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Superbosonization Formula and its Application to Random Matrix Theory |
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| Authors: | J E Bunder K B Efetov V E Kravtsov O M Yevtushenko M R Zirnbauer |
| Institution: | 1. Physics Division, National Center for Theoretical Sciences, Hsinchu, 300, Taiwan 2. Theoretische Physik III, Ruhr-Universit?t Bochum, 44780, Bochum, Germany 3. L.D. Landau Institute for Theoretical Physics, 117940, Moscow, Russia 4. The Abdus Salam ICTP, Strada Costiera 11, 34100, Trieste, Italy 5. Institut für Theoretische Physik, Universit?t zu K?ln, 50937, K?ln, Germany |
| 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. |
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