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Noncommutative differential calculus and application to gauge theory on Moyal space

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Marcillaud de Goursac, Axel [UCL]

We introduce graded derivation-based differential calculus for epsilon-graded associative algebras (or color algebras). A corresponding notion of noncommutative connection is also defined. We then apply this formalism to a graded version of the Moyal algebra, for which we recover the recently constructed candidate for a renormalizable gauge action on Moyal space supplemented by terms built from a scalar field and a 2-covariant symmetric tensor field.

Document type Communication à un colloque (Conference Paper) – Présentation orale avec comité de sélection
Publication date 2009
Language Anglais
Conference "23. Workshop "Foundations and Constructive Aspects of QFT"", Institut für Theoretische Physik, Universität Göttingen (du 30/01/2009 au 31/01/2009)
Affiliation UCL - SST/IRMP - Institut de recherche en mathématique et physique
Keywords Derivation-based differential calculus ; Noncommutative geometry ; Color algebras ; Gauge theory ; Moyal space
Links
Bibliographic reference Marcillaud de Goursac, Axel. Noncommutative differential calculus and application to gauge theory on Moyal space.23. Workshop "Foundations and Constructive Aspects of QFT" (Institut für Theoretische Physik, Universität Göttingen, du 30/01/2009 au 31/01/2009).
Permanent URL http://hdl.handle.net/2078.1/137604