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Critical point and scale setting in SU(3) plasma: An update

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arxiv 1503.05652 v2 pith:YQGKFL32 submitted 2015-03-19 hep-lat hep-ph

Critical point and scale setting in SU(3) plasma: An update

classification hep-lat hep-ph
keywords criticalcontinuummethodscalesettingsqrtactionallows
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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).

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Cited by 3 Pith papers

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