Quarkyonic Matter and Chiral Spirals

TL;DR

This paper explores the properties of Quarkyonic matter, focusing on chiral symmetry breaking via chiral spirals, and classifies different phases of nuclear and quark matter using 1/Nc expansion.

Contribution

It introduces the concept of chiral spirals in Quarkyonic matter and discusses their implications for chiral symmetry and parity violation.

Findings

Chiral spirals cause local violation of chiral symmetry and parity.

Classification of nuclear, deconfined quark, and Quarkyonic matter based on 1/Nc expansion.

Extension to multiple chiral spirals is proposed.

Abstract

The nuclear matter, deconfined quark matter, and Quarkyonic matter in low temperature region are classified based on the 1/Nc expansion. The chiral symmetry in the Quarkyonic matter is investigated by taking into account condensations of chiral particle-hole pairs. It is argued that the chiral symmetry and parity are locally violated by the formation of chiral spirals, < psibar exp(2 i mu z gamma^0 gamma^z) psi >. An extension to multiple chiral spirals is also briefly discussed.