Replica limit of the Toda lattice equation

Physical Review Letters

Volumn 90, Issue 4, 2003, Pages 416011-416014

  Splittorff, K ^a   Verbaarschot, J J M ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

FUNCTIONS; INTEGRAL EQUATIONS; MATRIX ALGEBRA; PROBABILITY; QUENCHING;

TODA LATTICE EQUATIONS;

QUANTUM THEORY;

EID: 0037473847     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (47)

1. S. F. Edwards and P. Anderson, J. Phys. F 5, 865 (1975).
2. D. Sherrington and S. Kirkpatrick, Phys. Rev. Lett. 35, 1792 (1975).
3. M. Mézard, G. Parisi, and M. A. Virasoro, Spin Glass Theory and Beyond (World Scientific, Singapore, 1987).
4. M. Stephanov, Phys. Rev. Lett. 76, 4472 (1996).
5. J. J. M. Verbaarschot and M. R. Zirnbauer, J. Phys. A 18, 1093 (1985).
6. A. Kamenev and M. Mézard, J. Phys. A 32, 4373 (1999); Phys. Rev. B 60, 3944 (1999).
7. A. Kamenev and M. Mézard, J. Phys. A 32, 4373 (1999); Phys. Rev. B 60, 3944 (1999).
8. I. Yurkevich and I. Lerner, Phys. Rev. B 60, 3955 (1999).
9. M. R. Zirnbauer, cond-mat/9903338.
10. E. Kanzieper, Nucl. Phys. B596, 548 (2001).
11. P. H. Damgaard and K. Splittorff, Nucl. Phys. B572, 478 (2000); Phys. Rev. D 62, 054509 (2000); P. H. Damgaard, Phys. Lett. B 476, 465 (2000).
12. P. H. Damgaard and K. Splittorff, Nucl. Phys. B572, 478 (2000); Phys. Rev. D 62, 054509 (2000); P. H. Damgaard, Phys. Lett. B 476, 465 (2000).
13. P. H. Damgaard and K. Splittorff, Nucl. Phys. B572, 478 (2000); Phys. Rev. D 62, 054509 (2000); P. H. Damgaard, Phys. Lett. B 476, 465 (2000).
14. D. Dalmazi and J. J. M. Verbaarschot, Nucl. Phys. B592, 419 (2001).
15. G. Akemann et al., Nucl. Phys. B601, 77 (2001).
16. S. M. Nishigaki and A. Kamenev, J. Phys. A 35, 4571 (2002).
17. E. Kanzieper, Phys. Rev. Lett. 89, 250201 (2002).
18. Y. V. Fyodorov, Nucl. Phys. B621, 643 (2002).
19. E. Brézin, Lect. Notes Phys. 216, 113 (1980).
20. K. B. Efetov, Adv. Phys. 32, 53 (1983).
21. J. J. M. Verbaarschot, H. A. Weidenmüller, and M. R. Zirnbauer, Phys. Rep. 129, 367 (1985).
22. A. Altland and A. Kamenev, Phys. Rev. Lett. 85, 5615 (2000).
23. S. F. Edwards and R. C. Jones, J. Phys. A 9, 1595 (1976).
24. J. J. M. Verbaarschot and M. R. Zirnbauer, Ann. Phys. (N.Y.) 158, 78 (1984).
25. E. V. Shuryak and J. J. M. Verbaarschot, Nucl. Phys. A560, 306 (1993); J. J. M. Verbaarschot, Phys. Rev. Lett. 72, 2531 (1994).
26. E. V. Shuryak and J. J. M. Verbaarschot, Nucl. Phys. A560, 306 (1993); J. J. M. Verbaarschot, Phys. Rev. Lett. 72, 2531 (1994).
27. J. C. Osborn et al., Nucl. Phys. B540, 317 (1999).
28. P. H. Damgaard et al., Nucl. Phys. B547, 305 (1999).
29. J. J. M. Verbaarschot, Phys. Lett. B 368, 137 (1996).
30. P. J. Forrester, Nucl. Phys. B402, 709 (1993).
31. J. Verbaarschot and I. Zahed, Phys. Rev. Lett. 70, 3852 (1993); J. Verbaarschot, Nucl. Phys. B427, 534 (1994).
32. J. Verbaarschot and I. Zahed, Phys. Rev. Lett. 70, 3852 (1993); J. Verbaarschot, Nucl. Phys. B427, 534 (1994).
33. G. Akemann et al., Nucl. Phys. B487[FS], 721 (1997).
34. S. Kharchev et al., Nucl. Phys. B380, 181 (1992).
35. H. Leutwyler and A. Smilga, Phys. Rev. D 46, 5607 (1992).
36. R. C. Brower, P. Rossi and C-I. Tan, Nucl. Phys. B 190, 699 (1981); R. C. Brower and M. Nauenberg, Nucl. Phys. B 180, 221 (1981).
37. R. C. Brower, P. Rossi and C-I. Tan, Nucl. Phys. B 190, 699 (1981); R. C. Brower and M. Nauenberg, Nucl. Phys. B 180, 221 (1981).
38. A. D. Jackson et al., Phys. Lett. B 387, 355 (1996).
39. T. Guhr and T. Wettig, Nucl. Phys. B506, 589 (1997).
40. A. B. Balantekin, Phys. Rev. D 62, 085017 (2000).
41. K. Okamoto, Funk. Ekv. Ser. Int. 30, 305, (1987).
42. P. J. Forrester and N. S. Witte, math-ph/0201051.
43. G. Akemann and P. H. Damgaard, Nucl. Phys. B576, 597 (2000).
44. Y. V. Fyodorov and E. Strahov, math-ph/0204051.
45. Y. V. Fyodorov and E. Strahov, hep-th/0205215.
46. B. Seif et al., Nucl. Phys. B548, 475 (1999).
47. Y. V. Fyodorov and G. Akemann, cond-mat/0210647.