QCD thermodynamics from lattice simulations an update using finer lattice spacings Péter Petreczky Physics Department and RIKEN-BNL WWND, February 2-7, 2009 Equation of State calculations for Chiral and deconfinement transition temperature in QCD Fluctuations of conserved charges and deconfinement Spatial correlation functions and the nature of the deconfined phase at high temperatures Summary
Collaboration and computational resources RBC-Bielefeld Collaboration (p4 action) : Hot QCD Collaboration (p4 and asqtad actions ) : A. Bazavov, T. Bhattacharya, M. Cheng, N. Christ, C. DeTar, S. Ejiri, S. Gottlieb, R. Gupta, U. Heller, K. Huebner, C. Jung, F. Karsch, E. Laermann, L. Levkova, T. Luu, R. Mawhinney, C. Miao, P. Petreczky, D. Renfrew, C. Schmidt, R. Soltz, W. Soeldner, R. Sugar, D. Toussaint, P. Vranas M. Cheng S. Ejiri, F. Karsch, C. Jung, C. Miao, P. Petreczky (BNL), N. Christ, R. Mawhiney (Columbia) O. Kaczmarek, E. Laermann, S. Mukherjee C. Schmidt (Bielefeld), W. Soeldner (GSI) Former members : S. Datta, J. van der Heide, K. Huebner, J. Liddle, K. Petrov, C. Pica, T. Umeda The use of improved staggered fermion actions is crucial !
Lattice results on trace anomaly
Pressure, energy density and speed of sound rapid rise in number of d.o.f at T= MeV 10-15% deviation from the ideal gas limit lattice discretization errors are small
rise in the entropy and energy density happens in the same temperature interval where the rapid change of the chiral condensate and Polyakov loop takes place Deconfinement and chiral transition
Fluctuations of conserved charges
Fluctuations in the hadron resonance gas model
Fluctuations of conserved charges at high T 1) Strangeness fluctuations are suppressed relative of the light (u,d) quark number fluctuations at low T (strange hadrons are heavier). 2) For T>300MeV there is no difference in fluctuation of strange and light quark number. 3) In the intermediate T-region strangeness fluctuations are still suppressed and the amount of suppression cannot be understood as a quark mass difference. The quark number susceptibilities are close to the SB limit for T>300MeV in agreement with resummed petrurbative predictions and in contrrast with expectations based on the strong coupling limit of N=4 SYM in AdS/CFT
Static quark anti-quark free energy in QCD preliminary Temporal Wilson line: Mócsy, P.P., PRL 99 (07)
Spatial string tension at T>0 non-perturbative calculated perturbatively
Spatial correlators at T>0
Summary Calculations of thermodynamic quantities have been extended to lattices with temporal extent. Comparison with previous results as well as with asqtad action shows no significant cutoff effects in the high-T region Study of fluctuations shows that quantum numbers are carried by weakly interacting quarks for. This picture is also supported by calculation of spatial meson correlators In the temperature region lattice calculations of the trace anomaly, fluctuations of conserved charges and spatial meson correlation function indicate the strongly interacting nature of the deconfined phase Strong color screening in the deconfined phase leads to quarkonium melting above deconfinement At high temperatures non-perturbative effects are due to soft chromo-magnetic fields