An exploratory study of Yang-Mills three-point functions at non-zero temperature

TL;DR

This paper investigates the behavior of three-point functions in Landau gauge Yang-Mills theory at finite temperature, revealing temperature-dependent enhancements and sign changes, and discusses truncation effects through a three-dimensional example.

Contribution

It provides new insights into the temperature dependence of three-point functions and discusses truncation effects with a self-contained solution in three-dimensional Yang-Mills theory.

Findings

Three-gluon vertex is enhanced below the phase transition

Vertex becomes negative at very low momenta across all temperatures

Truncation effects are analyzed in three-dimensional Yang-Mills theory

Abstract

Results for three-point functions of Landau gauge Yang-Mills theory at non-vanishing temperature are presented and compared to lattice results. It is found that the three-gluon vertex is enhanced for temperatures below the phase transition. At very low momenta it becomes negative for all temperatures. Furthermore, truncation effects in functional equations are discussed at the example of three-dimensional Yang-Mills theory for which a self-contained solution is presented.