FINITE TEMPERATURE SU(2) GAUGE THEORY: CRITICAL COUPLING AND UNIVERSALITY CLASS

Alexander Velytsky ()
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Alexander Velytsky: Enrico Fermi Institute, University of Chicago, 5640 S. Ellis Ave., Chicago, Illinois 60637, USA;

International Journal of Modern Physics C (IJMPC), 2008, vol. 19, issue 07, 1079-1093

Abstract: We examine SU(2) gauge theory in 3 + 1 dimensions at finite temperature in the vicinity of critical point. For various lattice sizes in time direction (Nτ= 1, 2, 4, 8) we extract high precision values of the inverse critical coupling and critical values of the 4th order cumulant of Polyakov loops (Binder cumulant). We check the universality class of the theory by comparing the cumulant values to that of the 3D Ising model and find very good agreement. The Polyakov loop correlators for the indicated lattices are also measured and the string tension values extracted. The high precision values of critical coupling and string tension allow us to study the scaling of dimensionless$T_c/\sqrt{\sigma}$ratio. The violation of scaling by

Keywords: Lattice gauge theory; finite temperature phase transition; universality; 11.25.Ha; 12.38.Gc (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1142/S0129183108012741

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