Phase transitions, θ behavior, and instantons in QCD and its holographic model

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 78, Issue 12, 2008, Pages

  Parnachev, Andrei ^a   Zhitnitsky, Ariel R ^b  

^a STONY BROOK UNIVERSITY   (United States)

^b UNIVERSITY OF BRITISH COLUMBIA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 57749195955     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.78.125002     Document Type: Article

References (75)

1. A.M. Polyakov, Nucl. Phys. NUPBBO 0550-3213 B120, 429 (1977). 10.1016/0550-3213(77)90086-4
2. A.A. Belavin, A.M. Polyakov, A.S. Shvarts, and Y.S. Tyupkin, Phys. Lett. B 59, 85 (1975). PYLBAJ 0370-2693 10.1016/0370-2693(75)90163-X
3. G. 't Hooft, in "Recent Developments in Gauge Theories" Charges 1979 (Plenum Press, NY, 1980);
4. G't Hooft Nucl. Phys. NUPBBO 0550-3213 B190, 455 (1981); 10.1016/0550-3213(81)90442-9
5. S. Mandelstam, Phys. Rep. 23, 245 (1976). PRPLCM 0370-1573 10.1016/0370-1573(76)90043-0
6. G. 't Hooft, in Confinement, Duality and Nonperturbative Aspects of QCD, edited by, P. van Baal, NATO ASI Series, 1998 (Plenum Press, NY, 1998);
7. G. 't Hooft, arXiv:hep-th/9812204.
8. E. Witten, Adv. Theor. Math. Phys.. 2, 505 (1998). 1095-0761
9. T. Sakai and S. Sugimoto, Prog. Theor. Phys. 113, 843 (2005); PTPKAV 0033-068X 10.1143/PTP.113.843
10. T. Sakai S. Sugimoto Prog. Theor. Phys. 114, 1083 (2005). PTPKAV 0033-068X 10.1143/PTP.114.1083
11. O. Bergman and G. Lifschytz, J. High Energy Phys. JHEPFG 1029-8479 04 (2007) 043. 10.1088/1126-6708/2007/04/043
12. V. Fateev, Nucl. Phys. NUPBBO 0550-3213 B154, 1 (1979); 10.1016/0550-3213(79)90367-5
13. B. Berg and M. Luscher, Commun. Math. Phys. CMPHAY 0010-3616 69, 57 (1979). 10.1007/BF01941324
14. A. Belavin, Phys. Lett. B 83, 317 (1979). PHLTAM 0031-9163 10.1016/0370-2693(79)91117-1
15. J.M. Maldacena, Adv. Theor. Math. Phys.. 2, 231 (1998); 1095-0761
16. J.M. Maldacena Int. J. Theor. Phys. 38, 1113 (1999). IJTPBM 0020-7748 10.1023/A:1026654312961
17. E. Witten, Adv. Theor. Math. Phys.. 2, 253 (1998). 1095-0761
18. S.S. Gubser, I.R. Klebanov, and A.M. Polyakov, Phys. Lett. B 428, 105 (1998). PYLBAJ 0370-2693 10.1016/S0370-2693(98)00377-3
19. E. Witten, Phys. Rev. Lett. 81, 2862 (1998). PRLTAO 0031-9007 10.1103/PhysRevLett.81.2862
20. A. Armoni, J. High Energy Phys. JHEPFG 1029-8479 06 (2004) 019. 10.1088/1126-6708/2004/06/019
21. J.L.F. Barbon, C. Hoyos-Badajoz, D. Mateos, and R.C. Myers, J. High Energy Phys. JHEPFG 1029-8479 10 (2004) 029. 10.1088/1126-6708/2004/10/029
22. U. Gursoy and E. Kiritsis, J. High Energy Phys. JHEPFG 1029-8479 02 (2008) 032; 10.1088/1126-6708/2008/02/032
23. U. Gursoy, E. Kiritsis, and F. Nitti, J. High Energy Phys. JHEPFG 1029-8479 02 (2008) 019. 10.1088/1126-6708/2008/02/019
