Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Chiral and deconfinement aspects of the QCD transition

A. Bazavov1, T. Bhattacharya2, M. Cheng3, C. DeTar4, H.-T. Ding1, Steven Gottlieb5, R. Gupta2, P. Hegde1, U. M. Heller6 et al. (HotQCD Collaboration)

U. M. Heller6, F. Karsch1,7, E. Laermann7, L. Levkova4, S. Mukherjee1, P. Petreczky1, C. Schmidt7,8, R. A. Soltz3, W. Soeldner9, R. Sugar10, D. Toussaint11, W. Unger12, and P. Vranas3 (HotQCD Collaboration)

  • 1Physics Department, Brookhaven National Laboratory, Upton, New York 11973, USA
  • 2Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
  • 3Physics Division, Lawrence Livermore National Laboratory, Livermore, California 94550, USA
  • 4Department of Physics and Astronomy, University of Utah, Salt Lake City, Utah 84112, USA
  • 5Physics Department, Indiana University, Bloomington, Indiana 47405, USA
  • 6American Physical Society, One Research Road, Ridge, New York 11961, USA
  • 7Fakultät für Physik, Universität Bielefeld, D-33615 Bielefeld, Germany
  • 8Frankfurt Institute for Advanced Studies, J. W. Goethe Universität Frankfurt, D -60438 Frankfurt am Main, Germany
  • 9Institut für Theoretische Physik, Universität Regensburg, D-93040 Regensburg, Germany
  • 10Physics Department, University of California, Santa Barbara, California 93106, USA
  • 11Physics Department, University of Arizona, Tucson, Arizona 85721, USA
  • 12Institut für Theoretische Physik, ETH Zürich, CH-8093 Zürich, Switzerland

Phys. Rev. D 85, 054503 – Published 5 March, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.054503

Abstract

We present results on the chiral and deconfinement properties of the QCD transition at finite temperature. Calculations are performed with 2+1 flavors of quarks using the p4, asqtad, and HISQ/tree actions. Lattices with temporal extent Nτ=6, 8, and 12 are used to understand and control discretization errors and to reliably extrapolate estimates obtained at finite lattice spacings to the continuum limit. The chiral transition temperature is defined in terms of the phase transition in a theory with two massless flavors and analyzed using O(N) scaling fits to the chiral condensate and susceptibility. We find consistent estimates from the HISQ/tree and asqtad actions and our main result is Tc=154±9MeV.

Article Text

References (82)

