Higher genus correlators for the hermitian matrix model with multiple cuts

Nuclear Physics B

Volumn 482, Issue 1-2, 1996, Pages 403-430

  Akemann, Gernot ^a,b  

^a UNIVERSITY OF COPENHAGEN   (Denmark)

^b LEIBNIZ UNIVERSITY HANNOVER   (Germany)

Author keywords

Hermitian matrix model; Higher genus correlators; Multi band structure; Universality classes

Indexed keywords

EID: 0030599617     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(96)00542-1     Document Type: Article

References (30)

1. [1] J. Verbaarschot and I. Zahed, Phys. Rev. Lett.73 (1994) 2288; J. Verbaarschot, Nucl. Phys. B 426 (1994) 559; J. Jurkiewicz, M.A. Nowak and I. Zahed, Dirac spectrum in QCD and quark masses, (March 1996), hep-ph/9603308.
2. [1] J. Verbaarschot and I. Zahed, Phys. Rev. Lett.73 (1994) 2288; J. Verbaarschot, Nucl. Phys. B 426 (1994) 559; J. Jurkiewicz, M.A. Nowak and I. Zahed, Dirac spectrum in QCD and quark masses, (March 1996), hep-ph/9603308.
3. [1] J. Verbaarschot and I. Zahed, Phys. Rev. Lett.73 (1994) 2288; J. Verbaarschot, Nucl. Phys. B 426 (1994) 559; J. Jurkiewicz, M.A. Nowak and I. Zahed, Dirac spectrum in QCD and quark masses, (March 1996), hep-ph/9603308.
4. [2] G. Cicuta, L. Molinari and E. Montaldi, J. Phys. A 20 (1987) L67.
5. [3] J. Ambjørn, L. Chekhov, C.F. Kristjansen and Yu. Makeenko, Nucl. Phys. B 404 (1993) 127.
6. [4] O. Lechtenfeld, Int. J. Mod. Phys A 7 (1992) 2335.
7. [5] J. Jurkiewicz, Phys. Lett. B 261 (1991) 260.
8. [6] M. Sasaki and H. Suzuki, Phys. Rev. D 43 (1991) 4015.
9. [7] D. Sénéchal, Int. J. Mod. Phys A 7 (1992) 1491.
10. [8] R.C. Brower, N. Deo, S. Jain and C. Tan, Nucl. Phys. B 405 (1993) 166.
11. [9] G. Akemann, Phasenübergänge in Matrixmodellen, PhD thesis, Universität Hannover (February 1996).
12. [10] K. Demeterfi, N. Deo, S. Jain and C. Tan, Phys. Rev. D 42 (1990) 4105.
13. [11] C. Nappi, Mod. Phys. Lett. A 5 (1990) 2773.
14. [12] Č. Crnković and G. Moore, Phys. Lett. B 257 (1991) 322; Č. Crnković, M. Douglas and G. Moore, Int. J. Mod. Phys A 7 (1992) 7693.
15. [12] Č. Crnković and G. Moore, Phys. Lett. B 257 (1991) 322; Č. Crnković, M. Douglas and G. Moore, Int. J. Mod. Phys A 7 (1992) 7693.
16. [13] T. Hollowood, L. Miramontes, A. Pasquinucci and C. Nappi, Nucl. Phys. B 373 (1992) 247.
17. [14] O. Lechtenfeld, R. Ray and A. Ray, Int. J. Mod. Phys A 6 (1991) 4491.
18. [15] F. David, Nucl. Phys. B 348 (1991) 507.
19. [16] J. Ambjørn, Quantization of geometry, Lectures given at Les Houches Summer School on Fluctuating Geometry and Statistical Mechanics, France, Les Houches, session LXII 1994.
20. [17] J. Jurkiewicz, Phys. Lett. B 245 (1990) 178.
21. [18] Y. Shimamune, Phys. Lett. B 108 (1982) 407; G. Cicuta, L. Molinari and E. Montaldi, Mod. Phys. Lett. A 1 (1986) 125.
22. [18] Y. Shimamune, Phys. Lett. B 108 (1982) 407; G. Cicuta, L. Molinari and E. Montaldi, Mod. Phys. Lett. A 1 (1986) 125.
23. [19] P.F. Byrd and M.D. Friedman, Handbook of Elliptic Integrals for Engineers and Scientists (Springer Verlag, New York, 1971).
24. [20] B. Eynard and C. Kristjansen, Nucl. Phys. B 455 (1995) 577; B 466 (1996) 463.
25. [20] B. Eynard and C. Kristjansen, Nucl. Phys. B 455 (1995) 577; B 466 (1996) 463.
26. [21] R. Dijkgraaf, H. Verlinde and E. Verlinde, Nucl. Phys. B 348 (1991) 435.
27. [22] J.C. Plefka, Nucl. Phys. B 444 (1995) 333; B 448 (1995) 355.
28. [22] J.C. Plefka, Nucl. Phys. B 444 (1995) 333; B 448 (1995) 355.
29. [23] J. Ambjørn, C.F. Kristjansen and Yu. Makeenko, Mod. Phys. Lett. A 7 (1992) 3187.
30. [24] G. Akemann, Loop equations for multi-cut matrix models, DESY preprint DESY 95-066, ITP-UH-11-95, hep-th/9503185 (March 1995).