A new approach to derive Pfaffian structures for random matrix ensembles

Journal of Physics A: Mathematical and Theoretical

Volumn 43, Issue 13, 2010, Pages

  Kieburg, Mario ^a   Guhr, Thomas ^a  

^a UNIVERSITY OF DUISBURG ESSEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77949525905     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/43/13/135204     Document Type: Article

References (47)

1. Efetov K B 1997 Supersymmetry in Disorder and Chaos 1st edn (Cambridge: Cambridge University Press)
2. Guhr T, Müller-Groeling A and Weidenmüller H A 1998 Phys. Rep. 299 189
3. Verbaarschot J J M and Wettig T 2000 Ann. Rev. Nucl. Part. Sci. 50 343
4. Keating J P and Snaith N C 2000 Commun. Math. Phys. 214 57
5. Mehta M L 2004 Random Matrices 3rd edn (New York: Academic)
6. Akemann G 2002 Phys. Rev. Lett. 89 072002
7. Osborn J 2004 Phys. Rev. Lett. 93 222001
8. Akemann G 2005 Nucl. Phys. B 730 253
9. Akemann G, Phillips M J and Sommers H-J 2009 J. Phys. A: Math. Theor. 42 012001
10. Edelmann A 1997 J. Multivariate Anal. 60 203
11. Akemann G 2001 Phys. Rev. D 64 114021
12. Bergère M C 2004 arXiv:0404126v1 [hep-th]
13. Akemann G and Vernizzi G 2003 Nucl. Phys. B 660 532
14. Akemann G and Basile F 2007 Nucl. Phys. B 766 150
15. Akemann G and Kanzieper E 2007 J. Stat. Phys. 129 1159
16. Forrester P J and Nagao T 2007 Phys. Rev. Lett. 99 050603
17. Zirnbauer M R 2006 The Supersymmetry Method of Random Matrix Theory, Encyclopedia of Mathematical Physics vol 5 ed J-P Franoise, G L Naber and S T Tsou (Oxford: Elsevier) p 151
18. Borodin A and Strahov E 2005 Commun. Pure Appl. Math. 59 161
19. Verbaarschot J J M and Zirnbauer M R 1985 J. Phys. A: Math. Gen. 17 1093
20. Bloch J and Wettig T 2009 J. High Energy Phys. JHEP03(2009)100
21. Nagao T and Forrester P J 1993 J. Math. Phys. 34 2317
22. Kanzieper E 2002 J. Phys. A: Math. Gen. 35 6631
23. Forrester P J and Mays A 2009 J. Stat. Phys. 134 443
24. Grönqvist J, Guhr T and Kohler H 2004 J. Phys. A: Math. Gen. 37 2331
25. Sommers H-J and Wieczorek W 2008 J. Phys. A: Math. Theor. 41 405003
26. Kieburg M and Guhr T 2010 J. Phys. A: Math. Theor. 43 075201
27. Basor E L and Forrester P J 1994 Math. Nach. 170 5
28. Efetov K B 1983 Adv. Phys. 32 53
29. Wegner F 1983 unpublished notes
30. Kieburg M, Kohler H and Guhr T 2009 J. Math. Phys. 50 013528
31. de Bruijn N G 1955 J. Indian Math. Soc. 19 133
32. Mehta M L and Mahoux G 1991 Indian J. Pure Appl. Math. 22 531
33. Seif B, Wettig T and Guhr T 1999 Nucl. Phys. B 548 475
34. Lehmann N and Sommers H-J 1991 Phys. Rev. Lett. 67 941
35. Kieburg M, Grönqvist J and Guhr T 2009 J. Phys. A: Math. Theor. 42 275205
36. Mehta M L 1967 Random Matrices and the Statistical Theory of Energy Levels 1st edn (New York: Academic)
37. Forrester P J 1993 Nucl. Phys. B 402 709
38. Verbaarschot J J M 1994 Phys. Rev. Lett. 72 2531
39. Nagao T and Forrester P J 1995 Nucl. Phys. B 435 401
40. Sommers H-J 2007 Acta Phys. Pol. B 38 1001
41. Borodin A and Sinclair C D 2008 arXiv:0706.2670v2 [math-ph]
42. Borodin A and Sinclair C D 2008 arXiv:0805.2986v1 [math-ph]
43. Forrester P J and Nagao T 2008 J. Phys. A: Math. Theor. 41 375003
44. Akemann G, Phillips M J and Sommers H-J 2009 arXiv:0911.1276v1 [hep-th]
45. Haake F 2001 Quantum Signatures of Chaos 2nd edn (Berlin: Springer)
46. Verbaarschot J J M, Weidenmüller H A and Zirnbauer M R 1985 Phys. Rep. 129 367
47. Kieburg M, Sommers H-J and Guhr T 2009 J. Phys. A: Math. Theor. 42 275206