Heavy quark diffusion coefficients in magnetized quark-gluon plasma

TL;DR

This paper calculates heavy quark diffusion coefficients in a hot, magnetized quark-gluon plasma using effective propagators and HTL techniques, providing analytic results across all Landau levels and exploring magnetic field effects beyond the static limit.

Contribution

It introduces a systematic method to evaluate heavy quark diffusion coefficients in a magnetized medium using generalized effective propagators and HTL resummation, applicable for arbitrary magnetic field strengths.

Findings

Analytic expressions for longitudinal and transverse diffusion coefficients.

Comparison of magnetic field effects via Debye mass and effective propagators.

Results valid beyond the static limit for charm and bottom quarks.

Abstract

We evaluate the heavy quark momentum diffusion coefficients in a hot magnetized medium for the most general scenario of any arbitrary values of the external magnetic field. We choose to work with the systematic way of incorporating the effect of the magnetic field, by using the effective gluon and quark propagators, generalized for a hot and magnetized medium. To get gauge independent analytic form factors valid through all Landau levels, we apply the Hard Thermal Loop (HTL) technique for the resummed effective gluon propagator. The derived effective HTL gluon propagator and the generalized version of Schwinger quark propagator subsequently allow us to analytically evaluate the longitudinal and transverse momentum diffusion coefficients for charm and bottom quarks beyond the static limit. Within the static limit we also explore another way of incorporating the effect of the magnetic field, i.e. through the magnetized medium modified Debye mass and compare the results to justify the need for structural changes.