Thermodynamics and phase structure of the two-flavor Nambu-Jona-Lasinio model beyond large Nc

Physical Review C - Nuclear Physics

Volumn 81, Issue 6, 2010, Pages

  Kneur, Jean Loïc ^a   Pinto, Marcus Benghi ^b,c   Ramos, Rudnei O ^d,e  

^a UNIVERSITÉ MONTPELLIER II   (France)

^b LAWRENCE BERKELEY NATIONAL LABORATORY   (United States)

^c FEDERAL UNIVERSITY OF SANTA CATARINA   (Brazil)

^d STATE UNIVERSITY OF RIO DE JANEIRO   (Brazil)

^e UNIVERSITY OF EDINBURGH   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77953529016     PISSN: 05562813     EISSN: 1089490X     Source Type: Journal    
DOI: 10.1103/PhysRevC.81.065205     Document Type: Article

References (89)

1. Y. Nambu and G. Jona-Lasinio, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.122.345 122, 345 (1961);
2. Y. Nambu and G. Jona-Lasinio, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.124.246 124, 246 (1961).
3. S. P. Klevansky, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.64. 649 64, 649 (1992).
4. T. Hatsuda and T. Kunihiro, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(94)90022-1 247, 221 (1994).
5. M. Buballa, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2004.11.004 407, 205 (2005).
6. V. Dmitrasinovic, H. G. Schulze, R. Tegen, and R. H. Lemmer, Ann. Phys. (NY) APNYA6 0003-4916 10.1006/aphy.1995.1024 238, 332 (1995).
7. M. Oertel, M. Buballa, and J. Wambach, Phys. Lett. B PYLBAJ 0370-2693 10.1016/S0370-2693(00)00215-X 477, 77 (2000);
8. M. Oertel, M. Buballa, and J. Wambach, Yad. Fiz. 64, 757 (2001).
9. R. Seznec and J. Zinn-Justin, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.524247 20, 1398 (1979);
10. J. C. Le Guillou and J. Zinn-Justin, Ann. Phys. (NY) APNYA6 0003-4916 10.1016/0003-4916(83)90067-2 147, 57 (1983);
11. V. I. Yukalov, Moscow Univ. Phys. Bull. 31, 10 (1976);
12. W. E. Caswell, Ann. Phys. (NY) APNYA6 0003-4916 10.1016/0003-4916(79) 90269-0 123, 153 (1979);
13. I. G. Halliday and P. Suranyi, Phys. Lett. B PYLBAJ 0370-2693 10.1016/0370-2693(79)91287-5 85, 421 (1979);
14. J. Killinbeck, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/14/5/020 14, 1005 (1981);
15. R. P. Feynman and H. Kleinert, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.34.5080 34, 5080 (1986);
16. H. F. Jones and M. Moshe, Phys. Lett. B PYLBAJ 0370-2693 10.1016/0370-2693(90)92045-K 234, 492 (1990);
17. A. Neveu, Nucl. Phys. B (Proc. Suppl.) NUPBBO 0920-5632 10.1016/0920-5632(91)90137-4 18, 242 (1990);
18. V. Yukalov, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.529320 32, 1235 (1991);
19. C. M. Bender, F. Cooper, K. A. Milton, M. Moshe, S. S. Pinsky, and L. M. Simmons, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.45.1248 45, 1248 (1992);
20. H. Yamada, Z. Phys. C ZPCFD2 0170-9739 10.1007/BF01555840 59, 67 (1993);
21. A. N. Sissakian, I. L. Solovtsov, and O. P. Solovtsova, Phys. Lett. B PYLBAJ 0370-2693 10.1016/0370-2693(94)90262-3 321, 381 (1994);
22. C. Arvanitis, F. Geniet, M. Iacomi, J.-L. Kneur, and A. Neveu, Int. J. Mod. Phys. A IMPAEF 0217-751X 10.1142/S0217751X97001730 12, 3307 (1997);
23. H. Kleinert, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.57.2264 57, 2264 (1998);
24. H. Kleinert, Phys. Lett. B PYLBAJ 0370-2693 10.1016/S0370-2693(98)00750-3 434, 74 (1998); for a review, see
25. H. Kleinert and V. Schulte-Frohlinde, Critical Properties of φ 4 theories (World Scientific, Singapore, 2001), Chap. 19;
26. K. G. Klimenko, Z. Phys. C ZPCFD2 0170-9739 10.1007/BF01551460 50, 477 (1991);
27. K. G. Klimenko, Z. Phys. C ZPCFD2 0170-9739 10.1007/BF01558396 60, 677 (1993);
