Toward a first-principle derivation of confinement and chiral-symmetry- breaking crossover transitions in QCD

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 82, Issue 6, 2010, Pages

  Kondo, Kei Ichi ^a,b  

^a CHIBA UNIVERSITY   (Japan)

^b UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 78651093458     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.82.065024     Document Type: Article

References (113)

1. J.B. Kogut and M.A. Stephanov, The Phases of Quantum Chromodynamics: From Confinement to Extreme Environments (Cambridge University Press, Cambridge, 2004).
2. K. Yagi, T. Hatsuda, and Y. Miake, Quark-Gluon Plasma (Cambridge University Press, Cambridge, 2005).
3. A.M. Polyakov, Phys. Lett. B 72, 477 (1978). PYLBAJ 0370-2693 10.1016/0370-2693(78)90737-2
4. F. Karsch, Lect. Notes Phys. 583, 209 (2002). LNPHA4 0075-8450 10.1007/3-540-45792-5-6
5. F. Karsch and E. Laermann, Phys. Rev. D PRVDAQ 0556-2821 50, 6954 (1994); 10.1103/PhysRevD.50.6954
6. S. Aoki, Phys. Rev. D PRVDAQ 0556-2821 57, 3910 (1998). 10.1103/PhysRevD.57.3910
7. F. Karsch and M. Lutgemeier, Nucl. Phys. NUPBBO 0550-3213 B550, 449 (1999). 10.1016/S0550-3213(99)00129-7
8. A. Casher, Phys. Lett. 83B, 395 (1979); PYLBAJ 0370-2693 10.1016/0370-2693(79)91137-7
9. G. 't Hooft, in Recent Developments in Gauge Theories, edited by, G. 't Hooft, (Plenum Press, New York, 1980).
10. J.B. Kogut, M.A. Stephanov, and D. Toublan, Phys. Lett. B 464, 183 (1999); PYLBAJ 0370-2693 10.1016/S0370-2693(99)00971-5
11. J.B. Kogut, M.A. Stephanov, D. Toublan, J.J.M. Verbaarschot, and A. Zhitnitsky, Nucl. Phys. NUPBBO 0550-3213 B582, 477 (2000). 10.1016/S0550- 3213(00)00242-X
12. L. McLerran and R.D. Pisarski, Nucl. Phys. A796, 83 (2007). NUPABL 0375-9474 10.1016/j.nuclphysa.2007.08.013
13. S. Hands, S. Kim, and J.-I. Skullerud, Phys. Rev. D PRVDAQ 1550-7998 81, 091502 (2010). 10.1103/PhysRevD.81.091502
14. B.W. Lee, Chiral Dynamics (Gordon & Breach, New York, 1972).
15. Y. Nambu and G. Jona-Lasinio, Phys. Rev. 122, 345 (1961); PHRVAO 0031-899X 10.1103/PhysRev.122.345
16. Y. Nambu G. Jona-Lasinio Phys. Rev. 124, 246 (1961). PHRVAO 0031-899X 10.1103/PhysRev.124.246
17. S.P. Klevansky, Rev. Mod. Phys. 64, 649 (1992). RMPHAT 0034-6861 10.1103/RevModPhys.64.649
18. T. Hatsuda and T. Kunihiro, Phys. Rep. PRPLCM 0370-1573 247, 221 (1994). 10.1016/0370-1573(94)90022-1
19. E. Shuryak and J.J.M. Verbaarschot, Nucl. Phys. A560, 306 (1993). NUPABL 0375-9474 10.1016/0375-9474(93)90098-I
20. J. Gasser and H. Leutwyler, Ann. Phys. (N.Y.) APNYA6 0003-4916 158, 142 (1984). 10.1016/0003-4916(84)90242-2
21. P.N. Meisinger and M.C. Ogilvie, Phys. Lett. B 379, 163 (1996). PYLBAJ 0370-2693 10.1016/0370-2693(96)00447-9
22. A. Mocsy, F. Sannino, and K. Tuominen, Phys. Rev. Lett. 92, 182302 (2004); PRLTAO 0031-9007 10.1103/PhysRevLett.92.182302
