The Instanton-Dyon Liquid Model V: Twisted Light Quarks

TL;DR

This paper extends the instanton-dyon liquid model to include twisted light quarks with explicit $Z_{N_c}$ symmetry, analyzing its phase structure and chiral symmetry breaking in a 3D effective theory.

Contribution

It introduces a new extension of the instanton-dyon model incorporating twisted light quarks and analyzes the resulting phase structure with explicit symmetry considerations.

Findings

Low temperature phase is center symmetric with spontaneous flavor symmetry breaking.

High temperature phase breaks center symmetry with finite, unequal quark condensates.

Effective potential and chiral condensates are explicitly derived for N_f=N_c=2, 3.

Abstract

We discuss an extension of the instanton-dyon liquid model that includes twisted light quarks in the fundamental representation with explicit $Z_{N_c}$ symmetry for the case with equal number of colors $N_c$ and flavors $N_f$. We map the model on a 3-dimensional quantum effective theory, and analyze it in the mean-field approximation. The effective potential and the vacuum chiral condensates are made explicit for $N_f=N_c=2, 3$. The low temperature phase is center symmetric but breaks spontaneously flavor symmetry with $N_f-1$ massless pions. The high temperature phase breaks center symmetry but supports finite and unequal quark condensates.