Critical point and scale setting in SU(3) plasma: An update
Abstract
We explore a method developed in statistical physics which has been argued to have exponentially small finite-volume effects, in order to determine the critical temperature Tc of pure SU(3) gauge theory close to the continuum limit. The method allows us to estimate the critical coupling betac of the Wilson action for temporal extents up to Nt ~ 20 with < 0.1% uncertainties. Making use of the scale setting parameters r0 and sqrt{t0} in the same range of beta-values, these results lead to the independent continuum extrapolations Tc r0 = 0.7457(45) and Tc sqrt{t0} = 0.2489(14), with the latter originating from a more convincing fit. Inserting a conversion of r0 from literature (unfortunately with much larger errors) yields Tc / LambdaMSbar = 1.24(10).
Cite
@article{arxiv.1503.05652,
title = {Critical point and scale setting in SU(3) plasma: An update},
author = {A. Francis and O. Kaczmarek and M. Laine and T. Neuhaus and H. Ohno},
journal= {arXiv preprint arXiv:1503.05652},
year = {2015}
}
Comments
12 pages. v2: clarifications and references added, published version