Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Hybrid model for QCD deconfining phase boundary

P. K. Srivastava and C. P. Singh

  • Department of Physics, Banaras Hindu University, Varanasi 221005, INDIA

Phys. Rev. D 85, 114016 – Published 8 June, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.114016

Abstract

Intensive search for a proper and realistic equations of state (EOS) is still continued for studying the phase diagram existing between quark gluon plasma (QGP) and hadron gas (HG) phases. Lattice calculations provide such EOS for the strongly interacting matter at finite temperature (T) and vanishing baryon chemical potential (μB). These calculations are of limited use at finite μB due to the appearance of notorious sign problem. In the recent past, we had constructed a hybrid model description for the QGP as well as HG phases where we make use of a new excluded-volume model for HG and a thermodynamically-consistent quasiparticle model for the QGP phase and used them further to get QCD phase boundary and a critical point. Since then many lattice calculations have appeared showing various thermal and transport properties of QCD matter at finite T and μB=0. We test our hybrid model by reproducing the entire data for strongly interacting matter and predict our results at finite μB so that they can be tested in future. Finally we demonstrate the utility of the model in fixing the precise location, the order of the phase transition and the nature of CP existing on the QCD phase diagram. We thus emphasize the suitability of the hybrid model as formulated here in providing a realistic EOS for the strongly interacting matter.

Article Text

References (61)