23. A. Mocsy F. Sannino K. Tuominen arXiv:hep-ph/0401149.
24. K. Fukushima, Phys. Lett. B 591, 277 (2004). PYLBAJ 0370-2693 10.1016/j.physletb.2004.04.027
25. E. Megias, E. Ruiz Arriola, and L.L. Salcedo, Phys. Rev. D PRVDAQ 1550-7998 74, 065005 (2006); 10.1103/PhysRevD.74.065005 (Pubitemid 44360306)
26. E. Megias E. Ruiz Arriola L.L. Salcedo Phys. Rev. D PRVDAQ 1550-7998 74, 114014 (2006); 10.1103/PhysRevD.74.114014 (Pubitemid 44927334)
27. E. Megias E. Ruiz Arriola L.L. Salcedo J. High Energy Phys. JHEPFG 1029-8479 01 (2006) 073. 10.1088/1126-6708/2006/01/073
28. C. Ratti, M.A. Thaler, and W. Weise, Phys. Rev. D PRVDAQ 1550-7998 73, 014019 (2006). 10.1103/PhysRevD.73.014019
29. T. Hell, S. Rössner, M. Cristoforetti, and W. Weise, Phys. Rev. D PRVDAQ 1550-7998 79, 014022 (2009). 10.1103/PhysRevD.79.014022
30. C. Sasaki, B. Friman, and K. Redlich, Phys. Rev. D PRVDAQ 1550-7998 75, 074013 (2007). 10.1103/PhysRevD.75.074013
31. D. Blaschke, M. Buballa, A.E. Radzhabov, and M.K. Volkov, Yad. Fiz. 71, 2012 (2008); IDFZA7 0044-0027
32. D. Blaschke M. Buballa A.E. Radzhabov M.K. Volkov Phys. At. Nucl. PANUEO 1063-7788 71, 1981 (2008); 10.1134/S1063778808110161
33. D. Gomez Dumm, D.B. Blaschke, A.G. Grunfeld, and N.N. Scoccola, Phys. Rev. D PRVDAQ 1550-7998 73, 114019 (2006). 10.1103/PhysRevD.73.114019
34. K. Kashiwa, H. Kouno, M. Matsuzaki, and M. Yahiro, Phys. Lett. B 662, 26 (2008). PYLBAJ 0370-2693 10.1016/j.physletb.2008.01.075
35. B.-J. Schaefer, J.M. Pawlowski, and J. Wambach, Phys. Rev. D PRVDAQ 1550-7998 76, 074023 (2007). 10.1103/PhysRevD.76.074023
36. C. Wetterich, Phys. Lett. B 301, 90 (1993). PYLBAJ 0370-2693 10.1016/0370-2693(93)90726-X
37. J. Berges, N. Tetradis, and C. Wetterich, Phys. Rep. PRPLCM 0370-1573 363, 223 (2002).
38. H. Gies, arXiv:hep-ph/0611146.
39. J. Braun, L.M. Haas, F. Marhauser, and J.M. Pawlowski, arXiv:0908.0008.
40. N. Weiss, Phys. Rev. D PRVDAQ 0556-2821 24, 475 (1981). 10.1103/PhysRevD.24.475
41. J. Braun, H. Gies, and J.M. Pawlowski, Phys. Lett. B 684, 262 (2010). PYLBAJ 0370-2693 10.1016/j.physletb.2010.01.009
