Renormalization Group Approach to Field Theory at Finite Temperature

TL;DR

This paper applies an improved renormalization group method to scalar field theory at finite temperature, enabling effective resummation of higher loop graphs and exploring phenomena like dimensional reduction and symmetry restoration.

Contribution

It introduces a novel renormalization group approach that systematically resums higher loop contributions in finite temperature scalar field theory.

Findings

Derived coupled equations for mass and coupling constant.

Analyzed low and high temperature limits.

Explored dimensional reduction and symmetry restoration.

Abstract

Scalar field theory at finite temperature is investigated via an improved renormalization group prescription which provides an effective resummation over all possible non-overlapping higher loop graphs. Explicit analyses for the lambda phi^4 theory are performed in d=4 Euclidean space for both low and high temperature limits. We generate a set of coupled equations for the mass parameter and the coupling constant from the renormalization group flow equation. Dimensional reduction and symmetry restoration are also explored with our improved approach.