On the ultraviolet behaviour of quantum fields over noncommutative manifolds
By exploiting the relation between Fredholm modules and the Segal-Shale-Stinespring version of canonical quantization, and taking as starting point the first-quantized fields described by Connes' axioms for noncommutative spin geometries, a Hamiltonian framework for fermion quantum fields over...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 1999 |
| País: | Costa Rica |
| Institución: | Universidad de Costa Rica |
| Repositorio: | Kérwá |
| Idioma: | inglés |
| OAI Identifier: | oai:kerwa.ucr.ac.cr:10669/88217 |
| Acceso en línea: | https://www.worldscientific.com/doi/10.1142/S0217751X99000671 https://hdl.handle.net/10669/88217 |
| Access Level: | acceso abierto |
| Palabra clave: | geometría no conmutativa dimensión cuántica teorema del índice MATEMÁTICAS |
| Sumario: | By exploiting the relation between Fredholm modules and the Segal-Shale-Stinespring version of canonical quantization, and taking as starting point the first-quantized fields described by Connes' axioms for noncommutative spin geometries, a Hamiltonian framework for fermion quantum fields over noncommutative manifolds is introduced. We analyze the ultraviolet behaviour of second-quantized fields over noncommutative three-tori, and discuss what behaviour should be expected on other noncommutative spin manifolds. |
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