Topological Aspects of the Imhomogeneous Chiral Phases and Implication on Compact Stars

TL;DR

This paper reviews recent findings on inhomogeneous chiral phases in QCD, highlighting topological effects like spectral asymmetry under magnetic fields and discussing implications for compact star physics.

Contribution

It introduces the concept of inhomogeneous chiral phases as a new paradigm in the QCD phase diagram and explores topological effects in this context.

Findings

Spectral asymmetry of quark energies under magnetic fields.

Inhomogeneous chiral phases as a novel QCD phase.

Implications for the physics of compact stars.

Abstract

Recent studies of our group are reviewed about the inhomogeneous chiral phase. Appearance of the inhomogeneous chiral phase is a new paradigm in the field of the QCD phase diagram. We consider the dual-chiral-density-wave in the presence of the magnetic field. Some topological effect manifests in the form of spectral asymmetry of the quark single-particle energy.