Rotational symmetry breaking in multimatrix models

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 66, Issue 8, 2002, Pages

  Vernizzi, Graziano ^a   Wheater, John F ^a  

^a Department of Physics ^*  (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; ELEMENTARY PARTICLE; MATHEMATICAL ANALYSIS; PHYSICS; QUANTUM MECHANICS; QUANTUM THEORY; ROTATION; THEORETICAL MODEL;

EID: 17044448387     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.66.085024     Document Type: Article

References (94)

1. T. Guhr, A. Müller-Groeling, and H.A. Weidenmüller, Phys. Rep. 299, 190 (1998).
2. J.J.M. Verbaarschot and T. Wettig, Annu. Rev. Nucl. Part. Sci. 50, 343 (2000).
3. P. Di Francesco, P. Ginsparg, and J. Zinn-Justin, Phys. Rep. 254, 1 (1995).
4. J. Ambjorn, B. Durhuus, and T. Jonsson, Quantum Geometry (Cambridge University Press, Cambridge, England, 1997).
5. V.A. Kazakov, hep-th/0003064.
6. V.A. Kazakov, Phys. Lett. A 119, 140 (1986).
7. D.V. Boulatov and V.A. Kazakov, Phys. Lett. B 186, 379 (1987).
8. V. Kazakov, Nucl. Phys. B (Proc. Suppl.) 4, 93 (1988).
9. I. Kostov, Nucl. Phys. B (Proc. Suppl.) 10A, 295 (1989).
10. J.M. Daul, hep-th/9502014.
11. P. Zinn-Justin, J. Stat. Phys. 98, 245 (2001).
12. G. Bonnet, Phys. Lett. B 459, 575 (1999).
13. B. Eynard and G. Bonnet, Phys. Lett. B 463, 273 (1999).
14. I.K. Kostov, Phys. Lett. B 297, 74 (1992).
15. S. Kharchev, A. Marshakov, A. Mironov, A. Morozov, and S. Pakuliak, Nucl. Phys. B404, 717 (1993).
16. B. Eynard, J. Phys. A 31, 8081 (1998).
17. B. Eynard and M.L. Mehta, J. Phys. A 31, 4449 (1998).
18. B. Eynard, Nucl. Phys. B506, 633 (1997).
19. S. Chadha, G. Mahoux, and M.L. Mehta, J. Phys. A 14, 579 (1981).
20. G.M. Cicuta, L. Molinari, and E. Montaldi, Phys. Lett. B 306, 245 (1993).
21. P. Di Francesco, B. Eynard, and E. Guitter, Nucl. Phys. B516, 543 (1998).
22. L. Chekhov and C. Kristjansen, Nucl. Phys. B479, 683 (1996).
23. B. Eynard and C. Kristjansen, Nucl. Phys. B516, 529 (1998).
24. I.K. Kostov, hep-th/0005190.
25. P. Zinn-Justin, Europhys. Lett. 50, 15 (2000).
26. I.K. Kostov, Nucl. Phys. B575, 513 (2000).
27. D.A. Johnston and P. Plechac, Phys. Lett. A 248, 37 (1998).
28. D.A. Johnston, Phys. Lett. B 463, 9 (1999).
29. V.A. Kazakov and P. Zinn-Justin, Nucl. Phys. B546, 647 (1999).
30. P. Di Francesco, O. Golinelli, and E. Guitter, Math. Comput. Modell. 26, 97 (1997).
31. Y. Makeenko and I. Chepelev, hep-th/9601139.
32. M. Gaudin and I. Kostov, Phys. Lett. B 220, 200 (1989).
33. I.K. Kostov, Mod. Phys. Lett. A 4, 217 (1989).
34. I.K. Kostov and M. Staudacher, Nucl. Phys. B384, 459 (1992).
35. B. Eynard and J. Zinn-Justin, Nucl. Phys. B386, 558 (1992).
36. B. Eynard and C. Kristjansen, Nucl. Phys. B455, 577 (1995).
37. B. Eynard and C. Kristjansen, Nucl. Phys. B466, 463 (1996).
38. B. Durhuus and C. Kristjansen, Nucl. Phys. B483, 535 (1997).
39. P. Zinn-Justin, in Proceedings of the 1999 Semester of the MSRI Random Matrix Models and their Applications, MSRI Publications Vol. 40, edited by P. Bleher and A. Its (Cambridge University Press, Cambridge, England, 2001), pp. 421–438, math-ph/9910010.
40. P. Zinn-Justin and J.-B. Zuber, J. Knot Theory Ramif. 9, 1127 (2000).
41. P. Zinn-Justin, math-ph/0106005.
42. M. Engelhardt and S. Levit, Nucl. Phys. B488, 735 (1997).
43. B. Eynard, E. Guitter, and C. Kristjansen, Nucl. Phys. B528, 523 (1998).
44. P. Di Francesco, E. Guitter, and C. Kristjansen, Nucl. Phys. B549, 657 (1999).
45. C. Itzykson and J.B. Zuber, J. Math. Phys. 21, 411 (1980).
46. M.L. Mehta, Commun. Math. Phys. 79, 327 (1981).
