Characteristic polynomials of complex random matrix models

Nuclear Physics B

Volumn 660, Issue 3, 2003, Pages 532-556

  Akemann, G ^a   Vernizzi, G ^a  

^a CEA SACLAY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038814298     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(03)00221-9     Document Type: Article

References (57)

1. Andreev A.V. Simons B.D. Phys. Rev. Lett. 75 1995 2304
2. Shuryak E.V. Verbaarschot J.J.M. Nucl. Phys. A 560 1993 306 hep-th/9212088
3. Verbaarschot J. Phys. Rev. Lett. 72 1994 2531 hep-th/9401059
4. Keating J.P. Snaith N. Commun. Math. Phys. 214 2000 57
5. Guhr T. Müller-Groeling A. Weidenmüller H.A. Phys. Rep. 299 1998 190 cond-mat/9707301
6. Fyodorov Y.V. Nucl. Phys. B 621 2002 643 math-ph/0106006
7. Fyodorov Y.V. Strahov E. Nucl. Phys. B 630 2002 453 math-ph/0201045
8. Kanzieper E. Phys. Rev. Lett. 89 2002 250201 cond-mat/0207745
9. Splittorff K. Verbaarschot J.J.M. Phys. Rev. Lett. 90 2003 041601 cond-mat/0209594
10. Fyodorov Y.V. Strahov E. Nucl. Phys. B 647 2002 581 hep-th/0205215
11. Fyodorov Y.V. Akemann G. Comment on the article "Replica limit of the Toda lattice equation" by K. Splittorff, J.J.M. Verbaarschot cond-mat/0210647
12. Fyodorov Y.V. Strahov E. An exact formula for general spectral correlation function of random Hermitian matrices math-ph/0204051
13. Strahov E. Fyodorov Y.V. Universal results for correlations of characteristic polynomials: Riemann-Hilbert approach math-ph/0210010
14. Mehta M.L. Normand J.-M. J. Phys. A: Math. Gen. 34 2001 1 cond-mat/0101469
15. Forrester P.J. Witte N.S. Commun. Math. Phys. 219 2001 357 math-ph/0103025
16. Damgaard P.H. Phys. Lett. B 424 1998 322 hep-th/9711110
17. Akemann G. Damgaard P.H. Nucl. Phys. B 528 1998 411 hep-th/9801133
18. Akemann G. Damgaard P.H. Phys. Lett. B 432 1998 390 hep-th/9802174
19. Damgaard P.H. Nishigaki S.M. Phys. Rev. D 57 1998 5299 5302 hep-th/9711096
20. Wilke T. Guhr T. Wettig T. Phys. Rev. D 57 1998 6486 hep-th/9711057
21. Damgaard P.H. Proceedings of "Quantum Chromodynamics 98", Paris 1998 296 303 hep-th/9807026
22. Nagao T. Nishigaki S.M. Phys. Rev. D 62 2000 065006 hep-th/0001137
23. Akemann G. Kanzieper E. Phys. Rev. Lett. 85 2000 1174 hep-th/0001188
24. Nagao T. Nishigaki S.M. Phys. Rev. D 63 2001 045011 hep-th/0005077
25. Brézin E. Hikami S. Commun. Math. Phys. 214 2000 111 math-ph/9910005
26. Brézin E. Hikami S. Commun. Math. Phys. 223 2001 363 math-ph/0103012
27. Ginibre J. J. Math. Phys. 6 1965 440
28. Forrester P.J. Phys. Rep. 301 1998 325
29. Agam O. Bettelheim E. Wiegmann P. Zabrodin A. Phys. Rev. Lett. 88 2002 236802 cond-mat/0111333
30. Wiegmann P. Zabrodin A. Large scale correlations in normal and general non-Hermitian matrix ensembles hep-th/0210159
31. Zabrodin A. New applications of non-Hermitian random matrices cond-mat/0210331
32. Kristjansen C. Plefka J. Semenoff G.W. Staudacher M. Nucl. Phys. B 643 2002 3 hep-th/0205033
33. Constable N.R. Freedman D.Z. Headrick M. Minwalla S. Motl L. Postnikov A. Skiba W. JHEP 0207 2002 017 hep-th/0205089
34. Berenstein D. Maldacena J. Nastase H. JHEP 0204 2002 013 hep-th/0202021
35. Eynard B. Kristjansen C. JHEP 0210 2002 027 hep-th/0209244
36. de Mello Koch R. Jevicki A. Rodrigues J.P. Collective string field theory of matrix models in the BMN limit hep-th/0209155
37. Stephanov M.A. Phys. Rev. Lett. 76 1996 4472 hep-th/9604003
38. Akemann G. Phys. Rev. Lett. 89 2002 072002 hep-th/0204068
39. Akemann G. The solution of a chiral random matrix model with complex eigenvalues J. Phys. A, special issue, in press hep-th/0204246
40. Akemann G. Wettig T. Matrix model correlation functions and lattice data for the QCD Dirac operator with chemical potential hep-lat/0301017
41. Akemann G. Phys. Rev. D 64 2001 114021 hep-th/0106053
42. Akemann G. Phys. Lett. B 547 2002 100 hep-th/0206086
43. Stahl H. Totik V. General Orthogonal Polynomials 1992 Cambridge Univ. Press London
44. Mehta M.L. Random Matrices 2nd Edition 1991 Academic Press London
45. Szegö G. Orthogonal Polynomials in: American Mathematical Society, Colloquium Publications 23 1975 American Mathematical Society, Providence
46. Abild-Pedersen F. Vernizzi G. On the microscopic spectra of the massive Dirac operator for chiral orthogonal and chiral symplectic ensembles hep-th/0104028
47. Zinn-Justin P. Commun. Math. Phys. 194 1998 631 cond-mat/9705044
48. Akemann G. Damgaard P.H. Nucl. Phys. B 576 2000 597 hep-th/9910190
49. Braden H.W. Mironov A. Morozov A. Phys. Lett. B 514 2001 293 hep-th/0105169
50. Forrester P.J. Nagao T. J. Phys. A 34 2001 7917
51. Fyodorov Y.V. Khoruzhenko B.A. Sommers H.-J. Phys. Lett. A 226 1997 46 cond-mat/9606173
52. Fyodorov Y.V. Khoruzhenko B.A. Sommers H.-J. Phys. Rev. Lett. 79 1997 557 cond-mat/9703152
53. Di Francesco P. Gaudin M. Itzykson C. Lesage F. Int. J. Mod. Phys. A 9 1994 4257 hep-th/9401163
54. Forrester P.J. Witte N.S. math-ph/0201051
55. Forrester P.J. Witte N.S. math-ph/0204008
56. Ambjørn J. Jurkiewicz J. Makeenko Y. Phys. Lett. B 251 1990 517
57. Ambjørn J. Chekhov L. Kristjansen C.F. Makeenko Yu. Nucl. Phys. B 404 1993 127 hep-th/9302014