High-temperature QCD and the classical Boltzmann equation in curved spacetime

TL;DR

This paper extends the classical Boltzmann equation approach to high-temperature QCD in curved spacetime, enabling the derivation of effective stress-energy tensors, actions, and graviton functions in a curved background.

Contribution

It generalizes the Boltzmann transport equation method to curved spacetime for high-temperature QCD, providing new tools for effective action and stress-energy tensor construction.

Findings

Derived the effective stress-energy tensor in curved spacetime.

Constructed an effective action for high-temperature QCD.

Obtained the high-temperature 3-graviton function.

Abstract

It has been shown that the high-temperature limit of perturbative thermal QCD is easily obtained from the Boltzmann transport equation for `classical' coloured particles. We generalize this treatment to curved space-time. We are thus able to construct the effective stress-energy tensor. We give a construction for an effective action. As an example of the convenience of the Boltzmann method, we derive the high-temperature 3-graviton function. We discuss the static case.