU_{L+R}(N_F) exhibits the vector mode conjectured by Georgi and SU_{L-R}(N_F) is realized in either the Nambu-Goldstone mode or else Q_5^a is also screened from view at infinity. The Wigner-Weyl mode is ruled out unless the beta function in QCD develops an infrared stable zero.