Interplay between Deconfinement and Chiral Properties

TL;DR

This paper explores the relationship between confinement, deconfinement, and chiral symmetry breaking in QCD, revealing that low-lying Dirac modes are crucial for chiral properties but not for confinement indicators.

Contribution

It provides analytical relations linking Dirac modes with confinement measures and compares different fermion kernel eigenmodes in the context of QCD phase transitions.

Findings

Low-lying Dirac modes are essential for chiral symmetry breaking.

Confinement quantities are largely unaffected by low-lying Dirac modes.

No direct one-to-one correspondence between confinement and chiral properties.

Abstract

We study interplay between confinement/deconfinement and chiral properties. We derive some analytical relations of the Dirac modes with the confinement quantities, such as the Polyakov loop, its susceptibility and the string tension. For the confinement quantities, the low-lying Dirac eigenmodes are found to give negligible contribution, while they are essential for chiral symmetry breaking. This indicates no direct, one-to-one correspondence between confinement/deconfinement and chiral properties in QCD. We also investigate the Polyakov loop in terms of the eigenmodes of the Wilson, the clover and the domain-wall fermion kernels, respectively.