The large-N limit of matrix integrals over the orthogonal group

Journal of Physics A: Mathematical and Theoretical

Volumn 41, Issue 38, 2008, Pages

  Zuber, Jean Bernard ^a  

^a LPTHE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 54749104299     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/41/38/382001     Document Type: Article

References (26)

1. Kazakov V A 1986 Phys. Lett. A 119 140-4
2. Marinari M, Parisi G and Ritort F 1994 J. Phys. A: Math. Gen. 27 7647-68
3. Guhr T, Müller-Groeling A and Weidenmller H A 1998 Phys. Rep. 299 189-428 (Preprint cond-mat/9707301)
4. Di Francesco P, Ginsparg P and Zinn-Justin J 1995 Phys. Rep. 254 1-133 (Preprint hep-th/9306153)
5. Guhr T and Kohler H 2002 J. Math. Phys. 43 2707 (Preprint math-ph/0011007)
6. Harish-Chandra 1957 Am. J. Math. 79 87-120
7. Itzykson C and Zuber J-B 1980 J. Math. Phys. 21 411-21 (erratum on http://www.lpthe.jussieu.fr/∼zuber)
8. Brézin and Hikami S 2003 Commun. Math. Phys. 235 125-37 (Preprint math-ph/0208002)
9. Brézin and Hikami S 2006 WKB-expansion of the Harish-Chandra- Itzykson-Zuber integral for arbitrary beta Preprint math-ph/0604041
10. Bergère M and Eynard B 2008 Some properties of angular integrals Preprint 0805.4482
11. Weingarten D 1978 J. Math. Phys. 19 999-1001
12. Brézin and Gross D 1980 Phys. Lett. B 97 120-4
13. O' Brien K and Zuber J-B 1984 Phys. Lett. B 144 407-8
14. Zinn-Justin P and Zuber J-B 2003 J. Phys. A: Math. Gen. 36 3173-93 (Preprint math-ph/0209019)
15. Brézin, Itzykson C, Parisi G and Zuber J-B 1978 Commun. Math. Phys. 59 35-51
16. Speicher R 1994 Math. Ann. 298 611-28
17. Prats-Ferrer A, Eynard B, Di Francesco P and Zuber J-B 2007 J. Stat. Phys. 129 885-935 (Preprint math-ph/0610049) (erratum on http://www.lpthe. jussieu.fr/∼zuber)
18. Collins B PhD 2003 Int. Math. Res. Not. 17 953-82 (Preprint math-ph/0205010)
19. Brézin and Neuberger H 1991 Nucl. Phys. B 350 513-53
20. Collins B and Śniady P 2006 Commun. Math. Phys. 264 773-95 (Preprint math-ph/0402073)
21. Collins C and Śniady P 2005 New scaling of Itzykson-Zuber integrals Preprint math/0505664
22. Gallucio S, Bouchaud J-P and Potters M 1998 Preprint cond-mat/9801209
23. Cherrier R, Dean D S and Lefèvre A 2003 Phys. Rev. E 67 046112 (Preprint cond-mat/0211695)
24. Guionnet A and Zeitouni O 2002 J. Funct. Anal. 188 461-515
25. Matytsin A 1994 Nucl. Phys. B 411 805-20 (Preprint hep-th/9306077)
26. Collins B, Guionnet A and Maurel-Segala E 2002 Asymptotics of unitary matrix integrals, May 2008 preprint