Magnetic aspects of QCD at finite density and temperature

TL;DR

This paper explores magnetic phenomena in QCD at finite density and temperature, including spontaneous magnetization, screening effects on gluons, non-Fermi-liquid behaviour, and density-wave states related to chiral transitions.

Contribution

It introduces a novel analysis of magnetic properties in QCD using Landau Fermi-liquid theory and discusses the implications of screening effects and density-wave states.

Findings

Screening effects improve infrared singularities for gluons

Transverse gluons lead to non-Fermi-liquid behaviour

Density-wave states relate to chiral transition and magnetization oscillations

Abstract

Some magnetic aspects of QCD are discussed at finite density and temperature. Possibility of spontaneous magnetization is studied within Landau Fermi-liquid theory, and the important roles of the screening effects for gluon propagation are elucidated. Static screening for the longitudinal gluons improves the infrared singularities, while the transverse gluons receive only dynamic screening. The latter property gives rise to a novel non-Fermi-liquid behaviour for the magnetic susceptibility. Appearance of a density-wave state is also discussed in relation to chiral transition, where pseudoscalar condensate as well as scalar one takes a spatially non-uniform form in a chirally invariant way. Accordingly magnetization of quark matter oscillates like spin density wave. A hadron-quark continuity is suggested in this aspect, remembering pion condensation in hadronic phase.