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The QCD Phase Diagram from the Lattice

Higher Order Fluctuations and Correlations of Conserved Charges from Lattice QCD Status Report: POSR 44090

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High Performance Computing in Science and Engineering ' 18

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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.

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Acknowledgements

This project was funded by the DFG grant SFB/TR55. This work was supported by the Hungarian National Research, Development and Innovation Office, NKFIH grants KKP126769 and K113034. An award of computer time was provided by the INCITE program. This research used resources of the Argonne Leadership Computing Facility, which is a DOE Office of Science User Facility supported under Contract DE-AC02-06CH11357. The authors gratefully acknowledge the Gauss Centre for Supercomputing e.V. (www.gauss-centre.eu) for funding this project by providing computing time on the GCS Supercomputer JUQUEEN [41] at Jülich Supercomputing Centre (JSC) as well as on HAZELHEN at HLRS Stuttgart, Germany. This material is based upon work supported by the National Science Foundation under grants no. PHY-1654219 and OAC-1531814 and by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics, within the framework of the Beam Energy Scan Theory (BEST) Topical Collaboration. C.R. also acknowledges the support from the Center of Advanced Computing and Data Systems at the University of Houston. Financial Support by the German Ministry of Research and Education (Grant 05P18PXFCA) is gratefully acknowledged.

Author information

Authors and Affiliations

  1. Department of Physics, Wuppertal University, Gaussstr. 20, 42119, Wuppertal, Germany

    Szabolcs Borsanyi, Zoltan Fodor, Attila Pasztor & K. K. Szabó

  2. Institute for Theoretical Physics, Eötvös University, Pázmány P. sétány 1/A, Budapest, 1117, Hungary

    Zoltan Fodor & Sandor D. Katz

  3. Jülich Supercomputing Centre, Forschungszentrum Jülich, 52425, Jülich, Germany

    Zoltan Fodor & K. K. Szabó

  4. Department of Physics, University of Regensburg, 93053, Regensburg, Germany

    Jana Günther & Sandor D. Katz

  5. MTA-ELTE Lendület Lattice Gauge Theory Research Group, Pázmány P. sétány 1/A, Budapest, 1117, Hungary

    Jana Günther & Sandor D. Katz

  6. Department of Physics, University of Houston, Houston, TX, 77204, USA

    Israel P. Vazquez & Claudia Ratti

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  1. Szabolcs Borsanyi
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  8. K. K. Szabó
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Correspondence to Szabolcs Borsanyi .

Editor information

Editors and Affiliations

  1. Zentrum für Informationsdienste und Hochleistungsrechnen (ZIH), Technische Universität Dresden, Dresden, Germany

    Wolfgang E. Nagel

  2. Abteilung für Angewandte Mathematik, Universität Freiburg, Freiburg, Germany

    Dietmar H. Kröner

  3. Höchstleistungsrechenzentrum Stuttgart (HLRS), Universität Stuttgart, Stuttgart, Germany

    Michael M. Resch

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Borsanyi, S. et al. (2019). The QCD Phase Diagram from the Lattice. In: Nagel, W., Kröner, D., Resch, M. (eds) High Performance Computing in Science and Engineering ' 18. Springer, Cham. https://doi.org/10.1007/978-3-030-13325-2_5

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