Moyal planes are spectral triples
Axioms for nonunital spectral triples, extending those introduced in the unital case by Connes, are proposed. As a guide, and for the sake of their importance in noncommutative quantum field theory, the spaces R^2N endowed with Moyal products are intensively investigated. Some physical applications,...
| Autores: | , , , , |
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| Tipo de documento: | artigo |
| Data de publicação: | 2004 |
| País: | Costa Rica |
| Recursos: | Universidad de Costa Rica |
| Repositório: | Kérwá |
| Idioma: | inglês |
| OAI Identifier: | oai:kerwa.ucr.ac.cr:10669/88502 |
| Acesso em linha: | https://link.springer.com/article/10.1007/s00220-004-1057-z https://hdl.handle.net/10669/88502 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Triple espectral Geometría no conmutativa Cuantización de Moyal |
| Resumo: | Axioms for nonunital spectral triples, extending those introduced in the unital case by Connes, are proposed. As a guide, and for the sake of their importance in noncommutative quantum field theory, the spaces R^2N endowed with Moyal products are intensively investigated. Some physical applications, such as the construction of noncommutative Wick monomials and the computation of the Connes-Lott functional action, are given for these noncommutative hyperplanes. |
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