Supersymmetry Methods in Random Matrix Theory

Encyclopedia of Mathematical Physics: Five-Volume Set

Volumn , Issue , 2004, Pages 151-160

  Zirnbauer, M R ^a  

^a UNIVERSITY OF COLOGNE   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

RANDOM MATRICES THEORY; SUPERSYMMETRIES;

RANDOM VARIABLES;

EID: 85070004768     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1016/B0-12-512666-2/00068-7     Document Type: Chapter

References (8)

1. Berezin FA Introduction to Superanalysis 1987, Reidel, Dordrecht.
2. Disertori M, Pinson H, Spencer T Density of states of random band matrices. Communication in Mathematical Physics 2002, 232:83-124.
3. Efetov KB Supersymmetry in Disorder and Chaos 1997, Cambridge University Press, Cambridge.
4. Fyodorov YV Negative moments of characteristic polynomials of random matrices: Ingham-Siegel integral as an alternative to Hubbard-Stratonovich transformation. Nuclear Physics B 2002, 621:643-674.
5. Mirlin AD Statistics of energy levels and eigen functions in disordered systems. Physics Reports 2000, 326:260-382.
6. Schäfer L, Wegner F Disordered system with n orbitals per site: Lagrange formulation, hyperbolic symmetry, and Goldstone modes. Zeitschrift für Physik B 1980, 38:113-126.
7. Wegner F The mobility edge problem: continuous symmetry and a conjecture. Zeitschrift für Physics B 1979, 35:207-210.
8. Zirnbauer MR Riemannian symmetric superspaces and their origin in random matrix theory. Journal of Mathematical Physics 1996, 37:4986-5018.