Interplay between chiral symmetry breaking and the QCD Kondo effect

TL;DR

This paper explores how the QCD Kondo effect influences chiral symmetry breaking, revealing a coexistence phase and shifts in critical chemical potential through an effective mean-field approach.

Contribution

It introduces a study of the interplay between chiral and Kondo condensates in QCD, highlighting the impact on phase transitions and coexistence regions.

Findings

Kondo condensates lower the critical chemical potential for chiral symmetry breaking.

A coexistence phase of both condensates can occur near the critical point.

Finite temperature and quark mass effects on the interplay are discussed.

Abstract

We investigate the interplay between the (light-light quark) chiral condensate and heavy-light quark condensate induced by the QCD Kondo effect, which is described by an effective Lagrangian with four-point interactions and the mean-field approximation. We find that the appearance of Kondo condensates decreases the critical chemical potential of the chiral condensate. In the region near the critical chemical potential, a coexistence phase with two kinds of condensates can appear. The behavior of such an interplay at finite temperature and with nonzero current light-quark mass is also discussed.