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

A Denbleyker; Yuzhi Liu; Y Meurice; A Velytsky

doi:10.22323/1.091.0197

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

Conference proceeding

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

A Denbleyker, Yuzhi Liu, Y Meurice and A Velytsky

The XXVII International Symposium on Lattice Field Theory (LAT2009) - Nonzero Temperature and Density

Proceedings of Science, v. 91

06/23/2010

DOI: 10.22323/1.091.0197

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Abstract

We study the 4-th Binder cumulant on 4×Nσ3 lattices for a pure SU(2) gauge theory. We use 20 data points for a sequence of Nσ in β intervals shrinking when Nσ increases, in order to reduce the nonlinear effects. Using a log-log fit of the slope versus Nσ, we obtain the preliminary result ν = 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 Nσ −2.03(4) which seems compatible with the breaking of rotational symmetry.

Data points

Gauge theory

Ising model

Lattices

Three dimensional models

Details

Title: Subtitle: Finite Size Scaling and Universality in SU(2) at Finite Temperature
Creators: A Denbleyker
Yuzhi Liu
Y Meurice
A Velytsky
Resource Type: Conference proceeding
Publication Details: The XXVII International Symposium on Lattice Field Theory (LAT2009) - Nonzero Temperature and Density
Series: Proceedings of Science; v. 91
DOI: 10.22323/1.091.0197
eISSN: 2331-8422
Language: English
Date published: 06/23/2010
Academic Unit: Physics and Astronomy
Record Identifier: 9984428785302771

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