Sphaleron transition rate in the classical 1+1 dimensional abelian Higgs model at finite temperature

TL;DR

This paper calculates the rate of sphaleron transitions in a 1+1 dimensional abelian Higgs model at finite temperature using real-time classical simulations, providing insights into topological transitions in gauge theories.

Contribution

It introduces a method to compute sphaleron transition rates in a simplified gauge theory model at finite temperature through real-time classical simulations.

Findings

Successfully computed sphaleron transition rate at finite temperature.

Demonstrated the effectiveness of real-time classical simulation methods.

Provided quantitative results for transition rates in the abelian Higgs model.

Abstract

We compute the sphaleron transition rate in the 1+1 dimensional abelian Higgs model at finite temperature, by real time simulation using the classical canonical ensemble.