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Chinese Physics C> 2017, Vol. 41> Issue(10) : 103101 DOI: 10.1088/1674-1137/41/10/103101

QCD equation of state for heavy ion collisions

  • 1.

      Department of Foundation, Southeast University Chengxian College, Nanjing 210088, China

  • 2.

     Department of Physics and Electronic Engineering, Nanjing Xiaozhuang University, Nanjing 211171, China

  • 3.

     Department of Physics, Nanjing University, Nanjing 210093, China

  • 4.

     College of Mathematics and Physics, Nantong University, Nantong 226019, China

  • 5.

     Department of Physics, Nanjing University, Nanjing 210093, China

  • 6.

     Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing 210093, China

  • 7.

     State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, CAS, Beijing 100190, China

  • In this work, we calculate the equation of state (EoS) of quark gluon-plasma (QGP) using the Cornwall-Jackiw-Tomboulis (CJT) effective action. We get the quark propagator by using the rank-1 separable model within the framework of the Dyson-Schwinger equations (DSEs). The results from CJT effective action are compared with lattice QCD data. We find that, when μ is small, our results generally fit the lattice QCD data when T>Tc, but show deviations at and below Tc. It can be concluded that the EoS of CJT is reliable when T>Tc. Then, by adopting the hydrodynamic code UVH2+1, we compare the CJT results of the multiplicity and elliptic flow v2 with the PHENIX data and the results from the original EoS in UVH2+1. While the CJT results of multiplicities generally match the original UVH2+1 results and fit the experimental data, the CJT results of v2 are slightly larger than the original UVH2+1 results for centralities smaller than 40% and smaller than the original UVH2+1 results for higher centralities.
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  • References

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    [2] J. M. Cornwall, R. Jackiw, and E. Tomboulis, Phys. Rev. D, 10:2428(1974)
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    [13] P. Romatschke and U. Romatschke, Phys. Rev. Lett., 99:172301(2007)
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    [16] G. F. Burgio, H. Chen, H.-J. Schulze, and G. Taranto, PoS Confinement X, 255(2013)
    [17] J. Cleymans, H. Oeschler, K. Redlich, and S. Wheaton, Phys. Rev. C, 73:034905(2006)
    [18] S. Borsanyi et al, JHEP, 1009:073(2010)
    [19] Z. Fodor, S. D. Katz, and K. K. Szabo, Phys. Lett. B, 568:73-77(2003)
    [20] J. Letessier and J. Rafelski, Phys. Rev. C, 67:031902(2003)
    [21] C. R. Allton, S. Ejiri, S. J. Hands, O. Kaczmarek, F. Karsch, E. Laermann, and C. Schmidt, Phys. Rev. D, 68:014507(2003)
    [22] The PHENIX Collaboration, Phys. Rev. C, 69:034909(2004)
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    [24] M. Laine and Y. Schroder, Phys. Rev. D, 73:085009(2006)

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A-Meng Zhao, Yuan-Mei Shi, Jian-Feng Li and Hong-Shi Zong. QCD equation of state for heavy ion collisions[J]. Chinese Physics C, 2017, 41(10): 103101. doi: 10.1088/1674-1137/41/10/103101
A-Meng Zhao, Yuan-Mei Shi, Jian-Feng Li and Hong-Shi Zong. QCD equation of state for heavy ion collisions[J]. Chinese Physics C, 2017, 41(10): 103101.  doi: 10.1088/1674-1137/41/10/103101 shu
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Received: 2017-01-19
Revised: 2017-06-16
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    Supported by National Natural Science Foundation of China (11447121, 11475085, 11535005, 11690030), Fundamental Research Funds for the Central Universities (020414380074), Jiangsu Planned Projects for Postdoctoral Research Funds (1501035B) and Natural Science Foundation of Jiangsu Province (BK20130078, BK20130387)

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QCD equation of state for heavy ion collisions

    Corresponding author: A-Meng Zhao,
    Corresponding author: Hong-Shi Zong,
  • 1.  Department of Foundation, Southeast University Chengxian College, Nanjing 210088, China
  • 2. Department of Physics and Electronic Engineering, Nanjing Xiaozhuang University, Nanjing 211171, China
  • 3. Department of Physics, Nanjing University, Nanjing 210093, China
  • 4. College of Mathematics and Physics, Nantong University, Nantong 226019, China
  • 5. Department of Physics, Nanjing University, Nanjing 210093, China
  • 6. Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing 210093, China
  • 7. State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, CAS, Beijing 100190, China
  • Received Date: 2017-01-19
  • Accepted Date: 2017-06-16
  • Available Online: 2017-10-05
Fund Project:  Supported by National Natural Science Foundation of China (11447121, 11475085, 11535005, 11690030), Fundamental Research Funds for the Central Universities (020414380074), Jiangsu Planned Projects for Postdoctoral Research Funds (1501035B) and Natural Science Foundation of Jiangsu Province (BK20130078, BK20130387)

Abstract: In this work, we calculate the equation of state (EoS) of quark gluon-plasma (QGP) using the Cornwall-Jackiw-Tomboulis (CJT) effective action. We get the quark propagator by using the rank-1 separable model within the framework of the Dyson-Schwinger equations (DSEs). The results from CJT effective action are compared with lattice QCD data. We find that, when μ is small, our results generally fit the lattice QCD data when T>Tc, but show deviations at and below Tc. It can be concluded that the EoS of CJT is reliable when T>Tc. Then, by adopting the hydrodynamic code UVH2+1, we compare the CJT results of the multiplicity and elliptic flow v2 with the PHENIX data and the results from the original EoS in UVH2+1. While the CJT results of multiplicities generally match the original UVH2+1 results and fit the experimental data, the CJT results of v2 are slightly larger than the original UVH2+1 results for centralities smaller than 40% and smaller than the original UVH2+1 results for higher centralities.

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