On the ultraviolet behaviour of quantum fields over noncommutative manifolds

 

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Detalles Bibliográficos
Autores: Várilly Boyle, Joseph C., Gracia Bondía, José M.
Formato: artículo original
Fecha de Publicación:1999
Descripción: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.
País:Kérwá
Institución:Universidad de Costa Rica
Repositorio:Kérwá
Lenguaje: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
Palabra clave:geometría no conmutativa
dimensión cuántica
teorema del índice
MATEMÁTICAS