The Transition temperature in QCD
Cheng, M.
Christ, N. H
Datta, S.
van der Heide, J.
Jung, C.
Karsch, Frithjof
Kaczmarek, Olaf
Laermann, Edwin
Mawhinney, R. D
Miao, C.
Petreczky, P.
Petrov, K.
Schmidt, Christian
Umeda, T.
continuum limit
fermion: staggered
Lattice
condensation: chiral
12.38.Mh
finite temperature
lattice field theory
numerical calculations: Monte Carlo
11.10.Wx
potential: static
quantum chromodynamics
11.15.Ha
temperature: transition
quark: potential
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.
2006
info:eu-repo/semantics/article
doc-type:article
text
https://pub.uni-bielefeld.de/record/1968580
Cheng M, Christ NH, Datta S, et al. The Transition temperature in QCD. <em>Phys.Rev. D</em>. 2006;74(5):054507.
eng
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevD.74.054507
info:eu-repo/semantics/altIdentifier/issn/1550-7998
info:eu-repo/semantics/altIdentifier/issn/1550-2368
info:eu-repo/semantics/altIdentifier/wos/000240873900065
info:eu-repo/semantics/altIdentifier/arxiv/hep-lat/0608013
info:eu-repo/semantics/closedAccess