Large-N expansion for the 2D Dyson gas

Journal of Physics A: Mathematical and General

Volumn 39, Issue 28, 2006, Pages 8933-8963

  Zabrodin, A ^a,b   Wiegmann, P ^c,d  

^a EMANUEL INSTITUTE OF BIOCHEMICAL PHYSICS   (Russian Federation)

^b INSTITUTE FOR THEORETICAL AND EXPERIMENTAL PHYSICS   (Russian Federation)

^c UNIVERSITY OF CHICAGO   (United States)

^d LANDAU INSTITUTE FOR THEORETICAL PHYSICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33745550488     PISSN: 03054470     EISSN: 13616447     Source Type: Journal    
DOI: 10.1088/0305-4470/39/28/S10     Document Type: Article

References (61)

1. Dyson F 1962 Statistical theory of the energy levels of complex systems: I, II and III. J. Math. Phys. 3 140
2. Dyson F 1962 Statistical theory of the energy levels of complex systems: I, II and III. J. Math. Phys. 3 157
3. Dyson F 1962 Statistical theory of the energy levels of complex systems: I, II and III. J. Math. Phys. 3 166
4. Alastuey A and Jancovici B 1981 J. Physique 42 1
5. Alastuey A and Jancovici B 1984 J. Stat. Phys. 34 557
6. Jancovici B 1995 J. Stat. Phys. 80 445
7. Forrester P J 1998 Phys. Rep. 301 235-70
8. Choquard P and Clerouin J 1983 Phys. Rev. Lett. 50 2086
9. Kogan I, Perelomov A and Semenoff G 1992 Phys. Rev. B 45 12084-7
10. Di Francesko P, Gaudin M, Itzykson C and Lesage F 1994 Int. J. Mod. Phys. A 9 4257-351
11. Feigelman M and Skvortsov M 1997 Nucl. Phys. B 506 665 (Preprint cond-mat/9703215)
12. Hastings M 2001 J. Stat. Phys. 103 903 (Preprint cond-mat/9909234)
13. Kostov I, Krichever I, Mineev-Weinstein M, Wiegmann P and Zabrodin A τ-function for analytic curves Random Matrices and Their Applications (MSRI Publications vol 40) ed P Bleher and A Its (Cambridge: Cambridge University Press) pp 285-99 (Preprint hep-th/0005259)
14. Agam O, Bettelheim E, Wiegmann P and Zabrodin A 2002 Phys. Rev. Lett. 88 236801 (Preprint cond-mat/0111333)
15. Wiegmann P 2002 Statistical Field Theories ed A Cappelli and G Mussardo (Dordrecht: Kluwer) pp 337-49 (Preprint cond-mat/0204254)
16. Zabrodin A 2003 Ann. Henri Poincare 4 S851-61 (Preprint cond-mat/0210331)
17. Teodorescu R, Bettelheim E, Agam O, Zabrodin A and Wiegmann P 2005 Nucl. Phys. B 704 407-44 (Preprint hep-th/0401165)
18. Teodorescu R, Bettelheim E, Agam O, Zabrodin A and Wiegmann P 2004 Nucl. Phys. B 700 521-32 (Preprint hep-th/0407017)
19. Mehta M L 1991 Random Matrices 2nd edn (New York: Academic)
20. Chau L-L and Yu Y 1992 Phys. Lett. 167A 452
21. Chau L-L and Zaboronsky O 1998 Commun. Math. Phys. 196 203-47 (Preprint hep-th/9711091)
22. Ginibre J 1965 J. Math. Phys. 6 440
23. Girko V 1985 Theor. Prob. Appl. 29 694
24. Ambjorn J, Chekhov L, Kristjansen C F and Makeenko Yu 1993 Nucl. Phys. B 404 127-72
25. Ambjorn J, Chekhov L, Kristjansen C F and Makeenko Yu 1995 Nucl. Phys. B 449 681 (Preprint hep-th/9302014) (erratum)
26. Chekhov L 2004 Theor. Math. Phys. 141 1640-53
27. Chekhov L 2004 Teor. Mat. Fiz. 141 358-74 (Preprint hep-th/0401089)
28. Eynard B 2004 J. High Energy Phys. JHEP11(2004)031 (Preprint hep-th/0407261)
29. Chekhov L and Eynard B 2005 Hermitean matrix model free energy: Feynman graph technique for all genera Preprint hep-th/0504116
