Magnetic susceptibility of quark matter within Fermi-liquid theory

TL;DR

This paper investigates the magnetic properties and potential spontaneous magnetization of quark matter using Fermi-liquid theory, highlighting how gluon screening effects influence magnetic instability in gauge theories.

Contribution

It introduces a detailed analysis of magnetic susceptibility in quark matter considering gluon screening, revealing conditions that promote magnetic instability.

Findings

Screening effects can promote magnetic instability depending on parameters.

Static screening via Debye mass does not always suppress magnetic transitions.

Magnetic susceptibility behavior depends on coupling strength and flavor number.

Abstract

Possibility of spontaneous magnetization in QCD and magnetic properties of quark matter is discussed by evaluating the magnetic susceptibility within Fermi-liquid theory. The screening effects for gluons are taken into account to figure out the specific properties of the magnetic transition in gauge theories. It is shown that the static screening effect in terms of the Debye mass does not necessarily work against the magnetic instability; it promotes the instability, depending on the coupling constant and the number of flavors.