Physics – Mathematical Physics
Scientific paper
2009-05-20
J. Phys. A: Math. Theor. 42, 275206, (2009)
Physics
Mathematical Physics
27 pages, 1 figure
Scientific paper
10.1088/1751-8113/42/27/275206
Recently, two different approaches were put forward to extend the supersymmetry method in random matrix theory from Gaussian ensembles to general rotation invariant ensembles. These approaches are the generalized Hubbard-Stratonovich transformation and the superbosonization formula. Here, we prove the equivalence of both approaches. To this end, we reduce integrals over functions of supersymmetric Wishart-matrices to integrals over quadratic supermatrices of certain symmetries.
Guhr Thomas
Kieburg Mario
Sommers Hans--J{ü}rgen
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