Critical Exponents of O(N) Scalar Model at Temperatures below the Critical Value using Auxiliary Mass Method

TL;DR

This paper studies the phase transition in the O(N) scalar model below the critical temperature, using the auxiliary mass method to determine the critical exponent beta.

Contribution

It introduces the application of the auxiliary mass method to compute critical exponents in the O(N) scalar model below the critical temperature.

Findings

Calculated the critical exponent beta for the O(N) model.

Demonstrated the effectiveness of the auxiliary mass method in phase transition analysis.

Extended previous work on the model's critical behavior.

Abstract

We investigate a phase transition of the O(N) invariant scalar model using the auxiliary mass method. We determine the critical exponent $\beta$ by calculating an effective potential below the critical temperature. This work follows that of a previous paper.