TY  - JOUR
AU  - Francis, A.
AU  - Kaczmarek, O.
AU  - Laine, M.
AU  - Neuhaus, T.
AU  - Ohno, H.
TI  - Critical point and scale setting in SU(3) plasma: An update
JO  - Physical review / D
VL  - 91
IS  - 9
SN  - 1550-7998
CY  - [S.l.]
PB  - Soc.
M1  - FZJ-2015-03203
SP  - 096002
PY  - 2015
AB  - 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 ${T}_{\mathrm{c}}/{\mathrm{\Lambda}}_{\overline{\mathrm{MS}}}=1.24(10)$.
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000353881200013
DO  - DOI:10.1103/PhysRevD.91.096002
UR  - https://juser.fz-juelich.de/record/200818
ER  -