| Автор | José Gaite |
| Дата выпуска | 2004-10-29 |
| dc.description | The exact or Wilson renormalization group equations can be formulated as a functional Fokker–Planck equation in the infinite-dimensional configuration space of a field theory, suggesting a stochastic process in the space of couplings. Indeed, the ordinary renormalization group differential equations can be supplemented with noise, making them stochastic Langevin equations. Furthermore, if the renormalization group is a gradient flow, the space of couplings can be endowed with a supersymmetric structure a la Parisi–Sourlas. The formulation of the renormalization group as supersymmetric quantum mechanics is useful for analysing the topology of the space of couplings by means of Morse theory. We present simple examples with one or two couplings. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Копирайт | 2004 IOP Publishing Ltd |
| Название | Stochastic formulation of the renormalization group: supersymmetric structure and topology of the space of couplings |
| Тип | paper |
| DOI | 10.1088/0305-4470/37/43/027 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 37 |
| Первая страница | 10409 |
| Последняя страница | 10419 |
| Аффилиация | José Gaite; Instituto de Matemáticas y Física Fundamental, CSIC, Serrano 123, 28006 Madrid, Spain |
| Выпуск | 43 |
