On the ultraviolet behaviour of quantum fields over noncommutative manifolds

 

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Bibliographic Details
Authors: Várilly Boyle, Joseph C., Gracia Bondía, José M.
Format: artículo original
Publication Date:1999
Description: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.
Country:Kérwá
Institution:Universidad de Costa Rica
Repositorio:Kérwá
Language:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/88217
Online Access:https://www.worldscientific.com/doi/10.1142/S0217751X99000671
https://hdl.handle.net/10669/88217
Keyword:geometría no conmutativa
dimensión cuántica
teorema del índice
MATEMÁTICAS