Non perturbative series for the calculation of one loop integrals at finite temperature

TL;DR

This paper introduces a new method for rapidly converging analytical series to evaluate one loop integrals at finite temperature, addressing slow or divergent series issues in thermal quantum field theory.

Contribution

The paper presents a novel series acceleration technique specifically designed for finite temperature one loop integrals, improving convergence and applicability.

Findings

The new series method accelerates convergence of thermal integrals.

Application to a physical example demonstrates practical effectiveness.

Discussion of relevance to other physical problems.

Abstract

The calculation of one loop integrals at finite temperature requires the evaluation of certain series, which converge very slowly or can even be divergent. Here we review a new method, recently devised by the author, for obtaining accelerated analytical expressions for these series. The fundamental properties of the new series are studied and an application to a physical example is considered. The relevance of the method to other physical problems is also discussed.