Non-Fermi-liquid effect in magnetic susceptibility

TL;DR

This paper investigates the temperature dependence of magnetic susceptibility in quark matter, revealing a novel non-Fermi-liquid effect characterized by a $T^2\ln T$ term due to dynamic screening effects.

Contribution

It introduces the first detailed analysis of magnetic susceptibility's anomalous temperature dependence considering transverse gluon screening effects.

Findings

No $T\ln T$ term in susceptibility, unlike specific heat.

Discovery of a $T^2\ln T$ term indicating non-Fermi-liquid behavior.

Enhanced understanding of quark matter properties at finite temperature.

Abstract

Taking into account the anomalous self-energy for quarks due to the dynamic screening effect for the transverse gluon propagator, we study the temperature dependence of the magnetic susceptibility in detail. It is shown that there does not exist the $T\ln T$ term in the susceptibility, different from the specific heat, but an anomalous $T^2\ln T$ term arises instead as a novel non-Fermi-liquid effect.