30. Chekhov L, Marshakov A, Mironov A and Vasiliev D 2005 Complex geometry of matrix models Preprint hep-th/0506075
31. Vasiliev D 2005 Determinant formulae for matrix model free energy Preprint hep-th/0506155
32. Eynard B 2003 Large N expansion of the 2-matrix model J. High Energy Phys. JHEP01(2003)051 (Preprint hep-th/0210047)
33. Eynard B 2003 Large N expansion of the 2-matrix model, multicut case Preprint math-ph/0307052
34. Eynard B, Kokotov A and Korotkin D 2004 Nucl. Phys. B 694 443-72 (Preprint hep-th/0403072)
35. Wiegmann P and Zabrodin A 2003 Large N expansion for normal and complex matrix ensembles Proc. of the Les Houches Spring School (March) (Preprint hep-th/0309253)
36. Kostov I 1999 Conformal field theory techniques in random matrix models Preprint hep-th/9907060
37. Wiegmann P and Zabrodin A 2003 J. Phys. A: Math. Gen. 36 3411-24 (Preprint hep-th/0210159)
38. Zabrodin A 2004 Matrix models and growth processes: from viscous flows to the quantum Hall effect Lectures Given at the School 'Applications of Random Matrices in Physics' (Les Houches, June) (Preprint hep-th/0412219)
39. Jevicki A and Sakita B 1980 Nucl. Phys. B 165 511
40. Jevicki A and Sakita B 1981 Nucl. Phys. B 185 89
41. Jevicki A 1990 Collective field theory and Schwinger-Dyson equations in matrix models Proc. of the Meeting 'Symmetries, Quarks and Strings' (City College, New York, Oct. 1-2) (Preprint Brown-HET-777)
42. Lechtenfeld O 1991 Semiclassical approach to finite-N matrix models Preprint hep-th/9112045
43. Ben-Menahem S 1992 D ≤ 0 matrix model as conjugate field theory Preprint SLAC-PUB-5377 February
44. Hassel A and Zelditch S 1999 Int. Math. Res. Not. 1999 (18) 971-1004 (Preprint math.AP/0002023)
45. Polyakov A 1981 Phys. Lett. B 103 207-10
46. Alvarez O 1983 Nucl. Phys. B 216 125-84
47. Di Vecchia P, Durhuus B, Olesen P and Petersen J 1982 Nucl. Phys. B 207 77
48. Ambjorn J, Durhuus B, Frölich J and Orland P 1986 Nucl. Phys. B 270 457
49. Mineev-Weinstein M, Wiegmann P and Zabrodin A 2000 Phys. Rev. Lett. 84 5106-9 (Preprint nlin.SI/0001007)
50. Wiegmann P and Zabrodin A 2000 Commun. Math. Phys. 213 523-38 (Preprint hep-th/9909147)
51. Marshakov A, Wiegmann P and Zabrodin A 2002 Commun. Math. Phys. 227 131-53 (Preprint hep-th/0109048)
52. Zabrodin A 2001 Theor. Math. Phys. 129 1511-25
53. Zabrodin A 2001 Teor. Mat. Fiz. 129 239-57 (Preprint math.CV/0104169)
54. Bertola M 2003 Nucl. Phys. B 669 435-61 (Preprint hep-th/0306184)
55. Elbau P and Felder G 2004 Density of eigenvalues of random normal matrices Preprint math.QA/0406604
56. Hedenmalm H and Makarov N 2004 Quantum Hele-Shaw flow Preprint math.PR/0411437
57. Aharonov D and Shapiro H S 1976 J. Anal. Math. 30 39-73
58. Sakai M 1982 Lecture Notes in Mathematics vol 934 (Berlin: Springer)
59. Boyarsky A, Marshakov A, Ruchayskiy O, Wiegmann P and Zabrodin A 2001 Phys. Lett. B 515 483-92 (Preprint hep-th/0105260)
60. Dubrovin B and Zhang Y 1998 Commun. Math. Phys. 198 311-61 (Preprint hep-th/9712232)
61. Osgood B, Phillips R and Sarnak P 1988 J. Funct. Anal. 80 148-211