Quarkyonic Chiral Spirals

TL;DR

This paper explores the formation of chiral density waves, called chiral spirals, in Quarkyonic matter, revealing how confinement and large N limit lead to a 1+1D effective theory with novel chiral structures.

Contribution

It demonstrates that in the large N limit, Quarkyonic matter reduces to a 1+1D theory where chiral spirals form, extending understanding of dense quark phases with confinement.

Findings

Chiral spirals form in Quarkyonic matter with massless and massive quarks.

The large N limit simplifies the theory to 1+1 dimensions, revealing new chiral structures.

Infrared effects from 1+1D models influence 3+1D quark matter behavior.

Abstract

We consider the formation of chiral density waves in Quarkyonic matter, which is a phase where cold, dense quarks experience confining forces. We model confinement following Gribov and Zwanziger, taking the gluon propagator, in Coulomb gauge and momentum space, as 1/(p^2)^2. We assume that the number of colors, N, is large, and that the quark chemical potential, mu, is much larger than renormalization mass scale, Lambda_QCD. To leading order in 1/N and Lambda_QCD/mu, a gauge theory with Nf flavors of massless quarks in 3+1 dimensions naturally reduces to a gauge theory in 1+1 dimensions, with an enlarged flavor symmetry of SU(2Nf). Through an anomalous chiral rotation, in two dimensions a Fermi sea of massless quarks maps directly onto the corresponding theory in vacuum. A chiral condensate forms locally, and varies with the spatial position, z, as < psibar exp(2 i mu z gamma^0 gamma^z) psi >. Following Schon and Thies, we term this two dimensional pion condensate a (Quarkyonic) chiral spiral. Massive quarks also exhibit chiral spirals, with the magnitude of the oscillations decreasing smoothly with increasing mass. The power law correlations of the Wess-Zumino-Novikov-Witten model in 1+1 dimensions then generate strong infrared effects in 3+1 dimensions.