Collective excitations of a hot QCD medium in a time dependent background magnetic field

TL;DR

This paper investigates collective excitations in a hot QCD medium influenced by both static and dynamic magnetic fields, revealing complex modes affected by conductivity and their role in heavy quark energy loss.

Contribution

It introduces a comprehensive analysis of collective modes in a hot QCD medium under time-dependent magnetic fields, linking polarization tensor calculations to energy loss mechanisms.

Findings

Five complex modes depend on wave vector and conductivity.

Background magnetic fields significantly influence mode behavior.

Energy loss of heavy quarks is affected by electromagnetic field interactions.

Abstract

Collective modes within a hot Quantum Chromodynamics (QCD) medium are obtained from the polarization tensor, considering both constant and time-varying electromagnetic fields. In both scenarios, five complex modes emerge, reliant on the wave vector ($k$), with electrical conductivity exerting significant influence. The impact of the modes on the energy loss of heavy quarks in the hot QCD medium with a background electromagnetic field has been studied by obtaining the induced electric field in terms of the polarization tensor while invoking Wong's equations. The findings are seen to be consistent with analogous approaches, reinforcing the significance of the results.