47. M. Staudacher, Phys. Lett. B 305, 332 (1993).
48. M.R. Douglas and M. Li, Phys. Lett. B 348, 360 (1995).
49. J.M. Daul, V.A. Kazakov, and I.K. Kostov, Nucl. Phys. B409, 311 (1993).
50. M. Bertola, B. Eynard, and J. Harnad, nlin.SI/0112006.
51. N. Ishibashi, H. Kawai, Y. Kitazawa, and A. Tsuchiya, Nucl. Phys. B498, 467 (1997).
52. M. Fukuma, H. Kawai, Y. Kitazawa, and A. Tsuchiya, Nucl. Phys. B510, 158 (1998).
53. H. Aoki, S. Iso, H. Kawai, Y. Kitazawa, A. Tsuchiya, and T. Tada, Prog. Theor. Phys. Suppl. 134, 47 (1999).
54. T. Banks, W. Fischler, S.H. Shenker, and L. Susskind, Phys. Rev. D 55, 5112 (1997).
55. W. Krauth, J. Plefka, and M. Staudacher, Class. Quantum Grav. 17, 1171 (2000).
56. P. Austing and J.F. Wheater, J. High Energy Phys. 02, 028 (2001).
57. P. Austing and J.F. Wheater, J. High Energy Phys. 04, 019 (2001).
58. P. Austing, Ph.D. thesis, hep-th/0108128.
59. S. Sethi and M. Stern, Commun. Math. Phys. 194, 675 (1998).
60. P. Yi, Nucl. Phys. B505, 307 (1997).
61. A.V. Smilga, Nucl. Phys. B266, 45 (1986);
62. A.V. SmilgaYad. Fiz. 42, 728 (1986).
63. A.V. Smilga, Yad. Fiz. 43, 215 (1986).
64. M. Staudacher, Phys. Lett. B 488, 194 (2000).
65. W. Krauth, H. Nicolai, and M. Staudacher, Phys. Lett. B 431, 31 (1998).
66. W. Krauth and M. Staudacher, Phys. Lett. B 435, 350 (1998).
67. W. Krauth and M. Staudacher, Phys. Lett. B 453, 253 (1999).
68. W. Krauth and M. Staudacher, Nucl. Phys. B584, 641 (2000).
69. T. Suyama and A. Tsuchiya, Prog. Theor. Phys. 99, 321 (1998).
70. J. Ambjorn, K.N. Anagnostopoulos, W. Bietenholz, T. Hotta, and J. Nishimura, J. High Energy Phys. 07, 013 (2000).
71. J. Ambjorn, K.N. Anagnostopoulos, W. Bietenholz, T. Hotta, and J. Nishimura, J. High Energy Phys. 07, 011 (2000).
72. J. Ambjorn, K.N. Anagnostopoulos, W. Bietenholz, T. Hotta, and J. Nishimura, Nucl. Phys. B (Proc. Suppl.) 94, 685 (2001).
73. J. Ambjorn, K.N. Anagnostopoulos, W. Bietenholz, F. Hofheinz, and J. Nishimura, Phys. Rev. D 65, 086001 (2002).
74. P. Bialas, Z. Burda, B. Petersson, and J. Tabaczek, Nucl. Phys. B592, 391 (2001).
75. Z. Burda, B. Petersson, and J. Tabaczek, Nucl. Phys. B602, 399 (2001).
76. G.W. Moore, N. Nekrasov, and S. Shatashvili, Commun. Math. Phys. 209, 77 (2000).
77. H. Aoki, S. Iso, H. Kawai, Y. Kitazawa, and T. Tada, Prog. Theor. Phys. 99, 713 (1998).
78. J. Nishimura and G. Vernizzi, J. High Energy Phys. 04, 015 (2000);
79. J. NishimuraG. VernizziPhys. Rev. Lett. 85, 4664 (2000).
80. J. Nishimura and F. Sugino, J. High Energy Phys. 05, 001 (2002).
81. J. Nishimura, Phys. Rev. D 65, 105012 (2002).
82. H. Kawai, S. Kawamoto, T. Kuroki, T. Matsuo, and S. Shinohara, hep-th/0204240.
83. J. Nishimura, T. Okubo, and F. Sugino, hep-th/0205253.
84. T. Hotta, J. Nishimura, and A. Tsuchiya, Nucl. Phys. B545, 543 (1999).
85. J. Ambjorn, K.N. Anagnostopoulos, W. Bietenholz, F. Hofheinz, and J. Nishimura, Nucl. Phys. B (Proc. Suppl.) 106, 965 (2002).
86. J. Ambjorn, Nucl. Phys. B (Proc. Suppl.) 106, 62 (2002).
87. F. David, B. Duplantier, and E. Guitter, Nucl. Phys. B394, 555 (1993).
88. Y.V. Fyodorov, Nucl. Phys. B621, 643 (2002).
89. A.E. Ingham, Proc. Cambridge Philos. Soc. 29, 271 (1933).
90. C.L. Siegel, Ann. Math. 36, 527 (1935).
91. G.M. Cicuta, L. Molinari, and G. Vernizzi, J. Phys. A 35, L51 (2002).
92. I.G. Macdonald, Symmetric Functions and Hall Polynomials (Oxford University Press, New York, 1998).
93. C.P. Niculescu, J. Inequal. Pure Appl. Math. 1, 17 (2000).
94. S. Chaturvedi and V. Gupta, J. Phys. A 33, L251 (2000).