| Автор | Felix M Lev |
| Дата выпуска | 1999-02-19 |
| dc.description | The structure of representations describing systems of free particles in the theory with the invariance group is investigated. The property of the particles to be free means as usual that the representation describing a many-particle system is the tensor product of the corresponding single-particle representations (i.e. no interaction is introduced). It is shown that the mass operator contains only continuous spectrum in the interval and such representations are unitarily equivalent to ones describing interactions (gravitational, electromagnetic etc). This means that there are no bound states in the theory and the Hilbert space of the many-particle system contains a subspace of states with the following property: the action of free representation operators on these states is manifested in the form of different interactions. Possible consequences of the results are discussed. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | The problem of interactions in de Sitter invariant theories |
| Тип | paper |
| DOI | 10.1088/0305-4470/32/7/012 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 32 |
| Первая страница | 1225 |
| Последняя страница | 1239 |
| Аффилиация | Felix M Lev; Laboratory of Nuclear Problems, Joint Institute for Nuclear Research, Dubna, Moscow 141980, Russia |
| Выпуск | 7 |
