The density of state method for first-order phase transitions in Yang-Mills theories

TL;DR

This paper introduces a novel lattice method, the logarithmic linear relaxation algorithm, to accurately determine the density of states in first-order phase transitions of Yang-Mills theories, reducing numerical errors.

Contribution

It presents the first application of the density of state method with exponential error suppression to study first-order phase transitions in Yang-Mills theories.

Findings

Successful determination of the density of states in a lattice Yang-Mills model.

Reduction of numerical errors in analyzing phase transitions.

Potential for improved studies of strongly-coupled gauge theories.

Abstract

Lattice Field Theory can be used to study finite temperature first-order phase transitions in new, strongly-coupled gauge theories of phenomenological interest. Metastable dynamics arising in proximity of the phase transition can lead to large, uncontrolled numerical errors when analysed with standard methods. In this contribution, we discuss a prototype lattice calculation in which the first-order deconfinement transition in the strong Yang-Mills sector of the standard model is analysed using a novel lattice method, the logarithmic linear relaxation algorithm. This method provides a determination of the density of states of the system with exponential error suppression.