The supersymmetry method of random matrix theory

Abstract

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.

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

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