A comparison of the superbosonization formula and the generalized Hubbard-Stratonovich transformation

被引：22
|
作者：
Kieburg, Mario [1 ]
Sommers, Hans-Juergen [1 ]
Guhr, Thomas [1 ]
机构：
[1] Univ Duisburg Essen, D-47048 Duisburg, Germany
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2009年 / 42卷 / 27期
关键词：
CHARACTERISTIC-POLYNOMIALS; MATRIX; UNIVERSALITY; RATIOS;
D O I：
10.1088/1751-8113/42/27/275206
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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.
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页数：23
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