| Автор | Pranzetti, Daniele |
| Дата выпуска | 2011-11-21 |
| dc.description | In this paper, I investigate the possible quantization, in the context of loop quantum gravity, of three-dimensional gravity in the case of positive cosmological constant Λ and try to make contact with alternative quantization approaches already existing in the literature. Due to the appearance of an anomaly in the constraints algebra, previously studied as a first step of the analysis, alternative techniques developed for the quantization of systems with constraints algebras not associated with a structure Lie group need to be adopted. Therefore, I introduce an ansatz for a physical state, which gives some transition amplitudes in agreement with what one would expect from the Turaev–Viro model. Moreover, in order to check that this state implements the right dynamics, I show that it annihilates the master constraint for the theory up to the first order in Λ. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Копирайт | 2011 IOP Publishing Ltd |
| Название | 2 + 1 gravity with a positive cosmological constant in LQG: a proposal for the physical state |
| Тип | paper |
| DOI | 10.1088/0264-9381/28/22/225025 |
| Electronic ISSN | 1361-6382 |
| Print ISSN | 0264-9381 |
| Журнал | Classical and Quantum Gravity |
| Том | 28 |
| Первая страница | 225025 |
| Последняя страница | 225046 |
| Аффилиация | Pranzetti, Daniele; Centre de Physique Théorique, Universitè de Provence, Aix-Marseille I, Campus de Luminy, 13288 Marseille, France |
| Выпуск | 22 |
