Chiral symmetry restoration at finite temperature in the planar limit

TL;DR

This study numerically examines chiral symmetry restoration at finite temperature in the planar limit, revealing a discontinuous gap opening at the transition in stable phases and a continuous gap closure in supercooled phases.

Contribution

It provides the first detailed numerical analysis of chiral symmetry restoration in the planar limit, including supercooled deconfined phases.

Findings

Chiral symmetry restores at T_χ = T_d in stable phases.

In supercooled phases, the gap closes continuously.

The Dirac operator spectrum exhibits a discontinuous gap opening in stable phases.

Abstract

We investigate numerically chiral symmetry restoration at finite temperature in the planar limit in the deconfined phase, both when it is stable and when the system is supercooled. We find chiral symmetry restoration at $T_\chi = T_d$, where $T_d$ is the temperature of the deconfinement transition in pure gauge theory and $T_\chi < T_d$ in the supercooled deconfined phase. In the stable case the spectrum of the Dirac operator opens a gap in a discontinuous manner and in the supercooled phase the gap seems to vanish continuously.