Finite Size Scaling and Universality in SU(2) Lattice Gauge Theory at Finite Temperature

ORAL

Abstract

We study the 4-th Binder cumulant on $N_\tau \times{N_\sigma}^3$ lattices for a pure SU(2) gauge theory. We use a finer $\beta$ resolution than previous studies in intervals shrinking with the volume in order to reduce the nonlinear effects. We compare different error analysis procedure for the Binder cumulant. We discuss the significance of the small discrepancies between our estimates of the critical exponents and the known values for the 3D Ising model.

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Authors

  • Yuzhi Liu

    Department of Physics and Astronomy, University of Iowa

  • Alan DenBleyker

    Department of Physics and Astronomy, University of Iowa

  • Yannick Meurice

    University of Iowa, Department of Physics and Astronomy, University of Iowa

  • Alexander Velytsky

    Physics Department, Brookhaven National Laboratory