Electrical conductivity of quark matter at finite T

TL;DR

This paper presents theoretical calculations of the electrical conductivity of quark matter at finite temperature using the Kubo formula within the instanton-liquid model, finding results consistent with other theories and minimal magnetic field effects.

Contribution

It provides new estimates of quark matter electrical conductivity at various temperatures and relaxation times using a specific non-perturbative model, including magnetic field considerations.

Findings

Electrical conductivity ranges from 0.02 to 0.15 /fm for T=0-400 MeV.

Conductivity normalized by temperature increases with relaxation time.

Magnetic field effects on conductivity are negligible.

Abstract

In this talk, I present the recent theoretical results on the electrical conductivity (EC) sigma of quark matter, using the Kubo formula at finite temperature and zero quark density (T>0, mu=0) in the presence of an external strong magnetic field. The dilute instanton-liquid model with the caloron distribution is taken into account. It turns out that sigma=(0.02~0.15)/fm for T=(0~400) MeV with the relaxation time tau=(0.3~0.9) fm. EC is parameterized as sigma/T (0.46,0.77,1.08,1.39)C_EM for tau=(0.3,0.5,0.7,0.9) fm, respectively. These results are well compatible with other theoretical estimations and show almost negligible effects from the magnetic field. The soft photon emission rate from the quark-gluon plasma is discussed as well.