Exact renormalization of a noncommutative ϕ^3 model in 6 dimensions

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dc.creatorGrosse, Harald
dc.creatorSteinacker, Harold
dc.date2006-07-28
dc.date2007-07-05
dc.date.accessioned2026-07-07T12:52:29Z
dc.date.available2026-07-07T12:52:29Z
dc.descriptionThe noncommutative selfdual ϕ^3 model in 6 dimensions is quantized and essentially solved, by mapping it to the Kontsevich model. The model is shown to be renormalizable and asymptotically free, and solvable genus by genus. It requires both wavefunction and coupling constant renormalization. The exact (all-order) renormalization of the bare parameters is determined explicitly, which turns out to depend on the genus 0 sector only. The running coupling constant is also computed exactly, which decreases more rapidly than predicted by the one-loop beta function. A phase transition to an unstable phase is found.
dc.description32 pages, 3 figures. V2: discussion added, minor stylistic changes
dc.identifierhttps://arxiv.org/abs/hep-th/0607235
dc.identifierhttp://arxiv.org/abs/hep-th/0607235
dc.identifierAdv.Theor.Math.Phys.12:605,2008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223313
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleExact renormalization of a noncommutative ϕ^3 model in 6 dimensions
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