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The QCD Phase Diagram from the Lattice

In: High Performance Computing in Science and Engineering ' 18

Author

Listed:
  • Szabolcs Borsanyi

    (Wuppertal University, Department of Physics)

  • Zoltan Fodor

    (Wuppertal University, Department of Physics
    Eötvös University, Institute for Theoretical Physics
    Forschungszentrum Jülich, Jülich Supercomputing Centre)

  • Jana Günther

    (University of Regensburg, Department of Physics
    MTA-ELTE Lendület Lattice Gauge Theory Research Group)

  • Sandor D. Katz

    (Eötvös University, Institute for Theoretical Physics
    University of Regensburg, Department of Physics
    MTA-ELTE Lendület Lattice Gauge Theory Research Group)

  • Attila Pasztor

    (Wuppertal University, Department of Physics)

  • Israel P. Vazquez

    (University of Houston, Department of Physics)

  • Claudia Ratti

    (University of Houston, Department of Physics)

  • K. K. Szabó

    (Wuppertal University, Department of Physics
    Forschungszentrum Jülich, Jülich Supercomputing Centre)

Abstract

We calculate several diagonal and non-diagonal fluctuations of conserved charges in a system of $$2+1+1$$ quark flavors with physical masses, on a lattice with size $$48^3\times 12$$ . Higher order fluctuations at $$\mu _B=0$$ are obtained as derivatives of the lower order ones, simulated at imaginary chemical potential. From these correlations and fluctuations we construct ratios of net-baryon number cumulants as functions of temperature and chemical potential, which satisfy the experimental conditions of strangeness neutrality and proton/baryon ratio. Our results qualitatively explain the behavior of the measured cumulant ratios by the STAR collaboration. We explain the obtained simulation results with a simple model, and find consistent behaviour with a scenario with no nearby critical end point in the QCD phase diagram.

Suggested Citation

  • Szabolcs Borsanyi & Zoltan Fodor & Jana Günther & Sandor D. Katz & Attila Pasztor & Israel P. Vazquez & Claudia Ratti & K. K. Szabó, 2019. "The QCD Phase Diagram from the Lattice," Springer Books, in: Wolfgang E. Nagel & Dietmar H. Kröner & Michael M. Resch (ed.), High Performance Computing in Science and Engineering ' 18, pages 75-88, Springer.
  • Handle: RePEc:spr:sprchp:978-3-030-13325-2_5
    DOI: 10.1007/978-3-030-13325-2_5
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