Chiral Polarization Scale at Finite Temperature

TL;DR

This paper investigates how the chiral polarization scale of low-lying Dirac eigenmodes changes with temperature in pure gauge theory, revealing it remains non-zero across the deconfinement transition and vanishes near 1.4 times the critical temperature.

Contribution

It provides new insights into the temperature dependence of chiral polarization in Dirac eigenmodes using the overlap operator in pure gauge theory.

Findings

The polarization scale decreases with increasing temperature.

It remains non-zero across the deconfinement phase transition.

Near-zero modes are found to be chirally polarized.

Abstract

We study the chiral polarization properties of low-lying Dirac eigenmodes at finite temperature using the overlap operator. Results for pure gauge theory on both sides of deconfinement phase transition are presented. We find that the polarization scale decreases as we increase the temperature, but it remains non-zero as we cross in the deconfined phase and vanishes only when $T\approx 1.4 T_c$. This is caused by the presence of near-zero modes which, we find, are chirally polarized.