High temperature ln(T) contributions in thermal field theory

TL;DR

This paper computes one-loop ln(T) contributions to 3-point functions in high-temperature -theories, revealing Lorentz invariance and structural similarity to zero-temperature divergences.

Contribution

It provides a novel calculation of ln(T) terms in thermal field theory and demonstrates their Lorentz invariance and structural similarity to zero-temperature divergences.

Findings

ln(T) contributions are Lorentz invariant

They share structure with zero-temperature divergences

A general argument applies to all N-point functions

Abstract

We calculate, to one-loop order, the ln (T) contributions of 3-point functions in the \phi^3 and Yang-Mills theory at high temperature. We find that these terms are Lorentz invariant and have the same structure as the ultraviolet divergent contributions which occur at zero temperature. A simple argument, valid for all N-point Green functions, is given for this behavior.