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

A. Denbleyker; Yuzhi Liu; Y. Meurice; A. Velytsky

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

High Energy Physics - Lattice 2010-11-05 v1

Authors: A. Denbleyker , Yuzhi Liu , Y. Meurice , A. Velytsky

Abstract

We study the 4-th Binder cumulant on $4\times{N_\sigma}^3$ lattices for a pure SU(2) gauge theory. We use 20 data points for a sequence of ${N_\sigma}$ in $\beta$ intervals shrinking when ${N_\sigma}$ increases, in order to reduce the nonlinear effects. Using a log-log fit of the slope versus ${N_\sigma}$ , we obtain the preliminary result $\nu=0.637(11)$ in reasonably good agreement with the value for the 3D Ising model universality class. The corrections due to irrelevant directions appear to be dominated by a term proportional to ${N_\sigma}^{-2.03(4)}$ which seems compatible with the breaking of rotational symmetry.

Keywords

SU(2) gauge theory finite temperature Binder cumulant finite size scaling universality class 3D Ising model

Cite

@article{arxiv.0911.1831,
  title  = {Finite Size Scaling and Universality in SU(2) at Finite Temperature},
  author = {A. Denbleyker and Yuzhi Liu and Y. Meurice and A. Velytsky},
  journal= {arXiv preprint arXiv:0911.1831},
  year   = {2010}
}

Comments

7 pages, 5 figures, Poster presented at the "XXVII International Symposium on Lattice Field Theory", July 26-31 2009, Peking University, Beijing, China

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

Abstract

Keywords

Cite

Comments

Related papers