10.1103/PhysRevD.74.054507
Cheng, M.
M.
Cheng
Christ, N. H
N. H
Christ
Datta, S.
S.
Datta
van der Heide, J.
J.
van der Heide
Jung, C.
C.
Jung
Karsch, Frithjof
Frithjof
Karsch
Kaczmarek, Olaf
Olaf
Kaczmarek
Laermann, Edwin
Edwin
Laermann
Mawhinney, R. D
R. D
Mawhinney
Miao, C.
C.
Miao
Petreczky, P.
P.
Petreczky
Petrov, K.
K.
Petrov
Schmidt, Christian
Christian
Schmidt
Umeda, T.
T.
Umeda
The Transition temperature in QCD
2006
2011-01-19T16:18:26Z
2018-07-24T12:57:57Z
journal_article
https://pub.uni-bielefeld.de/record/1968580
https://pub.uni-bielefeld.de/record/1968580.json
1550-7998
hep-lat/0608013
We present a detailed calculation of the transition temperature in QCD with two light and one heavier (strange) quark mass on lattices with temporal extent N_t =4 and 6. Calculations with improved staggered fermions have been performed for various light to strange quark mass ratios in the range, 0.05 <= m_l/m_s <= 0.5, and with a strange quark mass fixed close to its physical value. From a combined extrapolation to the chiral (m_l -> 0) and continuum (aT = 1/N_t -> 0) limits we find for the transition temperature at the physical point T_c r_0 = 0.457(7) where the scale is set by the Sommer-scale parameter r_0 defined as the distance in the static quark potential at which the slope takes on the value, (dV_qq(r)/dr)_r=r_0 = 1.65/r_0^2. Using the currently best known value for r_0 this translates to a transition temperature T_c = 192(7)(4)MeV. The transition temperature in the chiral limit is about 3% smaller. We discuss current ambiguities in the determination of T_c in physical units and also comment on the universal scaling behavior of thermodynamic quantities in the chiral limit.