A Quantização da Gravitação em 3D com Constante Cosmológica Positiva
It was shown by Bonzom and Livine that 2+1 gravity with cosmological constant contains an ambiguity that depends on a Barbero–Immirzi-like parameter ? known from 4D gravity. Based on this fact, we showed that, for the ? > 0 case, the Lorentzian theory can be partially reduced, thanks to a suitabl...
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| Tipo de recurso: | tesis doctoral |
| Estado: | Versión publicada |
| Fecha de publicación: | 2012 |
| País: | Brasil |
| Institución: | Universidade Federal do Espírito Santo (UFES) |
| Repositorio: | Repositório Institucional da Universidade Federal do Espírito Santo (riUfes) |
| Idioma: | portugués |
| OAI Identifier: | oai:repositorio.ufes.br:10/7477 |
| Acceso en línea: | http://repositorio.ufes.br/handle/10/7477 |
| Access Level: | acceso abierto |
| Palabra clave: | Teoria de Laços Teoria de Campos Gravitação Física 53 |
| Sumario: | It was shown by Bonzom and Livine that 2+1 gravity with cosmological constant contains an ambiguity that depends on a Barbero–Immirzi-like parameter ? known from 4D gravity. Based on this fact, we showed that, for the ? > 0 case, the Lorentzian theory can be partially reduced, thanks to a suitable gauge fixing, to a Chern–Simons theory with compact gauge group SU(2). Then we revised already known loop quantization of Chern–Simons theory for the case of a space with the topology of a cylinder. Finally we construct a quantum observable which, despite having a not trivial spectrum at the quantum level, it corresponds to a classical quantity identically null. |
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