# The HTL resumed propagators in the light cone gauge

## TL;DR

This paper derives the HTL resummed gluon propagator in the light cone gauge, demonstrating divergence-free self-energy components, gauge independence of quark self-energy, and calculating damping rates of hard quarks and gluons.

## Contribution

It provides a detailed derivation of the HTL gluon propagator in the light cone gauge and analyzes its properties, including gauge independence and damping rates.

## Key findings

- Gluon self-energy components are divergence-free.
- Quark self-energy is gauge independent.
- Damping rates of hard quarks and gluons are analytically calculated.

## Abstract

The expression of the HTL resumed gluon propagator in the light cone gauge is derived. In the real time mechanism, using the Mandelstam Leibbrant prescription of $(n\cdot K)^{-1}$, we calculate the transverse and longitudinal parts of the gluon HTL self-energy and prove the transverse and longitudinal parts do not have divergence. We also calculate the quark self energy in the HTL approximation, and find it gauge independent. We analytically calculate the damping rates of the hard quark and gluon with this HTL resumed gluon propagator.