%0 Journal Article
%A Francis, A.
%A Kaczmarek, O.
%A Laine, M.
%A Neuhaus, T.
%A Ohno, H.
%T Critical point and scale setting in SU(3) plasma: An update
%J Physical review / D
%V 91
%N 9
%@ 1550-7998
%C [S.l.]
%I Soc.
%M FZJ-2015-03203
%P 096002
%D 2015
%X 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 ${T}_{\mathrm{c}}$ of pure SU(3) gauge theory close to the continuum limit. The method allows us to estimate the critical coupling ${\beta}_{c}$ of the Wilson action for temporal extents up to ${N}_{\tau}\sim20$ with $\lesssim0.1$% uncertainties. Making use of the scale setting parameters ${r}_{0}$ and $\sqrt{{t}_{0}}$ in the same range of $\beta$-values, these results lead to the independent continuum extrapolations ${T}_{\mathrm{c}}{r}_{0}=0.7457(45)$ and ${T}_{\mathrm{c}}\sqrt{{t}_{0}}=0.2489(14)$, with the latter originating from a more convincing fit. Inserting a conversion of ${r}_{0}$ from literature (unfortunately with much larger errors) yields ${T}_{\mathrm{c}}/{\mathrm{\Lambda}}_{\overline{\mathrm{MS}}}=1.24(10)$.
%F PUB:(DE-HGF)16
%9 Journal Article
%U <Go to ISI:>//WOS:000353881200013
%R 10.1103/PhysRevD.91.096002
%U https://juser.fz-juelich.de/record/200818