Spin Polarized versus Chiral Condensate in Quark Matter at Finite Temperature and Density

TL;DR

This paper investigates the competition between spin polarized and chiral condensates in quark matter at finite temperature and density, revealing conditions under which each phase dominates and how chiral symmetry is restored or broken.

Contribution

It demonstrates that spin polarized condensates can form in high-density quark matter and influence chiral symmetry, providing new insights within the NJL model framework.

Findings

Spin polarized condensate appears at high density and low temperature.

Chiral symmetry is broken again by spin polarization at certain densities.

Chiral symmetry restoration occurs with the disappearance of the chiral condensate.

Abstract

It is shown that the spin polarized condensate appears in quark matter at high baryon density and low temperature due to the tensor-type four-point interaction in the Nambu-Jona-Lasinio-type model as a low energy effective theory of quantum chromodynamics. It is indicated within this low energy effective model that the chiral symmetry is broken again by the spin polarized condensate as increasing the quark number density, while the chiral symmetry restoration occurs in which the chiral condensate disappears at a certain density.