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Prog. Theor. Phys. Vol. 114 No. 4 (2005) pp. 813-843

[ Full Text PDF : OPEN SELECT (326K) ]

Thermodynamics of Two-Flavor Quark Matter in the Instanton Vacuum at Finite Chemical Potential

Hiyoshi Kiuchi and Makoto Oka

Department of Physics, Tokyo Institute of Technology, Tokyo 152-8551, Japan

(Received February 3, 2005)

Abstract:

The thermodynamics of quark matter consisting of two light flavors (up and down) in the instanton vacuum is investigated at finite chemical potential (µ) and partly at finite temperature. The derivation of the instanton-induced interaction is performed by a method based on the LSZ reduction formula, which is a new procedure for the case of finite µ. The finite µ form factors arising from zero mode quarks are calculated without approximation. Phase structures for Nc = 3 and Nc = 2 are investigated using the thermodynamic potential in the mean-field approximation. It is found that in most cases the double-condensate phase, in which both chiral and diquark condensates coexist, can be realized between the pure chiral condedsate and pure diquark condensate phases. In addition, several thermodynamic quantities, including occupation numbers, quark number densities and the latent heat in the chiral phase transition, are also computed numerically.


URL : http://ptp.ipap.jp/link?PTP/114/813/
DOI : 10.1143/PTP.114.813

[ Full Text PDF : OPEN SELECT (326K) ] Citation:

References:

  1. K. Higashijima, Phys. Rev. D 29 (1984), 1228[APS].
  2. M. Asakawa and K. Yazaki, Nucl. Phys. A 504 (1989), 668[CrossRef].
  3. M. Iwasaki and T. Iwado, Phys. Lett. B 350 (1995), 163[CrossRef].
  4. M. Alford, Prog. Theor. Phys. Suppl. No. 153 (2004), 1[PTP].
  5. M. Alford, Annu. Rev. Nucl. Part. Sci. 51 (2001), 131.
  6. D. Blaschke, M. K. Volkov and V. L. Yudichev, hep-ph/0301065[e-print arXiv].
  7. M. Iwasaki and H. Kiuchi, Phys. Rev. D 68 (2003), 014014[APS].
  8. H. Abuki, T. Hatsuda and K. Itakura, Phys. Rev. D 65 (2002), 074014[APS].
  9. D. Diakonov, H. Forkel and M. Lutz, Phys. Lett. B 373 (1996), 147[CrossRef].
  10. M. Alford, K. Rajagopal and F. Wilczek, Phys. Lett. B 422 (1998), 247[CrossRef].
  11. J. Berges and K. Rajagopal, Nucl. Phys. B 538 (1999), 215[CrossRef].
  12. G. W. Carter and D. Diakonov, Nucl. Phys. A 642 (1998), c78[CrossRef].
  13. G. W. Carter and D. Diakonov, Phys. Rev. D 60 (1999), 016004[APS].
  14. C. A. de Carvalho, Nucl. Phys. B 183 (1981), 182[CrossRef].
  15. R. Rapp, T. Schäfer, E. Shuryak and M. Velkovsky, Ann. of Phys. 280 (2000), 35[CrossRef].
  16. G. W. Carter and D. Diakonov, Nucl. Phys. B 582 (2000), 571[CrossRef].
  17. M. A. Shifman, A. I. Vainshtein and V. I. Zakharov, Nucl. Phys. B 163 (1980), 46[CrossRef].
  18. T. Schäfer, Phys. Rev. D 57 (1998), 3950[APS].
  19. G. 't Hooft, Phys. Rev. D 14 (1976), 3432[APS].
  20. C. G. Callan, R. Dashen and D. J. Gross, Phys. Rev. D 17 (1978), 2717[APS].
  21. D. Diakonov, Prog. Part. Nucl. Phys. 51 (2003), 173.
  22. R. Rapp, T. Schäfer, E. Shuryak and M. Velkovsky, Phys. Rev. Lett. 81 (1998), 53[APS].
  23. J. Kogut, M. Stone, H. W. Wyld, W. R. Gibbs, J. Shigemitsu, S. H. Shenker and D. K. Sinclair, Phys. Rev. Lett. 50 (1983), 393[APS].
  24. Y. Hatta and K. Fukushima, Phys. Rev. D 69 (2004), 097502[APS].
  25. O. Kiriyama, M. Maruyama and F. Takagi, Phys. Rev. D 62 (2000), 105008[APS].
  26. Y. Taniguchi and Y. Yoshida, Phys. Rev. D 55 (1997), 2283[APS].
  27. M. Huang, P. Zhuang and W. Chao, Phys. Rev. D 65 (2002), 076012[APS].
  28. R. S. Duhau, A. G. Grunfeld and N. N. Scoccola, Phys. Rev. D 70 (2004), 074026[APS].
  29. D. Blaschke, M. K. Volkov and V. L. Yudichev, Eur. Phys. J. A 17 (2003), 103[CrossRef].
  30. B. Vanderheyden and A. D. Jackson, Phys. Rev. D 62 (2000), 094010[APS].
  31. Y. Nishida, K. Fukushima and T. Hatsuda, Phys. Rep. 398 (2004), 281[CrossRef].
  32. D. H. Rischke, Phys. Rev. D 62 (2000), 034007[APS].
  33. E. Witten, Phys. Rev. Lett. 38 (1977), 121[APS].
  34. C. Ratti and W. Weise, Phys. Rev. D 70 (2004), 054013[APS].
  35. J. B. Kogut, M. A. Stephanov, D. Toublan, J. J. M. Verbaarschot and A. Zhitnitsky, Nucl. Phys. B 582 (2000), 477[CrossRef].
  36. J. B. Kogut, D. K. Sinclair, S. J. Hands and S. E. Morrison, Phys. Rev. D 64 (2001), 094505[APS].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 115 No. 5 (2006) pp. 909-929 :
    Charge Neutral Two-Flavor Quark Matter in the Instanton Vacuum and Compact Stars
    Hiyoshi Kiuchi and Makoto Oka

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