42. F. Marhauser and J.M. Pawlowski, arXiv:0812.1144.
43. Y.M. Cho, Phys. Rev. D PRVDAQ 0556-2821 21, 1080 (1980); 10.1103/PhysRevD.21.1080
44. Y.M. Cho Phys. Rev. D PRVDAQ 0556-2821 23, 2415 (1981). 10.1103/PhysRevD.23.2415
45. Y.S. Duan and M.L. Ge, Sinica Sci. 11, 1072 (1979).
46. L. Faddeev and A.J. Niemi, Phys. Rev. Lett. 82, 1624 (1999). PRLTAO 0031-9007 10.1103/PhysRevLett.82.1624
47. S.V. Shabanov, Phys. Lett. B 458, 322 (1999); PYLBAJ 0370-2693 10.1016/S0370-2693(99)00612-7
48. S.V. Shabanov Phys. Lett. B 463, 263 (1999). PYLBAJ 0370-2693 10.1016/S0370-2693(99)01024-2
49. K.-I. Kondo, T. Murakami, and T. Shinohara, Prog. Theor. Phys. 115, 201 (2006). PTPKAV 0033-068X 10.1143/PTP.115.201 (Pubitemid 43600693)
50. K.-I. Kondo, T. Murakami, and T. Shinohara, Eur. Phys. J. C 42, 475 (2005). EPCFFB 1434-6044 10.1140/epjc/s2005-02344-4 (Pubitemid 41202550)
51. K.-I. Kondo, Phys. Rev. D PRVDAQ 1550-7998 74, 125003 (2006). 10.1103/PhysRevD.74.125003 (Pubitemid 44888153)
52. K.-I. Kondo, T. Shinohara, and T. Murakami, Prog. Theor. Phys. 120, 1 (2008). PTPKAV 0033-068X 10.1143/PTP.120.1
53. S. Kato, Phys. Lett. B 632, 326 (2006). PYLBAJ 0370-2693 10.1016/j.physletb.2005.10.089 (Pubitemid 41814506)
54. S. Ito, Phys. Lett. B 645, 67 (2007). PYLBAJ 0370-2693 10.1016/j.physletb.2006.11.066
55. A. Shibata, Phys. Lett. B 653, 101 (2007). PYLBAJ 0370-2693 10.1016/j.physletb.2007.07.042
56. A. Shibata, Proc. Sci., LATTICE-2007 (2007) 331; 1824-8039
57. A. Shibata, Proc. Sci., LATTICE 2008 (2008) 268. 1824-8039
58. K.-I. Kondo, Phys. Lett. B PYLBAJ 0370-2693 669, 107 (2008). 10.1016/j.physletb.2008.09.031
59. A. Shibata, K.-I. Kondo, and T. Shinohara, Phys. Lett. B 691, 91 (2010). PYLBAJ 0370-2693 10.1016/j.physletb.2010.06.020
60. Y.M. Cho, Phys. Rev. D PRVDAQ 0556-2821 62, 074009 (2000). 10.1103/PhysRevD.62.074009 (Pubitemid 40647646)
61. K.-I. Kondo, Phys. Rev. D PRVDAQ 1550-7998 77, 085029 (2008). 10.1103/PhysRevD.77.085029
62. K.-I. Kondo and A. Shibata, arXiv:0801.4203.
63. K.-I. Kondo, J. Phys. G JPGPED 0954-3899 35, 085001 (2008). 10.1088/0954-3899/35/8/085001
64. Y. Nambu, Phys. Rev. D PRVDAQ 0556-2821 10, 4262 (1974); 10.1103/PhysRevD.10.4262
65. G. 't Hooft, in High Energy Physics, edited by, A. Zichichi, (Editorice Compositori, Bologna, 1975);
66. S. Mandelstam, Phys. Rep. PRPLCM 0370-1573 23, 245 (1976); 10.1016/0370-1573(76)90043-0
67. A.M. Polyakov, Nucl. Phys. NUPBBO 0550-3213 B120, 429 (1977). 10.1016/0550-3213(77)90086-4
68. P.N. Meisinger and M.C. Ogilvie, Phys. Lett. B 407, 297 (1997); PYLBAJ 0370-2693 10.1016/S0370-2693(97)00741-7
69. M. Engelhardt and H. Reinhardt, Phys. Lett. B 430, 161 (1998); PYLBAJ 0370-2693 10.1016/S0370-2693(98)00497-3
70. H. Gies, Phys. Rev. D PRVDAQ 0556-2821 63, 025013 (2000); 10.1103/PhysRevD.63.025013
71. J. Braun, H. Gies, and H.-J. Pirner, AIP Conf. Proc. 775, 162 (2005). APCPCS 0094-243X 10.1063/1.1961053 (Pubitemid 44515996)
