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https://hdl.handle.net/2440/64520
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Type: | Journal article |
Title: | Superbosonization formula and its application to random matrix theory |
Author: | Bunder, J. Efetov, K. Kravtsov, V. Yevtushenko, O. Zirnbauer, M. |
Citation: | Journal of Statistical Physics, 2007; 129(5-6):809-832 |
Publisher: | Kluwer Academic/plenum Publ |
Issue Date: | 2007 |
ISSN: | 0022-4715 1572-9613 |
Statement of Responsibility: | J. E. Bunder, K. B. Efetov, V. E. Kravtsov, O. M. Yevtushenko and M. R. Zirnbauer |
Abstract: | Starting from Gaussian random matrix models we derive a new supermatrix field theory model. In contrast to the conventional non-linear sigma models, the new model is applicable for any range of correlations of the elements of the random matrices. We clarify the domain of integration for the supermatrices, and give a demonstration of how the model works by calculating the density of states for an ensemble of almost diagonal matrices. It is also shown how one can reduce the supermatrix model to the conventional sigma model. |
Rights: | © Springer Science+Business Media, LLC 2007 |
DOI: | 10.1007/s10955-007-9405-y |
Published version: | http://dx.doi.org/10.1007/s10955-007-9405-y |
Appears in Collections: | Aurora harvest Mathematical Sciences publications |
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