Dual chiral density wave in quark matter

TL;DR

This paper explores the possibility of a dual chiral density wave in quark matter, showing it is unstable at moderate densities and affects the critical density for chiral symmetry restoration, with unique magnetic properties.

Contribution

It introduces the concept of a dual chiral density wave in quark matter and analyzes its stability and implications within the NJL model.

Findings

Quark matter is unstable for forming the dual chiral density wave at moderate densities.

The critical density for chiral symmetry restoration is higher than previously thought.

A unique magnetic property is identified in the new phase.

Abstract

Possible manifestation of a dual chiral density wave in quark matter is discussed in relation to the chiral symmetry of QCD, which is described by a dual standing wave of the scalar and pseudo-scalar densities. It is demonstrated that quark matter is unstable for forming the dual chiral density wave at moderate densities in the Nambu-Jona-Lasinio model;accordingly the critical density for restoration of chiral symmetry becomes higher than ever considered. A unique magnetic property is also pointed out in the new phase.