  1. C. P. Singh, Phys. Rep. 236, 147 (1993); Int. J. Mod. Phys. A 7, 7185 (1992).
  2. A. Andronic et al., Nucl. Phys. A837, 65 (2010).
  3. J. Cleymans, R. V. Gavai, and E. Suhonen, Phys. Rep. 130, 217 (1986).
  4. M. A. Stephanov, Int. J. Mod. Phys. A 20, 4387 (2005); Prog. Theor. Phys. Suppl. 153, 139 (2004).
  5. M. A. Stephanov, Phys. Rev. Lett. 102, 032301 (2009).
  6. M. A. Stephanov, K. Rajagopal, and E. V. Shuryak, Phys. Rev. Lett. 81, 4816 (1998).
  7. R. V. Gavai and S. Gupta, Phys. Rev. D 71, 114014 (2005).
  8. Z. Fodor and S. D. Katz, J. High Energy Phys. 04 (2004) 050; Y. Aoki et al., Nature (London) 443, 675 (2006).
  9. P. de Forcrand and O. Philipsen, J. High Energy Phys. 01 (2007) 077; 11 (2008) 012.
  10. Owe Philipsen, arXiv:1111.5370v1.
  11. P. Huovinen and P. Petreczky, Nucl. Phys. A837, 26 (2010); J. Phys. Conf. Ser. 230, 012012 (2010).
  12. P. Huovinen, P. Petreczky, and C. Schmidt, arXiv:1202.3104v1.
  13. C. Ratti et al., Nucl. Phys. A855, 253 (2011).
  14. A. Tawfik, Phys. Rev. D 71, 054502 (2005).
  15. A. Bazavov et al. (HotQCD Collaboration), arXiv:1203.0784v1.
  16. A. Andronic, P. Braun-Munzinger, J. Stachel, and M. Winn, arXiv:1201.0693v1; D. H. Rischke, M. I. Gorenstein, H. Stocker, and W. Greiner, Z. Phys. C 51, 485 (1991).
  17. S. Plumari, W. M. Alberico, V. Greco, and C. Ratti, Phys. Rev. D 84, 094004 (2011).
  18. M. Bluhm, B. Kampfer, and G. Soff, Phys. Lett. B 620, 131 (2005); M. Bluhm, B. Kampfer, R. Schulze, D. Seipt, and U. Heinz, Phys. Rev. C 76, 034901 (2007).
  19. M. Bluhm and B. Kampfer, Phys. Rev. D 77, 034004 (2008); 77, 114016 (2008); W. Cassing, Nucl. Phys. A795, 70 (2007).
  20. P. K. Srivastava, S. K. Tiwari, and C. P. Singh, Phys. Rev. D 82, 014023 (2010).
  21. P. K. Srivastava, S. K. Tiwari, and C. P. Singh, Nucl. Phys. A862–863CF, 424 (2011).
  22. S. K. Tiwari, P. K. Srivastava, and C. P. Singh, Phys. Rev. C 85, 014908 (2012).
  23. S. Borsanyi et al., J. High Energy Phys. 11 (2010) 077.
  24. S. Borsanyi et al., J. Phys. G 38, 124060 (2011); J. High Energy Phys. 01 (2012) 138.
  25. L. P. Csernai, J. I. Kapusta, and L. D. McLerran, Phys. Rev. Lett. 97, 152303 (2006).
  26. C. Sasaki and K. Redlich, Nucl. Phys. A832, 62 (2010).
  27. R. A. Lacey et al., Phys. Rev. Lett. 98, 092301 (2007).
  28. V. M. Bannur, Phys. Lett. B 647, 271 (2007); J. Phys. G 32, 993 (2006); Eur. Phys. J. C 50, 629 (2007); Phys. Rev. C 78, 045206 (2008).
  29. M. I. Gorenstein and S. N. Yang, Phys. Rev. D 52, 5206 (1995).
  30. Min He, J.-F. Li, W.-M.Sun, and H.-S. Zong, Phys. Rev. D 79, 036001 (2009).
  31. C. Sasaki and K. Redlich, Phys. Rev. C 79, 055207 (2009).
  32. A. Hosoya and K. Kajantie, Nucl. Phys. B250, 666 (1985).
  33. P. Arnold, G. D. Moore, and L. G. Yaffe, J. High Energy Phys. 11,(2000) 001; 05 (2003) 051.
  34. C. P. Singh, P. K. Srivastava, and S. K. Tiwari, Phys. Rev. D 80, 114508 (2009); 83, 039904 (2011).
  35. S. Uddin and C. P. Singh, Z. Phys. C 63, 147 (1994).
  36. C. P. Singh, B. K. Patra, and K. K. Singh, Phys. Lett. B 387, 680 (1996).
  37. M. I. Gorenstein, M. Hauer, and O. N. Moroz, Phys. Rev. C 77, 024911 (2008).
  38. E. M. Lifschitz and L. P. Pitaevski, Physical Kinetics (Pergamon Press, Oxford, 1981), 2nd ed., Chap. 1, p. 3.
  39. J. Cleymans and D. Worku, Mod. Phys. Lett. A 26, 1197 (2011).
  40. P. Castorina, J. Cleymans, D. E. Miller, and H. Satz, Eur. Phys. J. C 66, 207 (2010).
  41. P. Braun-Munzinger and J. Stachel, Nucl. Phys. A606, 320 (1996).
  42. L. J. Reinders, H. Rubinstein, and S. Yasaki, Phys. Rep. 127, 1 (1985); S. O. Bäckman, G. E. Brown, and J. A. Niskanen, 124, 1 (1985).
  43. J. Cleymans et al., Z. Phys. C 33, 151 (1986).
  44. J.-L. Basdevant, J. Rich, and M. Spiro, Fundamentals in Nuclear Physics (Springer, New York, 2005), p. 155.
  45. M. Mishra and C. P. Singh, Phys. Rev. C 78, 024910 (2008); Phys. Lett. B 651, 119 (2007).
  46. R. V. Gavai and A. Gocksch, Phys. Rev. D 33, 614 (1986).
  47. K. Redlich and H. Satz, Phys. Rev. D 33, 3747 (1986).
  48. F. Karsch, Proc. Sci., CPOD07 (2007) 026.
  49. P. Braun-Munzinger and J. Stachel, Nucl. Phys. A606, 320 (1996).
  50. D. Prorok and L. Turko, arXiv:hep-ph/0101220.
  51. J. Noronha-Hostler, J. Noronha, and C. Greiner, Phys. Rev. Lett. 103, 172302 (2009).
  52. M. Chojnacki and W. Florkowski, Acta Phys. Pol. B 38, 3249 (2007).
  53. A. S. Khvorostukhin, V. D. Toneev, and D. N. Voskresensky, Phys. Rev. C 83, 035204 (2011).
  54. M. Bluhm, B. Kampfer, and K. Redlich, Nucl. Phys. A830, 737c (2009).
  55. S. Sakai and A. Nakamura, Proc. Sci., LAT 2077 (2007) 221.
  56. H. B. Meyer, Phys. Rev. D 76, 101701(R) (2007).
  57. P. Castorina, K. Redlich, and H. Satz, Eur. Phys. J. C 59, 67 (2008).
  58. A. S. Kapoyannis, Eur. Phys. J. C 51, 135 (2007); N. G. Antoniou and A. S. Kapoyannis, Phys. Lett. B 563, 165 (2003).
  59. K. A. Bugaev, Phys. Rev. C 76, 014903 (2007).
  60. O. Lourenco, M. Dutra, A. Delfino, and M. Malheiro, Phys. Rev. D 84, 125034 (2011).
  61. A. Gopie and M. C. Ogilvie, Phys. Rev. D 59, 034009 (1999); O. Kiriyama and A. Hosaka, 67, 085010 (2003); L. F. Palhares, E. S. Fraga, and T. Kodama, J. Phys. G 38, 085101 (2011).

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation