Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Hot quark matter with an axial chemical potential

Raoul Gatto1 and Marco Ruggieri2

  • 1Departement de Physique Theorique, Universite de Geneve, CH-1211 Geneve 4, Switzerland
  • 2Department of Physics and Astronomy, University of Catania, Via S. Sofia 64, I-95125 Catania, Italy

Phys. Rev. D 85, 054013 – Published 16 March, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.054013

Abstract

We analyze the phase diagram of hot quark matter in presence of an axial chemical potential, μ5. The latter is introduced to mimic the chirality transitions induced, in hot quantum chromodynamics, by the strong sphaleron configurations. In particular, we study the curvature of the critical line at small μ5, the effects of a finite quark mass and of a vector interaction. Moreover, we build the mixed phase at the first order phase transition line and draw the phase diagram in the chiral density and temperature plane. We finally compute the full topological susceptibility in presence of a background of topological charge.

Article Text

References (64)

  1. A. Adare et al. (PHENIX Collaboration), Phys. Rev. C 81, 034911 (2010).
  2. Y. Aoki, G. Endrodi, Z. Fodor, S. D. Katz, and K. K. Szabo, Nature (London) 443, 675 (2006); Y. Aoki, Z. Fodor, S. D. Katz, and K. K. Szabo, Phys. Lett. B 643, 46 (2006); Y. Aoki, S. Borsanyi, S. Durr, Z. Fodor, S. D. Katz, S. Krieg, and K. K. Szabo, J. High Energy Phys. 06 (2009) 088; S. Borsanyi et al. (Wuppertal-Budapest Collaboration), 09 (2010) 073; S. Borsanyi, G. Endrodi, Z. Fodor, A. Jakovac, S. D. Katz, S. Krieg, C. Ratti, and K. K. Szabo, 11 (2010) 077; G. Endrodi, Z. Fodor, S. D. Katz, and K. K. Szabo, 04 (2011) 001.
  3. M. Cheng, N. H. Christ, S. Datta, J. van der Heide, C. Jung, F. Karsch, O. Kaczmarek, E. Laermann et al., Phys. Rev. D 74, 054507 (2006); C. E. Detar et al. (HotQCD Collaboration), Proc. Sci., LAT2007 (2007) 179; F. Karsch, Proc. Sci., LAT2007 (2007) 015; (RBC and HotQCD Collaborations), J. Phys. G 35, 104096 (2008); A. Bazavov, T. Bhattacharya, M. Cheng, N. H. Christ, C. DeTar, S. Ejiri, S. Gottlieb, R. Gupta et al., Phys. Rev. D 80, 014504 (2009); M. Cheng, S. Ejiri, P. Hegde, F. Karsch, O. Kaczmarek, E. Laermann, R. D. Mawhinney, C. Miao et al., 81, 054504 (2010).
  4. P. de Forcrand, Proc. Sci., LAT2009 (2009) 010.
  5. T. Z. Nakano, K. Miura, and A. Ohnishi, Phys. Rev. D 83, 016014 (2011).
  6. P. de Forcrand and M. Fromm, Phys. Rev. Lett. 104, 112005 (2010).
  7. Y. Nambu and G. Jona-Lasinio, Phys. Rev. 122, 345 (1961); 124, 246 (1961).
  8. U. Vogl and W. Weise, Prog. Part. Nucl. Phys. 27, 195 (1991); S. P. Klevansky, Rev. Mod. Phys. 64, 649 (1992); T. Hatsuda and T. Kunihiro, Phys. Rep. 247, 221 (1994); M. Buballa, 407, 205 (2005).
  9. K. I. Kondo, Phys. Rev. D 82, 065024 (2010).
  10. M. Frasca, Phys. Rev. C 84, 055208 (2011).
  11. K. Fukushima, Phys. Lett. B 591, 277 (2004); P. N. Meisinger and M. C. Ogilvie, 379, 163 (1996).
  12. S. Roessner, C. Ratti, and W. Weise, Phys. Rev. D 75, 034007 (2007); C. Sasaki, B. Friman, and K. Redlich, 75, 074013 (2007); S. K. Ghosh, T. K. Mukherjee, M. G. Mustafa, and R. Ray, 77, 094024 (2008); A. Bhattacharyya, P. Deb, S. K. Ghosh, and R. Ray, 82, 014021 (2010).
  13. K. Fukushima, Phys. Rev. D 77, 114028 (2008); 78, 039902(E) (2008); M. Ciminale, R. Gatto, N. D. Ippolito, G. Nardulli, and M. Ruggieri, 77, 054023 (2008); W. j. Fu, Z. Zhang, and Y. x. Liu, 77, 014006 (2008); T. Hell, S. Rossner, M. Cristoforetti, and W. Weise, 81, 074034 (2010).
  14. H. Abuki, R. Anglani, R. Gatto, G. Nardulli, and M. Ruggieri, Phys. Rev. D 78, 034034 (2008).
  15. K. Kashiwa, H. Kouno, M. Matsuzaki, and M. Yahiro, Phys. Lett. B 662, 26 (2008); Y. Sakai, T. Sasaki, H. Kouno, and M. Yahiro, Phys. Rev. D 82, 076003 (2010).
  16. T. K. Herbst, J. M. Pawlowski, and B. J. Schaefer, Phys. Lett. B 696, 58 (2011).
  17. V. Skokov, B. Friman, E. Nakano, K. Redlich, and B. J. Schaefer, Phys. Rev. D 82, 034029 (2010).
  18. T. Kahara and K. Tuominen, Phys. Rev. D 78, 034015 (2008); 80, 114022 (2009); 82, 114026 (2010).
  19. Y. Sakai, H. Kouno, T. Sasaki, and M. Yahiro, Phys. Lett. B 705, 349 (2011).
  20. H. Kouno, Y. Sakai, T. Sasaki, K. Kashiwa, and M. Yahiro, Phys. Rev. D 83, 076009 (2011).
  21. Y. Sakai, T. Sasaki, H. Kouno, and M. Yahiro, Phys. Rev. D 82, 076003 (2010).
  22. V. Skokov, B. Friman, and K. Redlich, Phys. Rev. C 83, 054904 (2011); V. Skokov, B. Friman, E. Nakano, K. Redlich, and B.-J. Schaefer, Phys. Rev. D 82, 034029 (2010).
  23. J. O. Andersen, R. Khan, and L. T. Kyllingstad, arXiv:1102.2779.
  24. Y. Sakai, T. Sasaki, H. Kouno, and M. Yahiro, J. Phys. G 39, 035004 (2012).
  25. E. Megias, E. Ruiz Arriola, and L. L. Salcedo, Phys. Rev. D 74, 114014 (2006).
  26. E. Megias, E. Ruiz Arriola, and L. L. Salcedo, Phys. Rev. D 74, 065005 (2006).
  27. D. E. Kharzeev, L. D. McLerran, and H. J. Warringa, Nucl. Phys. A803, 227 (2008).
  28. V. Skokov, A. Y. Illarionov, and V. Toneev, Int. J. Mod. Phys. A 24, 5925 (2009).
  29. V. Voronyuk, V. D. Toneev, W. Cassing, E. L. Bratkovskaya, V. P. Konchakovski, and S. A. Voloshin, Phys. Rev. C 83, 054911 (2011).
  30. M. D’Elia, S. Mukherjee, and F. Sanfilippo, Phys. Rev. D 82, 051501 (2010).
  31. M. D’Elia and F. Negro, Phys. Rev. D 83, 114028 (2011).
  32. P. V. Buividovich, M. N. Chernodub, E. V. Luschevskaya, and M. I. Polikarpov, Phys. Lett. B 682, 484 (2010).
  33. A. J. Mizher, M. N. Chernodub, and E. S. Fraga, Phys. Rev. D 82, 105016 (2010).
  34. R. Gatto and M. Ruggieri, Phys. Rev. D 82, 054027 (2010); 83, 034016 (2011).
  35. N. O. Agasian and S. M. Fedorov, Phys. Lett. B 663, 445 (2008).
  36. E. S. Fraga and A. J. Mizher, Phys. Rev. D 78, 025016 (2008).
  37. M. N. Chernodub, Phys. Rev. D 82, 085011 (2010); Phys. Rev. Lett. 106, 142003 (2011).
  38. V. V. Braguta, P. V. Buividovich, M. N. Chernodub, and M. I. Polikarpov, arXiv:1104.3767.
  39. N. O. Agasian, arXiv:1109.5849.
  40. N. Callebaut, D. Dudal, and H. Verschelde, arXiv:1105.2217.
  41. K. Fukushima, Phys. Rev. D 83, 111501 (2011).
  42. G. D. Moore and M. Tassler, J. High Energy Phys. 02 (2011) 105.
  43. K. Fukushima, D. E. Kharzeev, and H. J. Warringa, Phys. Rev. D 78, 074033 (2008).
  44. B. I. Abelev et al. (STAR Collaboration), Phys. Rev. Lett. 103, 251601 (2009); Phys. Rev. C 81, 054908 (2010).
  45. K. Fukushima, D. E. Kharzeev, and H. J. Warringa, Nucl. Phys. A836, 311 (2010).
  46. B. Muller and A. Schafer, Phys. Rev. C 82, 057902 (2010).
  47. K. Fukushima, M. Ruggieri, and R. Gatto, Phys. Rev. D 81, 114031 (2010).
  48. M. N. Chernodub and A. S. Nedelin, Phys. Rev. D 83, 105008 (2011).
  49. M. Ruggieri, Phys. Rev. D 84, 014011 (2011).
  50. C. A. B. Bayona, K. Peeters, and M. Zamaklar, J. High Energy Phys. 06 (2011) 092.
  51. A. Yamamoto, Phys. Rev. Lett. 107, 031601 (2011).
  52. A. Yamamoto, arXiv:1106.5479; Proc. Sci. LATTICE2011 (2011) 220.
  53. L. D. McLerran, E. Mottola, and M. E. Shaposhnikov, Phys. Rev. D 43, 2027 (1991); H. B. Nielsen and M. Ninomiya, Phys. Lett. B 130, 389 (1983); A. N. Sisakian, O. Y. Shevchenko, and S. B. Solganik, arXiv:hep-th/9806047; M. Joyce, T. Prokopec, and N. Turok, Phys. Rev. D 53, 2958 (1996).
  54. V. A. Rubakov, arXiv:1005.1888.
  55. J. Braun and A. Janot, Phys. Rev. D 84, 114022 (2011).
  56. M. D’Elia and F. Sanfilippo, Phys. Rev. D 80, 111501 (2009).
  57. C. Bonati, G. Cossu, M. D’Elia, and F. Sanfilippo, Phys. Rev. D 83, 054505 (2011).
  58. M. G. Alford, K. Rajagopal, and F. Wilczek, Phys. Lett. B 422, 247 (1998).
  59. R. Rapp, T. Schafer, E. V. Shuryak, and M. Velkovsky, Phys. Rev. Lett. 81, 53 (1998).
  60. M. G. Alford, K. Rajagopal, and F. Wilczek, Nucl. Phys. B537, 443 (1999)
  61. G. Veneziano, Nucl. Phys. B159, 213 (1979); P. Di Vecchia and G. Veneziano, B171, 253 (1980).
  62. H. Leutwyler and A. V. Smilga, Phys. Rev. D 46, 5607 (1992).
  63. R. J. Crewther, Phys. Lett. B 70, 349 (1977).
  64. T. Fujihara, T. Inagaki, and D. Kimura, Prog. Theor. Phys. 117, 139 (2007); D. Boer and J. K. Boomsma, Phys. Rev. D 78, 054027 (2008); J. K. Boomsma and D. Boer, 80, 034019 (2009).

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation