Noncommutative Induced Gauge Theory

dc.creatorde Goursac, Axel
dc.creatorWallet, Jean-Christophe
dc.creatorWulkenhaar, Raimar
dc.date2007-03-08
dc.date2007-03-09
dc.date.accessioned2026-07-07T11:44:04Z
dc.date.available2026-07-07T11:44:04Z
dc.descriptionWe consider an external gauge potential minimally coupled to a renormalisable scalar theory on 4-dimensional Moyal space and compute in position space the one-loop Yang-Mills-type effective theory generated from the integration over the scalar field. We find that the gauge invariant effective action involves, 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 oscillator term, which for the noncommutative $ϕ^4$-theory on Moyal space ensures renormalisability. The expression of a possible candidate for a renormalisable action for a gauge theory defined on Moyal space is conjectured and discussed.
dc.description20 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/hep-th/0703075
dc.identifierhttp://arxiv.org/abs/hep-th/0703075
dc.identifierEur.Phys.J.C51:977-987,2007
dc.identifierdoi:10.1140/epjc/s10052-007-0335-2
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/201469
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleNoncommutative Induced Gauge Theory
dc.typetext

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