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Finite Temperature Su(2) Gauge Theory: Critical Coupling And Universality Class

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  • ALEXANDER VELYTSKY

    (Enrico Fermi Institute, University of Chicago, 5640 S. Ellis Ave., Chicago, Illinois 60637, USA;
    HEP Division and Physics Division, Argonne National Laboratory, 9700 Cass Ave., Argonne, Illinois 60439, USA)

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

Suggested Citation

  • Alexander Velytsky, 2008. "Finite Temperature Su(2) Gauge Theory: Critical Coupling And Universality Class," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 19(07), pages 1079-1093.
    • Handle: RePEc:wsi:ijmpcx:v:19:y:2008:i:07:n:s0129183108012741
    DOI: 10.1142/S0129183108012741
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