Renormalization and Induced Gauge Action on a Noncommutative Space

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dc.creatorGrosse, Harald
dc.creatorWohlgenannt, Michael
dc.date2007-06-14
dc.date.accessioned2026-07-07T11:41:17Z
dc.date.available2026-07-07T11:41:17Z
dc.descriptionField theories on deformed spaces suffer from the IR/UV mxing and renormalization is generically spoiled. In work with R. Wulkenhaar, one of us realized a way to cure this desease by adding one more marginal operator. We review these ideas, show the application to $ϕ^3$ models and use heat kernel expansion methods for a scalar field theory coupled to an external gauge field on a $θ$-deformed space and derive noncommutative gauge actions.
dc.description20 pages; to appear in the proceedings of the 21st Nishinomiya-Yukawa Memorial Symposium Noncommutative geometry and quantum spacetime in physics, Nishinomiya and Kyoto (Japan), 2006
dc.identifierhttps://arxiv.org/abs/0706.2167
dc.identifierhttp://arxiv.org/abs/0706.2167
dc.identifierProg.Theor.Phys.Suppl.171:161-177,2007
dc.identifierdoi:10.1143/PTPS.171.161
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/200482
dc.subjectHigh Energy Physics - Theory
dc.titleRenormalization and Induced Gauge Action on a Noncommutative Space
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