TY - JOUR
AB - 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.
AU - Cheng, M.
AU - Christ, N. H
AU - Datta, S.
AU - van der Heide, J.
AU - Jung, C.
AU - Karsch, Frithjof
AU - Kaczmarek, Olaf
AU - Laermann, Edwin
AU - Mawhinney, R. D
AU - Miao, C.
AU - Petreczky, P.
AU - Petrov, K.
AU - Schmidt, Christian
AU - Umeda, T.
ID - 1968580
IS - 5
JF - Phys.Rev. D
KW - continuum limit
KW - fermion: staggered
KW - Lattice
KW - condensation: chiral
KW - 12.38.Mh
KW - finite temperature
KW - lattice field theory
KW - numerical calculations: Monte Carlo
KW - 11.10.Wx
KW - potential: static
KW - quantum chromodynamics
KW - 11.15.Ha
KW - temperature: transition
KW - quark: potential
SN - 1550-7998
TI - The Transition temperature in QCD
VL - 74
ER -