Comparison of the superbosonization formula and the generalized Hubbard-Stratonovich transformation
Mathematical Physics
2009-06-17 v2 math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.0905.3256,
title = {Comparison of the superbosonization formula and the generalized Hubbard-Stratonovich transformation},
author = {Mario Kieburg and Hans-Jürgen Sommers and Thomas Guhr},
journal= {arXiv preprint arXiv:0905.3256},
year = {2009}
}
Comments
27 pages, 1 figure