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http://cimat.repositorioinstitucional.mx/jspui/handle/1008/682| Spin Foam Models of N-Dimensional Quantum Gravity , and Non-Archimedan and Non-Commutative Formulations | |
| JUAN MANUEL GARCIA ISLAS | |
| Acceso Abierto | |
| Atribución-NoComercial | |
| Gravedad Cuántica | |
| 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]. | |
| Centro de Investigación en Matemáticas AC | |
| 11-06-2004 | |
| Reporte | |
| Inglés | |
| Investigadores | |
| TEORÍA DE LA RELATIVIDAD | |
| Versión publicada | |
| publishedVersion - Versión publicada | |
| Aparece en las colecciones: | Reportes Técnicos - Matemáticas |
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| I-04-04.pdf | 325.07 kB | Adobe PDF | Visualizar/Abrir |