Quantum expression for the electrical conductivity of massless quark matter and of the hadron resonance gas in the presence of a magnetic field

Abstract

We have gone through a numerical study of classical and quantum expressions of electrical conductivity in presence of magnetic field for massless quark matter and hadron resonance gas. We have attempted to sketch mainly the transition from classical to quantum estimations, along with two other transitions -isotropic to anisotropic conductions and non-interacting to interacting picture of quantum chromodynamics, which is mapped by massless case to hadron resonance gas calculations. When we increase the magnetic field, interestingly, we have found that the classical to quantum transition takes place first and then isotropic to anisotropic transition. Former transition might be signaled by the enhancement of electrical conductivity, while latter transition can be understood by standard differences between parallel and perpendicular conductions with respect to the applied magnetic field.

One-loop Kubo estimations of the shear and bulk viscous coefficients for hot and magnetized Bosonic and Fermionic systems

“…[18][19][20][21] and electrical conductivity in Refs. [22][23][24][25][26][27][28][29][30][31][32][33][34] for the hot and/or dense QCD matter in presence of magnetic field. If we analyze the frameworks of those microscopic calculations, they are mostly in the kinetic theory based approaches.…”

Anisotropic transport properties of Hadron Resonance Gas in magnetic field

“…This effect is separately addressed in Ref. [49], but the complete understanding is still missing and we need further theoretical research in this direction. The physics of the anisotropic dissipation of the relativistic fluid in a magnetic field is also applicable for non-relativistic fluid, such as different condensed matter and biological systems.…”

Quantum field theoretical structure of electrical conductivity of cold and dense fermionic matter in the presence of a magnetic field

“…Similar kind of microscopic calculations [25][26][27][28][29][30][31][32][33][34][35][36][37][38] high temperature and low density QCD matter, which can be produced in heavy ion collision (HIC) experiments like relativistic heavy ion collision (RHIC) and large hadron collider (LHC). By increasing the temperature, one can expect hadron to quark phase transition at nearly zero (net) quark/baryon density.…”