Heating Field Theory the ``Environmentally Friendly'' Way!

TL;DR

This paper introduces an environmentally friendly renormalization approach for finite temperature field theory, enabling smooth interpolation between effective theories across different regimes, with explicit two-loop results for $ ext{L}^4$ theory and implications for gauge theories.

Contribution

It presents a novel renormalization method that smoothly connects different effective theories at finite temperature, including explicit two-loop calculations and applications to gauge theories.

Findings

Two-loop Padé resummed results for $ ext{L}^4$ theory at $T>T_c$

Implications for non-Abelian gauge theories

A new interpolation framework for effective field theories

Abstract

We discuss how to implement an ``environmentally friendly'' renormalization in the context of finite temperature field theory. Environmentally friendly renormalization provides a method for interpolating between the different effective field theories which characterize different asymptotic regimes. We give explicit two loop Pad\'e resummed results for $\l\ff$ theory for $T>T_c$. We examine the implications for non-Abelian gauge theories.