28. K. G. Klimenko, Mod. Phys. Lett. A MPLAEQ 0217-7323 10.1142/ S0217732394001611 9, 1767 (1994);
29. M. B. Pinto, R. O. Ramos, and P. J. Sena, Physica A PHYADX 0378-4371 10.1016/j.physa.2004.05.042 342, 570 (2004).
30. J. Zinn-Justin, arXiv: 1001.0675 [math-ph].
31. F. F. de Souza Cruz, M. B. Pinto, and R. O. Ramos, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.64.014515 64, 014515 (2001);
32. J.-L. Kneur, M. B. Pinto, and R. O. Ramos, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.210403 89, 210403 (2002);
33. J.-L. Kneur, M. B. Pinto, and R. O. Ramos, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.043615 68, 043615 (2003);
34. E. Braaten and E. Radescu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.271602 89, 271602 (2002);
35. E. Braaten and E. Radescu, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.063601 66, 063601 (2002);
36. J.-L. Kneur, A. Neveu, and M. B. Pinto, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.053624 69, 053624 (2004);
37. B. Kastening, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.043621 70, 043621 (2004);
38. J.-L. Kneur and M. B. Pinto, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.033613 71, 033613 (2005).
39. M. B. Pinto and R. O. Ramos, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.60.105005 60, 105005 (1999);
40. M. B. Pinto and R. O. Ramos, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.61.125016 61, 125016 (2000);
41. R. L. S. Farias, G. Krein, and R. O. Ramos, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.78.065046 78, 065046 (2008).
42. J.-L. Kneur, M. B. Pinto, and R. O. Ramos, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.74.125020 74, 125020 (2006).
43. J.-L. Kneur, M. B. Pinto, R. O. Ramos, and E. Staudt, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.76.045020 76, 045020 (2007);
44. J.-L. Kneur, M. B. Pinto, R. O. Ramos, and E. Staudt, Phys. Lett. B PYLBAJ 0370-2693 10.1016/j.physletb.2007.10.013 657, 136 (2007).
45. E. S. Fraga, L. F. Palhares, and M. B. Pinto, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.79.065026 79, 065026 (2009).
46. H. Caldas, J.-L. Kneur, M. B. Pinto, and R. O. Ramos, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.77.205109 77, 205109 (2008).
47. J. B. Kogut and C. G. Strouthos, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.63.054502 63, 054502 (2001).
48. J.-L. Kneur and A. Neveu (to appear in Phys. Rev. D), arXiv: 1004.4834.
49. M. C. B. Abdalla, J. A. Helayel-Neto, D. L. Nedel, and C. R. Senise, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.80.065002 80, 065002 (2009).
50. C. Arvanitis, F. Geniet, J.-L. Kneur, and A. Neveu, Phys. Lett. B PYLBAJ 0370-2693 10.1016/S0370-2693(96)01384-6 390, 385 (1997);
51. J.-L. Kneur, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.57.2785 57, 2785 (1998).
52. J. O. Andersen, E. Braaten, and M. Strickland, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.2139 83, 2139 (1999);
53. J. O. Andersen, E. Braaten, and M. Strickland, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.61.014017 61, 014017 (1999);
54. J. O. Andersen, M. Strickland, and N. Su, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.122003 104, 122003 (2010).
55. M. Buballa, Nucl. Phys. A NUPABL 0375-9474 10.1016/S0375-9474(96)00314-4 611, 393 (1996).
56. V. Koch, T. S. Biro, J. Kunz, and U. Mosel, Phys. Lett. B PYLBAJ 0370-2693 10.1016/0370-2693(87)91517-6 185, 1 (1987).
57. O. A. Battistel, G. Dallabona, and G. Krein, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.77.065025 77, 065025 (2008).
58. A. Okopinska, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.35.1835 35, 1835 (1987);
