Quark mass dependence of the vacuum electric conductivity induced by the magnetic field in SU(2) lattice gluodynamics

TL;DR

This study investigates how the vacuum electric conductivity in SU(2) lattice gauge theory depends on quark mass and magnetic field, revealing a power-law behavior with potential implications for heavy ion collision experiments.

Contribution

It demonstrates the quark mass dependence of vacuum electric conductivity under magnetic fields in SU(2) lattice gauge theory, highlighting a specific power-law relationship.

Findings

Conductivity increases as quark mass decreases.

Conductivity scales approximately as B divided by the square root of m.

Results have implications for dilepton angular distributions in heavy ion collisions.

Abstract

We study the electric conductivity of the vacuum of quenched SU(2) lattice gauge theory induced by the magnetic field B as a function of the bare quark mass m. The conductivity grows as the quark mass decreases. Simplest power-like fit indicates that the conductivity behaves as B/sqrt(m). We discuss the implications of this result for dilepton angular distributions in heavy ion collisions.