Classical transport equation in non-commutative QED at high temperature

TL;DR

This paper demonstrates that the high-temperature behavior of non-commutative QED can be effectively described using classical Boltzmann transport equations, capturing gauge-independent thermal loops for various non-commutative parameters.

Contribution

It introduces a novel approach using classical transport equations to analyze high-temperature non-commutative QED, accurately reproducing leading thermal loop effects.

Findings

Transport equations differ for neutral and charged particles.

Equations generate gauge-independent hard thermal loops.

Method applies for arbitrary non-commutative parameter theta.

Abstract

We show that the high temperature behavior of non-commutative QED may be simply obtained from Boltzmann transport equations for classical particles. The transport equation for the charge neutral particle is shown to be characteristically different from that for the charged particle. These equations correctly generate, for arbitrary values of the non-commutative parameter theta, the leading, gauge independent hard thermal loops, arising from the fermion and the gauge sectors. We briefly discuss the generating functional of hard thermal amplitudes.