Scaling, asymptotic scaling and Symanzik improvement. Deconfinement temperature in SU(2) pure gauge theory

TL;DR

This paper presents high-statistics simulations of SU(2) pure gauge theory at finite temperature using Symanzik improved action, analyzing deconfinement transition and scaling behaviors, revealing effects of improvement on asymptotic scaling.

Contribution

It provides the first detailed analysis of deconfinement temperature and scaling violations using Symanzik action in SU(2) gauge theory, highlighting the impact of improved couplings.

Findings

Asymptotic scaling violation pattern matches that of conventional actions.

Effective couplings show earlier scaling, indicating improvement effects.

Critical coupling for deconfinement determined on large lattices.

Abstract

We report on a high statistics simulation of SU(2) pure gauge field theory at finite temperature, using Symanzik action. We determine the critical coupling for the deconfinement phase transition on lattices up to 8 x 24, using Finite Size Scaling techniques. We find that the pattern of asymptotic scaling violation is essentially the same as the one observed with conventional, not improved action. On the other hand, the use of effective couplings defined in terms of plaquette expectation values shows a precocious scaling, with respect to an analogous analysis of data obtained by the use of Wilson action, which we interpret as an effect of improvement.