Noncommutative Induced Gauge Theories on Moyal Spaces

Simple item page
dc.creatorWallet, Jean-Christophe
dc.date2007-08-18
dc.date2007-09-26
dc.date.accessioned2026-07-07T11:18:42Z
dc.date.available2026-07-07T11:18:42Z
dc.descriptionNoncommutative field theories on Moyal spaces can be conveniently handled within a framework of noncommutative geometry. Several renormalisable matter field theories that are now identified are briefly reviewed. The construction of renormalisable gauge theories on these noncommutative Moyal spaces, which remains so far a challenging problem, is then closely examined. The computation in 4-D of the one-loop effective gauge theory generated from the integration over a scalar field appearing in a renormalisable theory minimally coupled to an external gauge potential is presented. The gauge invariant effective action is found to involve, beyond the expected noncommutative version of the pure Yang-Mills action, additional terms that may be interpreted as the gauge theory counterpart of the harmonic term, which for the noncommutative $ϕ^4$-theory on Moyal space ensures renormalisability. A class of possible candidates for renormalisable gauge theory actions defined on Moyal space is presented and discussed.
dc.description24 pages, 6 figures. Talk given at the "International Conference on Noncommutative Geometry and Physics", April 2007, Orsay (France). References updated. To appear in J. Phys. Conf. Ser
dc.identifierhttps://arxiv.org/abs/0708.2471
dc.identifierhttp://arxiv.org/abs/0708.2471
dc.identifierJ.Phys.Conf.Ser.103:012007,2008
dc.identifierdoi:10.1088/1742-6596/103/1/012007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193434
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleNoncommutative Induced Gauge Theories on Moyal Spaces
dc.typetext

Files

Collections

arXiv