72. S. Kato, K.-I. Kondo, T. Murakami, A. Shibata, and T. Shinohara, arXiv:hep-ph/0504054.
73. A. Shibata, 27th International Symposium on Lattice Field Theory (Lattice 2009), Beijing, China, 2009;
74. A. Shibata, arXiv:0911.4533.
75. Z.F. Ezawa and A. Iwazaki, Phys. Rev. D PRVDAQ 0556-2821 25, 2681 (1982). 10.1103/PhysRevD.25.2681
76. T. Suzuki and I. Yotsuyanagi, Phys. Rev. D PRVDAQ 0556-2821 42, 4257 (1990). 10.1103/PhysRevD.42.4257
77. J.D. Stack, S.D. Neiman, and R. Wensley, Phys. Rev. D PRVDAQ 0556-2821 50, 3399 (1994); 10.1103/PhysRevD.50.3399
78. H. Shiba and T. Suzuki, Phys. Lett. B 333, 461 (1994). PYLBAJ 0370-2693 10.1016/0370-2693(94)90168-6
79. K.-I. Kondo, Phys. Lett. B 514, 335 (2001); PYLBAJ 0370-2693 10.1016/S0370-2693(01)00817-6 (Pubitemid 32725983)
80. K.-I. Kondo Phys. Lett. B 572, 210 (2003); PYLBAJ 0370-2693 10.1016/j.physletb.2003.08.024
81. L.D. Faddeev and A.J. Niemi, Nucl. Phys. NUPBBO 0550-3213 B776, 38 (2007). 10.1016/j.nuclphysb.2006.12.011
82. K. Amemiya and H. Suganuma, Phys. Rev. D PRVDAQ 0556-2821 60, 114509 (1999); 10.1103/PhysRevD.60.114509 (Pubitemid 40647371)
83. V.G. Bornyakov, M.N. Chernodub, F.V. Gubarev, S.M. Morozov, and M.I. Polikarpov, Phys. Lett. B 559, 214 (2003). PYLBAJ 0370-2693 10.1016/S0370- 2693(03)00368-X
84. H. Suganuma, Nucl. Phys. B, Proc. Suppl. NPBSE7 0920-5632 106, 679 (2002). 10.1016/S0920-5632(01)01814-X (Pubitemid 36462425)
85. K. Amemiya and H. Suganuma, Nucl. Phys. B, Proc. Suppl. NPBSE7 0920-5632 83, 419 (2000).
86. K.-I. Kondo, A. Shibata, T. Shinohara, and S. Kato, arXiv:1007.2696;
87. A. Shibata (unpublished).
88. V.A. Miransky, Nuovo Cimento Soc. Ital. Fis. A NIFAAM 1124-1861 90, 149 (1985); 10.1007/BF02724229
89. W.A. Bardeen, C.N. Leung, and S.T. Love, Phys. Rev. Lett. 56, 1230 (1986); PRLTAO 0031-9007 10.1103/PhysRevLett.56.1230
90. C.N. Leung, S.T. Love, and W.A. Bardeen, Nucl. Phys. NUPBBO 0550-3213 B273, 649 (1986). 10.1016/0550-3213(86)90382-2
91. K.-I. Kondo, H. Mino, K. Yamawaki, Phys. Rev. D PRVDAQ 0556-2821 39, 2430 (1989); 10.1103/PhysRevD.39.2430
92. T. Appelquist, M. Soldate, T. Takeuchi, and L.C.R. Wijewardhana, in Proceedings of Johns Hopkins Workshop on Current Problems in Particle Theory 12, Baltimore, 1988, edited by, G. Domokos, and, S. Kovesi-Domokos, (World Scientific, Singapore, 1988), p. 197.
