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Moyal Planes are Spectral Triples | V. Gayral
; J. M. Gracia-Bond’{i}a
; B. Iochum
; T. Schücker
; J. C. Varilly
; | Date: |
24 Jul 2003 | Journal: | Commun.Math.Phys. 246 (2004) 569-623 | Subject: | High Energy Physics - Theory; Operator Algebras | hep-th math.OA | Abstract: | 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. | Source: | arXiv, hep-th/0307241 | Services: | Forum | Review | PDF | Favorites |
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