Arbitrary rotation invariant random matrix ensembles and supersymmetry: orthogonal and unitary-symplectic case
Mathematical Physics
2009-06-17 v2 math.MP
Abstract
Recently, the supersymmetry method was extended from Gaussian ensembles to arbitrary unitarily invariant matrix ensembles by generalizing the Hubbard-Stratonovich transformation. Here, we complete this extension by including arbitrary orthogonally and unitary-symplectically invariant matrix ensembles. The results are equivalent to, but the approach is different from the superbosonization formula. We express our results in a unifying way. We also give explicit expressions for all one-point functions and discuss features of the higher order correlations.
Keywords
Cite
@article{arxiv.0905.3253,
title = {Arbitrary rotation invariant random matrix ensembles and supersymmetry: orthogonal and unitary-symplectic case},
author = {Mario Kieburg and Johan Grönqvist and Thomas Guhr},
journal= {arXiv preprint arXiv:0905.3253},
year = {2009}
}
Comments
37 pages