Spin Foam Models of N-Dimensional Quantum Gravity , and Non-Archimedan and Non-Commutative Formulations
This paper is twofold. First of all a complete uni ed picture of n -dimensional quantum gravity is proposed in the following sense: In spin foam models of quantum gravity the evaluation of spin networks play a very important role. These evaluations correspond to amplitudes which contribute in a stat...
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| Tipo de recurso: | informe técnico |
| Estado: | Versión publicada |
| Fecha de publicación: | 2004 |
| País: | México |
| Institución: | Centro de Investigación en Matemáticas |
| Repositorio: | Repositorio Institucional CIMAT |
| Idioma: | inglés |
| OAI Identifier: | oai:cimat.repositorioinstitucional.mx:1008/682 |
| Acceso en línea: | http://cimat.repositorioinstitucional.mx/jspui/handle/1008/682 |
| Access Level: | acceso abierto |
| Palabra clave: | info:eu-repo/classification/MSC/Gravedad Cuántica info:eu-repo/classification/cti/1 info:eu-repo/classification/cti/22 info:eu-repo/classification/cti/2212 info:eu-repo/classification/cti/221214 |
| Sumario: | This paper is twofold. First of all a complete uni ed picture of n -dimensional quantum gravity is proposed in the following sense: In spin foam models of quantum gravity the evaluation of spin networks play a very important role. These evaluations correspond to amplitudes which contribute in a state sum model of quantum gravity. In [6], the evaluation of spin networks as integrals over internal spaces was described. This evaluation was restricted to evaluations of spin networks in n -dimensional Euclidean quantum gravity. Here we propose that a similar method can be considered to include Lorentzian quantum gravity. We therefore describe the the evaluation of spin networks in the Lorentzian framework of spin foam models. We also include a limit of the Euclidean and Lorentzian spin foam models which we call Newtonian. This Newtonian limit was also considered in [10]. |
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