The Transition temperature in QCD

Cheng M, Christ NH, Datta S, van der Heide J, Jung C, Karsch F, Kaczmarek O, Laermann E, Mawhinney RD, Miao C, Petreczky P, et al. (2006)
Phys.Rev. D 74(5): 054507.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Abstract / Bemerkung
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.
Stichworte
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
Erscheinungsjahr
2006
Zeitschriftentitel
Phys.Rev. D
Band
74
Ausgabe
5
Seite(n)
054507
ISSN
1550-7998
eISSN
1550-2368
Page URI
https://pub.uni-bielefeld.de/record/1968580

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Cheng M, Christ NH, Datta S, et al. The Transition temperature in QCD. Phys.Rev. D. 2006;74(5):054507.
Cheng, M., Christ, N. H., Datta, S., van der Heide, J., Jung, C., Karsch, F., Kaczmarek, O., et al. (2006). The Transition temperature in QCD. Phys.Rev. D, 74(5), 054507. doi:10.1103/PhysRevD.74.054507
Cheng, M., Christ, N. H., Datta, S., van der Heide, J., Jung, C., Karsch, F., Kaczmarek, O., Laermann, E., Mawhinney, R. D., Miao, C., et al. (2006). The Transition temperature in QCD. Phys.Rev. D 74, 054507.
Cheng, M., et al., 2006. The Transition temperature in QCD. Phys.Rev. D, 74(5), p 054507.
M. Cheng, et al., “The Transition temperature in QCD”, Phys.Rev. D, vol. 74, 2006, pp. 054507.
Cheng, M., Christ, N.H., Datta, S., van der Heide, J., Jung, C., Karsch, F., Kaczmarek, O., Laermann, E., Mawhinney, R.D., Miao, C., Petreczky, P., Petrov, K., Schmidt, C., Umeda, T.: The Transition temperature in QCD. Phys.Rev. D. 74, 054507 (2006).
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, and Umeda, T. “The Transition temperature in QCD”. Phys.Rev. D 74.5 (2006): 054507.

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arXiv: hep-lat/0608013

Inspire: 724374

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