The supersymmetry method of random matrix theory

Details The supersymmetry method of random matrix theory The supersymmetry method of random matrix theory

2004-04-25

arxiv.org/abs/math-ph/0404057v1

Physics

Mathematical Physics

Short review article (max. 4000 words) solicited by the editors of the Encyclopedia of Mathematical Physics (Elsevier, 2005)

Scientific paper

The supersymmetry method pioneered by Wegner and Efetov (1979-1983) is
reviewed for the case of Hermitian band random matrices, with special attention
given to the original method of Schaefer and Wegner and a recent variant due to
Fyodorov. Particular emphasis is placed on correctness of the mathematical
reasoning.

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