24. U. Gursoy, E. Kiritsis, L. Mazzanti, and F. Nitti, Phys. Rev. Lett. 101, 181601 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.181601
25. T. Fugleberg, I.E. Halperin, and A. Zhitnitsky, Phys. Rev. D PRVDAQ 0556-2821 59, 074023 (1999). 10.1103/PhysRevD.59.074023
26. O. Aharony, J. Sonnenschein, and S. Yankielowicz, Ann. Phys. (N.Y.) APNYA6 0003-4916 322, 1420 (2007). 10.1016/j.aop.2006.11.002
27. A. Parnachev and D.A. Sahakyan, Phys. Rev. Lett. 97, 111601 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.97.111601
28. G. 't Hooft, Phys. Rev. D PRVDAQ 0556-2821 14, 3432 (1976). 10.1103/PhysRevD.14.3432
29. M.A. Shifman, A.I. Vainshtein, and V.I. Zakharov, Nucl. Phys. NUPBBO 0550-3213 B163, 46 (1980); 10.1016/0550-3213(80)90389-2
30. M.A. Shifman A.I. Vainshtein V.I. Zakharov Nucl. Phys. NUPBBO 0550-3213 B165, 45 (1980). 10.1016/0550-3213(80)90304-1
31. A.I. Vainshtein, V.I. Zakharov, V.A. Novikov, and M.A. Shifman, Usp. Fiz. Nauk 136, 553 (1982) UFNAAG 0042-1294
32. A.I. Vainshtein V.I. Zakharov V.A. Novikov M.A. Shifman Sov. Phys. Usp. 25, 195 (1982). SOPUAP 0038-5670 10.1070/PU1982v025n04ABEH004533
33. D.J. Gross, R.D. Pisarski, and L.G. Yaffe, Rev. Mod. Phys. 53, 43 (1981). RMPHAT 0034-6861 10.1103/RevModPhys.53.43
34. T. Schafer and E.V. Shuryak, Rev. Mod. Phys. 70, 323 (1998). RMPHAT 0034-6861 10.1103/RevModPhys.70.323
35. D. Kharzeev, R.D. Pisarski, and M.H.G. Tytgat, Phys. Rev. Lett. 81, 512 (1998). PRLTAO 0031-9007 10.1103/PhysRevLett.81.512
36. A.R. Zhitnitsky, Nucl. Phys. A 813, 279 (2008). NUPABL 0375-9474 10.1016/j.nuclphysa.2008.09.011
37. E. Vicari and H. Panagopoulos, arXiv:0803.1593.
38. J.B. Kogut and M.A. Stephanov, Cambridge Monogr. Part. Phys., Nucl. Phys., Cosmol. CMPCEN 21, 1 (2004).
39. B. Lucini, M. Teper, and U. Wenger, J. High Energy Phys. JHEPFG 1029-8479 01 (2004) 061. 10.1088/1126-6708/2004/01/061
40. D. Toublan and A.R. Zhitnitsky, Phys. Rev. D PRVDAQ 1550-7998 73, 034009 (2006). 10.1103/PhysRevD.73.034009
41. A.R. Zhitnitsky, arXiv:hep-ph/0601057.
42. D. Toublan, Phys. Lett. B 621, 145 (2005). PYLBAJ 0370-2693 10.1016/j.physletb.2005.06.064
43. P. de Forcrand and O. Philipsen, Nucl. Phys. NUPBBO 0550-3213 B642, 290 (2002). 10.1016/S0550-3213(02)00626-0
44. P. de Forcrand and O. Philipsen, Nucl. Phys. NUPBBO 0550-3213 B673, 170 (2003). 10.1016/j.nuclphysb.2003.09.005
45. Z. Fodor and S.D. Katz, J. High Energy Phys. JHEPFG 1029-8479 04 (2004) 050; 10.1088/1126-6708/2004/04/050
46. Z. Fodor, C. Guse, S.D. Katz, and K.K. Szabo, Proc. Sci., LATTICE2007 (2006) 189; 1824-8039
47. Z. Fodor, S.D. Katz, and C. Schmidt, J. High Energy Phys. JHEPFG 1029-8479 03 (2007) 121. 10.1088/1126-6708/2007/03/121
48. D.T. Son, M.A. Stephanov, and A.R. Zhitnitsky, Phys. Lett. B 510, 167 (2001). PYLBAJ 0370-2693 10.1016/S0370-2693(01)00607-4
49. S. Jaimungal and A.R. Zhitnitsky, arXiv:hep-ph/9904377.
