Improved thermodynamics of SU(2) gauge theory

TL;DR

This paper investigates the thermodynamics of SU(2) gauge theory using an improved action to reduce discretisation errors, determining thermodynamic observables and comparing results with previous studies to highlight the benefits of the improved approach.

Contribution

The study introduces the use of a Symanzik improved action for SU(2) gauge theory thermodynamics, providing more accurate continuum results compared to standard Wilson action.

Findings

Reduced discretisation effects with the improved action

Accurate determination of thermodynamic observables

Confirmation of the improved action's effectiveness in continuum limit

Abstract

In this work we present the results of our investigation about the thermodynamics of SU(2) gauge theory. We employ a Symanzik improved action to reduce strongly the discretisations effects, and we use the scaling relations to take into account the finite volume effects close to the critical temperature. We determine the beta-function for this particular theory and we use it in the determination of different thermodynamic observables. Finally we compare our results with previous works where only the standard Wilson action was considered. We confirm the relevance of using the improved action to access easily the correct continuum thermodynamics of the theory.