59. M. Moshe and A. Duncan, Phys. Lett. B PYLBAJ 0370-2693 10.1016/0370-2693(88)91447-5 215, 352 (1988).
60. S. K. Gandhi and M. B. Pinto, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.46.2570 46, 2570 (1992).
61. P. M. Stevenson, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.23.2916 23, 2916 (1981);
62. P. M. Stevenson, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(82) 90325-X 203, 472 (1982).
63. K. Fukushima, Phys. Lett. B PYLBAJ 0370-2693 10.1016/j.physletb.2004.04. 027 591, 277 (2004).
64. For a very recent result, see, for example, H. Fukaya, S. Aoki, S. Hashimoto, T. Kaneko, J. Noaki, T. Onogi, and N. Yamada, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.122002 104, 122002 (2010).
65. See, for example, H. G. Dosch and S. Narison, Phys. Lett. B 0370-2693 10.1016/S0370-2693(97)01370-1 417, 173 (1998);
66. M. Jamin, Phys. Lett. B PYLBAJ 0370-2693 10.1016/S0370-2693(02)01951-2 538, 71 (2002).
67. M. Gell-Mann, R. J. Oakes, and B. Renner, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.175.2195 175, 2195 (1968).
68. J. Gasser and H. Leutwyler, Ann. Phys. (NY) APNYA6 0003-4916 10.1016/0003-4916(84)90242-2 158, 142 (1984);
69. J. Gasser and H. Leutwyler, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(85)90492-4 250, 465 (1985).
70. G. Colangelo, J. Gasser, and H. Leutwyler, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.5008 86, 5008 (2001).
71. S. Descotes-Genon, N. H. Fuchs, L. Girlanda, and J. Stern, Eur. Phys. J. C EPCFFB 1434-6044 10.1007/s10052-002-0965-3 24, 469 (2002).
72. S. Pislak (BNL-E865 Collaboration), Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.221801 87, 221801 (2001);
73. S. Pislak, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.67.072004 67, 072004 (2003).
74. S. Descotes-Genon, Eur. Phys. J. C EPCFFB 1434-6044 10.1140/epjc/s10052- 007-0359-7 52, 141 (2007).
75. J. R. Batley, Eur. Phys. J. C EPCFFB 1434-6044 10.1140/epjc/s10052-008- 0547-0 54, 411 (2008).
76. See, e.g., H. Leutwyler, in Proceedings of the QCD 08 International Conference, Montpellier, France
77. H. Leutwyler, [Nucl. Phys. B (Proc. Suppl.) NPBSE7 0920-5632 10.1016/j.nuclphysbps.2008.12.076 186, 338 (2009)].
78. See, for example, E. Klempt and A. Zaitsev, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2007.07.006 454, 1 (2007).
79. S. Chiku and T. Hatsuda, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.58.076001 58, 076001 (1998).
80. D. Müller, M. Buballa, and J. Wambach, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.81.094022 81, 094022 (2010).
81. A. Barducci, R. Casalbuoni, Giulio Pettini, and L. Ravagli, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.69.096004 69, 096004 (2004);
82. J. O. Andersen and L. Kyllingstad, J. Phys. G JPGPED 0954-3899 10.1088/0954-3899/37/1/015003 37, 015003 (2009).
83. D. Kharzeev and K. Tuchin, J. High Energy Phys. JHEPFG 1126-6708 10.1088/1126-6708/2008/09/093 09 (2008) 093;
84. F. Karsch, D. Kharzeev, and K. Tuchin, Phys. Lett. B PYLBAJ 0370-2693 10.1016/j.physletb.2008.01.080 663, 217 (2008).
85. B.-J. Schaefer, J. M. Pawlowski, and J. Wambach, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.76.074023 76, 074023 (2007).
86. K. Fukushima, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.77.114028 77, 114028 (2008).
87. H. Mao, J. Jin, and M. Huang, J. Phys. G JPGPED 0954-3899 10.1088/0954-3899/37/3/035001 37, 035001 (2010).
88. J. I. Kapusta, Finite-Temperature Field Theory (Cambridge University Press, Cambridge, 1985);
89. M. Le Bellac, Thermal Field Theory (Cambridge University Press, Cambridge, 1996).