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Broadening of the chiral critical region in a hydrodynamically expanding medium

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Abstract.

We investigate higher cumulants of the sigma field as the chiral order parameter at the QCD phase transition. We derive a thermodynamic expression for the skewness and kurtosis from susceptibilities and use these to determine \( S\sigma\) and \( \kappa\sigma^2\) for the sigma field in equilibrium. In a next step, we study the behavior of these cumulants in both an equilibrated static medium and an expanding medium resembling the hydrodynamic stage of a heavy-ion collision. For the latter one, we find a significant broadening of the critical region.

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References

  1. Y. Aoki, G. Endrodi, Z. Fodor, S.D. Katz, K.K. Szabo, Nature 443, 675 (2006)

    Article  ADS  Google Scholar 

  2. S. Borsanyi et al., JHEP 09, 073 (2010)

    Article  ADS  Google Scholar 

  3. Szabocls Borsanyi, Zoltan Fodor, Christian Hoelbling, Sandor D. Katz, Stefan Krieg, Kalman K. Szabo, Phys. Lett. B 730, 99 (2014)

    Article  ADS  Google Scholar 

  4. A. Bazavov et al., Phys. Rev. D 90, 094503 (2014)

    Article  ADS  Google Scholar 

  5. Z. Fodor, S.D. Katz, Phys. Lett. B 534, 87 (2002)

    Article  ADS  Google Scholar 

  6. Philippe de Forcrand, Owe Philipsen, Nucl. Phys. B 642, 290 (2002)

    Article  ADS  Google Scholar 

  7. G. Endrodi, Z. Fodor, S.D. Katz, K.K. Szabo, JHEP 04, 001 (2011)

    Article  ADS  Google Scholar 

  8. Christian S. Fischer, Jan Luecker, Christian A. Welzbacher, Phys. Rev. D 90, 034022 (2014)

    Article  ADS  Google Scholar 

  9. Gernot Eichmann, Christian S. Fischer, Christian A. Welzbacher, Baryon effects on the location of QCD’s critical end point, arXiv:1509.02082 [hep-ph] (2015)

