Hard thermal loops in long wave-length and static external gravitational fields

TL;DR

This paper investigates the structure of graviton functions at high temperature in the long wave-length and static limits, deriving simplified expressions using gauge and Weyl invariance.

Contribution

It provides a novel, simplified formulation of hard thermal amplitudes for gravitons in specific limits, leveraging symmetry principles.

Findings

Derived simple expressions for graviton functions in specified limits

Utilized gauge and Weyl invariance to simplify calculations

Enhanced understanding of thermal graviton behavior at high temperatures

Abstract

We study, in the long wave-length and static limits, the structure of the n-point graviton functions at high temperature. Using the gauge and Weyl invariance of the theory, we derive a simple expression for the hard thermal amplitudes in these two limits.