50. G. Veneziano, Nucl. Phys. NUPBBO 0550-3213 B159, 213 (1979). 10.1016/0550-3213(79)90332-8
51. I. Halperin and A.R. Zhitnitsky, Phys. Rev. Lett. 81, 4071 (1998); PRLTAO 0031-9007 10.1103/PhysRevLett.81.4071
52. I. Halperin A.R. Zhitnitsky Phys. Rev. D PRVDAQ 0556-2821 58, 054016 (1998). 10.1103/PhysRevD.58.054016
53. T.C. Kraan and P. van Baal, Nucl. Phys. NUPBBO 0550-3213 B533, 627 (1998); 10.1016/S0550-3213(98)00590-2
54. T.C. Kraan P. van Baal Phys. Lett. B 428, 268 (1998); PYLBAJ 0370-2693 10.1016/S0370-2693(98)00411-0
55. T.C. Kraan P. van Baal Phys. Lett. B 435, 389 (1998); PYLBAJ 0370-2693 10.1016/S0370-2693(98)00799-0
56. M.G. Perez, T.G. Kovacs, and P. van Baal, Phys. Lett. B 472, 295 (2000); PYLBAJ 0370-2693 10.1016/S0370-2693(99)01451-3
57. K. Lee and P. Yi, Phys. Rev. D PRVDAQ 0556-2821 56, 3711 (1997); 10.1103/PhysRevD.56.3711
58. K. Lee, Phys. Lett. B 426, 323 (1998). PYLBAJ 0370-2693 10.1016/S0370-2693(98)00283-4
59. D. Diakonov, N. Gromov, V. Petrov, and S. Slizovskiy, Phys. Rev. D PRVDAQ 1550-7998 70, 036003 (2004); 10.1103/PhysRevD.70.036003
60. D. Diakonov and N. Gromov, Phys. Rev. D PRVDAQ 1550-7998 72, 025003 (2005). 10.1103/PhysRevD.72.025003
61. C. Gattringer, Phys. Rev. D PRVDAQ 0556-2821 67, 034507 (2003); 10.1103/PhysRevD.67.034507
62. C. Gattringer and S. Schaefer, Nucl. Phys. NUPBBO 0550-3213 B654, 30 (2003). 10.1016/S0550-3213(03)00083-X
63. M. Engelhardt and H. Reinhardt, Nucl. Phys. NUPBBO 0550-3213 B567, 249 (2000); 10.1016/S0550-3213(99)00727-0
64. M. Engelhardt H. Reinhardt Nucl. Phys. NUPBBO 0550-3213 B585, 591 (2000); 10.1016/S0550-3213(00)00445-4
65. J.M. Cornwall, Phys. Rev. D PRVDAQ 0556-2821 61, 085012 (2000); 10.1103/PhysRevD.61.085012
66. J.M. Cornwall Phys. Rev. D PRVDAQ 0556-2821 65, 085045 (2002). 10.1103/PhysRevD.65.085045
67. M. Unsal and L.G. Yaffe, Phys. Rev. D PRVDAQ 1550-7998 78, 065035 (2008). 10.1103/PhysRevD.78.065035
68. D. Diakonov and V. Petrov, Phys. Rev. D PRVDAQ 1550-7998 76, 056001 (2007). 10.1103/PhysRevD.76.056001
69. A. Gorsky and V. Zakharov, Phys. Rev. D PRVDAQ 1550-7998 77, 045017 (2008). 10.1103/PhysRevD.77.045017
70. M.N. Chernodub and V.I. Zakharov, Phys. Rev. Lett. 100, 222001 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.100.222001
71. B. Alles, M. D'Elia, and A. Di Giacomo, Nucl. Phys. NUPBBO 0550-3213 B494, 281 (1997); 10.1016/S0550-3213(97)00205-8
72. B. Alles M. D'Elia A. Di Giacomo Nucl. Phys. NUPBBO 0550-3213 B679, 397(E) (2004).
73. B. Lucini, M. Teper, and U. Wenger, Nucl. Phys. NUPBBO 0550-3213 B715, 461 (2005). 10.1016/j.nuclphysb.2005.02.037
74. L. Del Debbio, H. Panagopoulos, and E. Vicari, J. High Energy Phys. JHEPFG 1029-8479 09 (2004) 028. 10.1088/1126-6708/2004/09/028
75. B. Lucini, M. Teper, and U. Wenger, J. High Energy Phys. JHEPFG 1029-8479 02 (2005) 033. 10.1088/1126-6708/2005/02/033