Flow of the Coarse Grained Free Energy for Crossover Phenomena

TL;DR

This paper investigates the critical behavior of two coupled scalar fields in three dimensions, analyzing fixed points and crossover phenomena using the effective average action, and describes how the coarse-grained free energy approaches scaling.

Contribution

It introduces a detailed analysis of fixed points and crossover behavior in coupled scalar fields using the effective average action formalism.

Findings

Identification of fixed points for coupled scalar fields

Detailed description of crossover between fixed points

Flow of free energy describes approach to scaling

Abstract

The critical behaviour of a system of two coupled scalar fields in three dimensions is studied within the formalism of the effective average action. The fixed points of the system are identified and the crossover between them is described in detail. Besides the universal critical behaviour, the flow of the coarse grained free energy also describes the approach to scaling.