  1. R. Hagedorn, Nuovo Cimento Suppl. 3, 147 (1965).
  2. N. Cabibbo and G. Parisi, Phys. Lett. 59B, 67 (1975).
  3. E. V. Shuryak, Sov. Phys. JETP 47, 212 (1978).
  4. L. D. McLerran and B. Svetitsky, Phys. Rev. D 24, 450 (1981).
  5. J. Kuti, J. Polonyi, and K. Szlachanyi, Phys. Lett. 98B, 199 (1981).
  6. J. Engels, F. Karsch, H. Satz, and I. Montvay, Phys. Lett. 101B, 89 (1981).
  7. J. B. Kogut et al., Phys. Rev. Lett. 48, 1140 (1982).
  8. J. B. Kogut et al., Phys. Rev. Lett. 50, 393 (1983).
  9. R. D. Pisarski and F. Wilczek, Phys. Rev. D 29, 338 (1984).
  10. C. Bernard et al. (MILC Collaboration), Phys. Rev. D 71, 034504 (2005).
  11. M. Cheng et al., Phys. Rev. D 74, 054507 (2006).
  12. Y. Aoki, G. Endrodi, Z. Fodor, S. Katz, and K. Szabo, Nature (London) 443, 675 (2006).
  13. P. Braun-Munzinger, K. Redlich, and J. Stachel, Quark Gluon Plasma 3, edited by R. C. Hwa and Xin-Nian Wang (World Scientific Publishing, Singapore, 2004), p. 491.
  14. S. Ejiri et al. (WHOT-QCD Collaboration), Phys. Rev. D 82, 014508 (2010).
  15. V. Bornyakov et al., Phys. Rev. D 82, 014504 (2010).
  16. M. Cheng et al., Phys. Rev. D 81, 054510 (2010).
  17. Y. Aoki, Z. Fodor, S. Katz, and K. Szabo, J. High Energy Phys. 01 (2006) 089.
  18. C. Bernard et al., Phys. Rev. D 75, 094505 (2007).
  19. M. Cheng et al., Phys. Rev. D 77, 014511 (2008).
  20. A. Bazavov et al., Phys. Rev. D 80, 014504 (2009).
  21. M. Cheng et al., Phys. Rev. D 81, 054504 (2010).
  22. Y. Aoki, Z. Fodor, S. Katz, and K. Szabo, Phys. Lett. B 643, 46 (2006).
  23. Y. Aoki et al., J. High Energy Phys. 06 (2009) 088.
  24. S. Borsanyi et al. (Wuppertal-Budapest Collaboration), J. High Energy Phys. 09 (2010) 073.
  25. E. Follana et al. (HPQCD Collaboration, UKQCD Collaboration), Phys. Rev. D 75, 054502 (2007).
  26. C. E. Detar and R. Gupta (HotQCD Collaboration), Proc. Sci., LAT2007 (2007) 179 [arXiv:0710.1655].
  27. R. Gupta (HotQCD Collaboration), arXiv:0912.1374.
  28. A. Bazavov and P. Petreczky (HotQCD Collaboration), Proc. Sci., LAT2009 (2009) 163 [arXiv:0912.5421].
  29. A. Bazavov and P. Petreczky (HotQCD Collaboration), J. Phys. Conf. Ser. 230, 012 014 (2010).
  30. A. Bazavov and P. Petreczky (HotQCD Collaboration), arXiv:1009.4914.
  31. W. Soldner (HotQCD Collaboration), Proc. Sci., LATTICE2010 (2010) 215 [arXiv:1012.4484].
  32. A. Bazavov and P. Petreczky (HotQCD Collaboration), Proc. Sci., LATTICE2010 (2010) 169 [arXiv:1012.1257].
  33. A. Bazavov and P. Petreczky (HotQCD Collaboration), J. Phys. G 38, 124 099 (2011).
  34. A. Bazavov and P. Petreczky, arXiv:1110.2160.
  35. F. Karsch, K. Redlich, and A. Tawfik, Eur. Phys. J. C 29, 549 (2003).
  36. P. Huovinen and P. Petreczky, Nucl. Phys. A837, 26 (2010).
  37. P. Huovinen and P. Petreczky, J. Phys. Conf. Ser. 230, 012 012 (2010).
  38. P. Huovinen and P. Petreczky, J. Phys. G 38, 124 103 (2011).
  39. T. Blum et al., Phys. Rev. D 55, R1133 (1997).
  40. K. Orginos, D. Toussaint, and R. Sugar (MILC Collaboration), Phys. Rev. D 60, 054503 (1999).
  41. A. Bazavov et al., Rev. Mod. Phys. 82, 1349 (2010).
