| Автор | Martin R Zirnbauer |
| Дата выпуска | 1996-11-21 |
| dc.description | A generalized Hubbard - Stratonovitch transformation relating an integral over random unitary matrices to an integral over Efetov's unitary -model manifold, is introduced. This transformation adapts the supersymmetry method to disordered and chaotic systems that are modelled not by a Hamiltonian but by their scattering matrix or time-evolution operator. In contrast to the standard method, no saddle-point approximation is made, and no massive modes have to be eliminated. This first paper on the subject applies the generalized Hubbard - Stratonovitch transformation to Dyson's circular unitary ensemble. It is shown how a supersymmetric variant of the Harish-Chandra - Itzykson - Zuber formula can be used to compute, in the large-N limit, the n-level correlation function for any n. Non-trivial applications to random network models, quantum chaotic maps, and lattice gauge theory, are expected. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Supersymmetry for systems with unitary disorder: circular ensembles |
| Тип | paper |
| DOI | 10.1088/0305-4470/29/22/013 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 29 |
| Первая страница | 7113 |
| Последняя страница | 7136 |
| Аффилиация | Martin R Zirnbauer; Institute for Theoretical Physics, UCSB, Santa Barbara, USA |
| Выпуск | 22 |
