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

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.

43 pages ( REVTeX 3.0, self-extracting shell archive, 13 PostScript figs.), report IFUP-TH 21/93 (2 TYPOS IN FORMULAS CORRECTED,1 CITATION UPDATED,CITATIONS IN TEXT ADDED)

References in corpus (2)

• On the Viability of Lattice Perturbation Theory
• Scaling and Asymptotic Scaling in the SU(2) Gauge Theory

Cited by in corpus (9)

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• Scaling in the Positive Plaquette Model and Universality in SU(2) Lattice Gauge Theory
• Multi-Grid Monte Carlo via $XY$ Embedding. II. Two-Dimensional $SU(3)$ Principal Chiral Model
• The SU(3) deconfining phase transition with Symanzik action
• The continuum limit of $f_B$ from the lattice in the static approximation
• Improved thermodynamics of SU(2) gauge theory