The scalar sunset diagram at finite temperature with imaginary square masses

TL;DR

This paper calculates the finite temperature scalar sunset diagram with imaginary masses in Yang-Mills theory, incorporating background gauge fields, to advance understanding beyond one-loop order in the Gribov-Zwanziger framework.

Contribution

It provides a novel evaluation of the scalar sunset diagram at finite temperature with imaginary masses, including background gauge fields, in the context of Yang-Mills theory.

Findings

Explicit expression for the sunset diagram at finite temperature

Inclusion of background gauge fields and imaginary chemical potentials

Insights into non-perturbative effects in Yang-Mills theory

Abstract

We evaluate the finite temperature scalar sunset diagram with imaginary square masses, that appears in the Gribov-Zwanziger approach to Yang-Mills (YM) theory beyond one-loop order. Since YM theory at finite temperature is governed by center-symmetry and the Polyakov loop, we also include the possibility of a constant temporal background gauge field in the form of color-dependent imaginary chemical potentials.