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

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

2009-11-10

arxiv.org/abs/0911.1831v1

PoS LAT2009:197,2009

Physics

High Energy Physics

High Energy Physics - Lattice

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

Scientific paper

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.

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