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The supersymmetry method of random matrix theory

Martin R. Zirnbauer

math-pharXiv:math-ph/0404057

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.

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