Flow Equations and the Chiral Phase Transition

TL;DR

This paper applies flow equations to analyze the O(N)-symmetric effective potential at finite temperature, focusing on the chiral phase transition, and computes critical exponents for different N values.

Contribution

It introduces a method to solve flow equations for the effective potential at finite temperature and calculates critical exponents at the phase transition.

Findings

Critical exponents vary with N.

Flow equations effectively describe the phase transition.

Finite temperature effects are incorporated into the model.

Abstract

Flow equations for an O(N)-symmetric effective potential are discussed and solved for the finite temperature case. The model is investigated at the critical point and critical exponents for various N are calculated.