Inhomogeneous condensates in the parity doublet model

TL;DR

This paper explores the emergence of inhomogeneous condensates, specifically chiral density waves, in the parity doublet model coupled with the linear sigma model, revealing phase transitions at high baryon chemical potential.

Contribution

It introduces the analysis of inhomogeneous phases within the parity doublet model, extending understanding of nuclear matter properties at high density.

Findings

Chiral density waves are favored at high baryon chemical potential.

Homogeneous nuclear matter remains stable at lower densities.

Inhomogeneous phases can coexist with homogeneous phases depending on chemical potential.

Abstract

Within the parity doublet model coupled to the linear sigma model including vector mesons it is possible to describe vacuum properties of the low energy mesons and to achieve nuclear saturation at nonzero density. Motivated by recent studies we investigate the emergence of inhomogeneous condensation in the parity doublet model. As a first step the chiral density wave (CDW) is con- sidered, which allows for a straightforward investigation of inhomogeneous condensation. As a result it is still possible to have a homogeneous ground state of nuclear matter, but at larger baryon chemical potential the CDW is favored with respect to the homogeneous phase.