Renormalization Group Approach to Field Theory at Finite Temperature

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.

29 pages, can include figures in the body of the text using epsf.sty

References in corpus (6)

• Critical Exponents from the Effective Average Action
• High Temperature Phase Transitions without Infrared Divergences
• Renormalization Group and Universality
• Quantum and Thermal Fluctuations in Field Theory
• Temperature Dependence of the QCD Coupling
• The Thermal Beta-Function in Yang-Mills Theory

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