  10. M.M. Aggarwal et al., Phys. Rev. Lett. 105, 022302 (2010)

    Article  ADS  Google Scholar 

  11. L. Adamczyk et al., Phys. Rev. Lett. 112, 032302 (2014)

    Article  ADS  Google Scholar 

  12. Masayuki Asakawa, Ulrich W. Heinz, Berndt Muller, Phys. Rev. Lett. 85, 2072 (2000)

    Article  ADS  Google Scholar 

  13. M.A. Stephanov, K. Rajagopal, E.V. Shuryak, Phys. Rev. Lett. 81, 4816 (1998)

    Article  ADS  Google Scholar 

  14. M.A. Stephanov, K. Rajagopal, E.V. Shuryak, Phys. Rev. D 60, 114028 (1999)

    Article  ADS  Google Scholar 

  15. M. Cheng et al., Phys. Rev. D 79, 074505 (2009)

    Article  ADS  Google Scholar 

  16. Masayuki Asakawa, Shinji Ejiri, Masakiyo Kitazawa, Phys. Rev. Lett. 103, 262301 (2009)

    Article  ADS  Google Scholar 

  17. Sourendu Gupta, Xiaofeng Luo, Bedangadas Mohanty, Hans Georg Ritter, Nu Xu, Science 332, 1525 (2011)

    Article  Google Scholar 

  18. B. Friman, F. Karsch, K. Redlich, V. Skokov, Eur. Phys. J. C 71, 1694 (2011)

    Article  ADS  Google Scholar 

  19. M.A. Stephanov, Phys. Rev. Lett. 102, 032301 (2009)

    Article  ADS  Google Scholar 

  20. Christiana Athanasiou, Krishna Rajagopal, Misha Stephanov, Phys. Rev. D 82, 074008 (2010)

    Article  Google Scholar 

  21. B.I. Halperin, P.C. Hohenberg, Phys. Rev. 177, 952 (1969)

    Article  ADS  Google Scholar 

  22. B. Berdnikov, K. Rajagopal, Phys. Rev. D 61, 105017 (2000)

    Article  ADS  Google Scholar 

  23. Swagato Mukherjee, Raju Venugopalan, Yi Yin, Phys. Rev. C 92, 034912 (2015)

    Article  ADS  Google Scholar 

  24. M. Nahrgang, S. Leupold, C. Herold, M. Bleicher, Phys. Rev. C 84, 024912 (2011)

    Article  ADS  Google Scholar 

  25. Christoph Herold, Marlene Nahrgang, Igor Mishustin, Marcus Bleicher, Nucl. Phys. A 925, 14 (2014)

    Article  ADS  Google Scholar 

  26. M. Nahrgang, S. Leupold, M. Bleicher, Phys. Lett. B 711, 109 (2012)

    Article  ADS  Google Scholar 

  27. C. Herold, M. Nahrgang, I.N. Mishustin, M. Bleicher, Phys. Rev. C 87, 014907 (2013)

    Article  ADS  Google Scholar 

  28. Christoph Herold, Marlene Nahrgang, Yupeng Yan, Chinorat Kobdaj, J. Phys. G 41, 115106 (2014)

    Article  ADS  Google Scholar 

  29. I.N. Mishustin, Phys. Rev. Lett. 82, 4779 (1999)

    Article  ADS  Google Scholar 

  30. C. Sasaki, B. Friman, K. Redlich, Phys. Rev. Lett. 99, 232301 (2007)

    Article  ADS  Google Scholar 

  31. Jorgen Randrup, Phys. Rev. C 79, 054911 (2009)

    Article  Google Scholar 

  32. J. Randrup, Phys. Rev. C 82, 034902 (2010)

    Article  ADS  Google Scholar 

  33. J. Steinheimer, J. Randrup, Phys. Rev. Lett. 109, 212301 (2012)

    Article  ADS  Google Scholar 

  34. Christoph Herold, Marlene Nahrgang, Yupeng Yan, Chinorat Kobdaj, Phys. Rev. C 93, 021902 (2016)

    Article  ADS  Google Scholar 

  35. M.A. Stephanov, Phys. Rev. Lett. 107, 052301 (2011)

    Article  ADS  Google Scholar 

  36. B. Friman, C. Hohne, J. Knoll, S. Leupold, J. Randrup (Editors), The CBM Physics Book: Compressed Baryonic Matter in Laboratory Experiments, Lect. Notes Phys., Vol. 814 (Springer, 2011)

  37. theor.jinr.ru/twiki-cgi/view/NICA/NICAWhitePaper

  38. C. Sasaki, B. Friman, K. Redlich, Phys. Rev. D 75, 074013 (2007)

    Article  ADS  Google Scholar 

  39. C. Sasaki, I.N. Mishustin, Phys. Rev. C 85, 025202 (2012)

    Article  ADS  Google Scholar 

  40. N.C. Cassol-Seewald, R.L.S. Farias, E.S. Fraga, G. Krein, R.O. Ramos, Physica A 391, 4088 (2012.)

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. School of Physics, Suranaree University of Technology, 111 University Avenue, 30000, Nakhon Ratchasima, Thailand

    Christoph Herold, Ayut Limphirat, Chinorat Kobdaj & Yupeng Yan

  2. Frankfurt Institute for Advanced Studies (FIAS), Ruth-Moufang-Str. 1, 60438, Frankfurt am Main, Germany

    Marcus Bleicher & Jan Steinheimer

  3. SUBATECH, UMR 6457, IMT Atlantique, Université de Nantes, IN2P3/CNRS, 4 rue Alfred Kastler, 44307, Nantes cedex 3, France

    Marlene Nahrgang

  4. GSI Helmholtzzentrum für Schwerionenforschung GmbH, Planckstr. 1, 64291, Darmstadt, Germany

    Marcus Bleicher

  5. John von Neumann-Institut für Computing, Forschungzentrum Jülich, 52425, Jülich, Germany

    Marcus Bleicher

  6. Institute for Theoretical Physics, Goethe-University, 60438, Frankfurt, Germany

    Marcus Bleicher

Authors
  1. Christoph Herold
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  2. Marcus Bleicher
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  3. Marlene Nahrgang
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  4. Jan Steinheimer
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  5. Ayut Limphirat
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  6. Chinorat Kobdaj
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  7. Yupeng Yan
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Corresponding author

Correspondence to Marcus Bleicher.

Additional information

Communicated by T. Biro

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Herold, C., Bleicher, M., Nahrgang, M. et al. Broadening of the chiral critical region in a hydrodynamically expanding medium. Eur. Phys. J. A 54, 19 (2018). https://doi.org/10.1140/epja/i2018-12438-1

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  • DOI: https://doi.org/10.1140/epja/i2018-12438-1

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