Dressed Polyakov loops and center symmetry from Dirac spectra

TL;DR

This paper introduces a new observable in finite temperature QCD that links confinement and chiral symmetry through boundary condition phases, analyzing its spectral behavior and connection to key symmetries.

Contribution

It presents a novel observable based on boundary phases that connects confinement, chiral symmetry, and center symmetry in finite temperature QCD.

Findings

Spectral behavior of the observable differs below and above the critical temperature.

The observable relates to the chiral condensate and center symmetry.

Analytical and numerical aspects of the observable are discussed.

Abstract

We construct a novel observable for finite temperature QCD that relates confinement and chiral symmetry. It uses phases as boundary conditions for the fermions. We discuss numerical and analytical aspects of this observable, like its spectral behavior below and above the critical temperature, as well as the connection to chiral condensate and center symmetry.