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Phase Diagram of QCD with HYP Staggered Fermions Peter Petreczky

Phase Diagram of QCD with HYP Staggered Fermions Peter Petreczky Brookhaven National Laboratoty In collaboration with: Z. Fodor, A. Hasenfratz and S. Katz.

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Phase Diagram of QCD with HYP Staggered Fermions Peter Petreczky

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  1. Phase Diagram of QCD with HYP Staggered Fermions Peter Petreczky Brookhaven National Laboratoty In collaboration with: Z. Fodor, A. Hasenfratz and S. Katz What is the nature of the transition to the deco fined phase of QCD for the physical values of the quark masses and what is value of the corresponding temperature ? Problems: flavor symmetry breaking quark mass dependence of the properties of the transition

  2. Staggered HYP Action Because of SU(3) projection the widely used R-algorithm is not applicable partial stochastic Metropolis: HB and OR update with pure gauge action in small sub-volumes + global Acc/Reject step with fermion action. compared to Simulation costs increase at most as increase for the R-algorithm

  3. Simulation parameters Simulations were done on lattices for The system in the deconfined phase for and for

  4. Setting the scale The lattice spacing is set by the Sommer scale defined as 2-loop beta function from the MILC collaboration :

  5. Polyakov loops

  6. T-dependence of the chiral condensate

  7. T-dependence of the Polyakov loops at different lattice spacing

  8. Conclusion and outlook • The deconfinement transition have been studied in 2+1 flavor QCD with very small u,d-quark masses down to the physical values and two different • lattice spacings • No phase transition was found but only a quite smooth crossover around • , weak mass dependence for In comparison the Bielefeld group gets : (in the chiral limit, 2 flavor) • Future prospect: keeping the quark masses constant in physical units rather than • in lattice units; extension to finite chemical potential using the re-weighting with • exact determinant evaluation and location of the end-point in plane.

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