Energy and momentum relaxation of heavy fermion in dense and warm plasma

TL;DR

This paper calculates the energy and momentum relaxation properties of heavy fermions in dense, warm plasma, highlighting the differences in drag coefficients mediated by transverse and longitudinal photons and including finite temperature effects.

Contribution

It provides new calculations of drag and diffusion coefficients for heavy fermions in relativistic degenerate plasma, incorporating finite temperature corrections.

Findings

Drag coefficient via transverse photon scales as (E-μ)^2

Drag coefficient via longitudinal photon scales as (E-μ)^3

Finite temperature effects modify both drag and diffusion coefficients

Abstract

We determine the drag and the momentum diffusion coefficients of heavy fermion in dense plasma. It is seen that in degenerate matter drag coefficient at the leading order mediated by transverse photon is proportional to $(E-\mu)^2$ while for the longitudinal exchange this goes as $(E-\mu)^3$. We also calculate the longitudinal diffusion coefficient to obtain the Einstein relation in a relativistic degenerate plasma. Finally, finite temperature corrections are included both for the drag and the diffusion coefficients.