A Study of Symmetry Restoration at Finite Temperature in the O(4) Model Using Anisotropic Lattices

TL;DR

This paper investigates symmetry restoration at finite temperature in the O(4) model using anisotropic lattices, finding the ratio of symmetry restoration temperature to Higgs mass is independent of anisotropy and establishing a lower bound for this ratio.

Contribution

It provides new insights into the temperature dependence of symmetry restoration in the O(4) model, combining large N approximation and numerical simulations with anisotropic lattices.

Findings

The ratio T_SR/m_H is independent of lattice anisotropy.

A lower bound of 0.59 ± 0.04 for T_SR/m_H at m_Ha ≈ 0.5.

The ratio decreases by about 10% at m_Ha ≈ 1.

Abstract

Results of investigations of the O(4) spin model at finite temperature using anisotropic lattices are presented. In both the large $N$ approximation and the numerical simulations using the Wolff cluster algorithm we find that the ratio of the symmetry restoration temperature $T_{\rm SR}$ to the Higgs mass $m_{\rm H}$ is independent of the anisotropy. We obtain a lower bound of $0.59 \pm 0.04$ for the ratio, $T_{\rm SR}/m_{\rm H}$, at $m_{\rm H}a \simeq 0.5$, which is lowered further by about 10% at $m_{\rm H}a \simeq 1.$