93. K.-I. Kondo, Int. J. Mod. Phys. A 6, 5447 (1991); IMPAEF 0217-751X 10.1142/S0217751X91002562
94. K.-I. Kondo Nucl. Phys. NUPBBO 0550-3213 B351, 259 (1991); 10.1016/0550-3213(91)90090-K
95. K.-I. Kondo and H. Nakatani, Nucl. Phys. NUPBBO 0550-3213 B351, 236 (1991); 10.1016/0550-3213(91)90089-G
96. K.-I. Kondo, Y. Kikukawa, and H. Mino, Phys. Lett. B 220, 270 (1989). PYLBAJ 0370-2693 10.1016/0370-2693(89)90050-6
97. K.-I. Kondo, Nagoya Spring School on Dynamical Symmetry Breaking, Nakatsugawa, Japan, 1991, CHIBA-EP-52.
98. K.-I. Kondo, S. Shuto, and K. Yamawaki, Mod. Phys. Lett. A 6, 3385 (1991). MPLAEQ 0217-7323 10.1142/S0217732391003912
99. K.-I. Aoki, K. Morikawa, J. Sumi, H. Terao, and M. Tomoyose, Prog. Theor. Phys. 102, 1151 (1999). PTPKAV 0033-068X 10.1143/PTP.102.1151
100. H. Gies, Phys. Rev. D PRVDAQ 0556-2821 63, 125023 (2001). 10.1103/PhysRevD.63.125023 (Pubitemid 33794465)
101. D.F. Litim, Phys. Rev. D PRVDAQ 0556-2821 64, 105007 (2001). 10.1103/PhysRevD.64.105007
102. D.F. Litim Phys. Lett. B 486, 92 (2000). PYLBAJ 0370-2693 10.1016/S0370-2693(00)00748-6
103. J. Braun and H. Gies, Phys. Lett. B 645, 53 (2007); PYLBAJ 0370-2693 10.1016/j.physletb.2006.11.059
104. J. Braun H. Gies J. High Energy Phys. JHEPFG 1029-8479 06 (2006) 024. 10.1088/1126-6708/2006/06/024
105. C.S. Fischer and R. Alkofer, Phys. Lett. B 536, 177 (2002). PYLBAJ 0370-2693 10.1016/S0370-2693(02)01809-9
106. C.S. Fischer, A. Maas, and J.M. Pawlowski, Ann. Phys. (N.Y.) APNYA6 0003-4916 324, 2408 (2009). 10.1016/j.aop.2009.07.009
107. K.-I. Kondo, Phys. Lett. B 678, 322 (2009); PYLBAJ 0370-2693 10.1016/j.physletb.2009.06.026
108. K.-I. Kondo Prog. Theor. Phys. 122, 1455 (2009). PTPKAV 0033-068X 10.1143/PTP.122.1455
109. K.-I. Kondo arXiv:0909.4866.
110. Y. Takahashi, Soryushiron kenkyu 66, 127 (1982). SOKEAK 0371-1838
111. Y. Sakai, T. Sasaki, H. Kouno, and M. Yahiro, arXiv:1006.3648.
112. J. Braun, Eur. Phys. J. C EPCFFB 1434-6044 64, 459 (2009). 10.1140/epjc/s10052-009-1136-6
113. K.-I. Kondo, The YITP workshop "New Frontiers in QCD 2010 (NFQCD10)" held at the Yukawa Institute for Theoretical Physics, Kyoto University, 2010.