  42. A. Hasenfratz and F. Knechtli, Phys. Rev. D 64, 034504 (2001).
  43. A. Hasenfratz, Nucl. Phys. B, Proc. Suppl. 119, 131 (2003).
  44. A. Hasenfratz, R. Hoffmann, and S. Schaefer, J. High Energy Phys. 05 (2007) 029.
  45. A. Bazavov et al. (MILC Collaboration), Proc. Sci., LAT2009 (2009) 123 [arXiv:0911.0869].
  46. A. Bazavov et al. (MILC Collaboration), Phys. Rev. D 82, 074501 (2010).
  47. S. R. Sharpe, Proc. Sci., LAT2006 (2006) 022 [arXiv:hep-lat/0610094].
  48. M. Creutz, Proc. Sci., LAT2007 (2007) 007 [arXiv:0708.1295].
  49. U. M. Heller, F. Karsch, and B. Sturm, Phys. Rev. D 60, 114502 (1999).
  50. P. Hegde, F. Karsch, E. Laermann, and S. Shcheredin, Eur. Phys. J. C 55, 423 (2008).
  51. RBC-Bielefeld Collaboration (work in progress).
  52. M. Clark, A. Kennedy, and Z. Sroczynski, Nucl. Phys. B, Proc. Suppl. 140, 835 (2005).
  53. M. Clark, P. de Forcrand, and A. Kennedy, Proc. Sci., LAT2005 (2006) 115 [arXiv:hep-lat/0510004].
  54. A. Bazavov et al. (MILC Collaboration), Proc. Sci., LATTICE2008 (2008) 033 [arXiv:0903.0874].
  55. R. Sommer, Nucl. Phys. B411, 839 (1994).
  56. C. Aubin et al., Phys. Rev. D 70, 094505 (2004).
  57. S. Necco and R. Sommer, Nucl. Phys. B622, 328 (2002).
  58. D. Toussaint (private communication).
  59. A. Bazavov et al. (MILC Collaboration), Proc. Sci., LATTICE2010 (2010) 074 [arXiv:1012.0868].
  60. C. Davies, E. Follana, I. Kendall, G. Lepage, and C. McNeile (HPQCD Collaboration), Phys. Rev. D 81, 034506 (2010).
  61. A. Gray et al., Phys. Rev. D 72, 094507 (2005).
  62. C. W. Bernard et al., Phys. Rev. D 64, 054506 (2001).
  63. W.-J. Lee and S. R. Sharpe, Phys. Rev. D 60, 114503 (1999).
  64. M. Cheng et al., Eur. Phys. J. C 51, 875 (2007).
  65. S. Ejiri et al., Phys. Rev. D 80, 094505 (2009).
  66. J. Engels, S. Holtmann, T. Mendes, and T. Schulze, Phys. Lett. B 492, 219 (2000).
  67. D. Toussaint, Phys. Rev. D 55, 362 (1997).
  68. J. Engels and T. Mendes, Nucl. Phys. B572, 289 (2000).
  69. J. Engels, S. Holtmann, T. Mendes, and T. Schulze, Phys. Lett. B 514, 299 (2001).
  70. O. Kaczmarek et al., Phys. Rev. D 83, 014504 (2011).
  71. A. Cucchieri, J. Engels, S. Holtmann, T. Mendes, and T. Schulze, J. Phys. A 35, 6517 (2002).
  72. D. Wallace and R. Zia, Phys. Rev. B 12, 5340 (1975).
  73. P. Hasenfratz and H. Leutwyler, Nucl. Phys. B343, 241 (1990).
  74. A. V. Smilga and J. Stern, Phys. Lett. B 318, 531 (1993).
  75. A. V. Smilga and J. Verbaarschot, Phys. Rev. D 54, 1087 (1996).
  76. M. Cheng et al., Eur. Phys. J. C 71, 1564 (2011).
  77. O. Kaczmarek, F. Karsch, P. Petreczky, and F. Zantow, Phys. Lett. B 543, 41 (2002).
  78. S. Digal, S. Fortunato, and P. Petreczky, Phys. Rev. D 68, 034008 (2003).
  79. O. Kaczmarek and F. Zantow, Phys. Rev. D 71, 114510 (2005).
  80. P. Petreczky and K. Petrov, Phys. Rev. D 70, 054503 (2004).
  81. C. Bernard et al., Proc. Sci., LAT2007 (2007) 090 [arXiv:0710.1118].
  82. A. Bazavov et al. (MILC Collaboration), Phys. Rev. D 81, 114501 (2010).

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation