The supersymmetry method of random matrix theory
Mathematical Physics
2007-05-23 v1 math.MP
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.
Cite
@article{arxiv.math-ph/0404057,
title = {The supersymmetry method of random matrix theory},
author = {Martin R. Zirnbauer},
journal= {arXiv preprint arXiv:math-ph/0404057},
year = {2007}
}
Comments
Short review article (max. 4000 words) solicited by the editors of the Encyclopedia of Mathematical Physics (Elsevier, 2005)