Loop diagrams in space with SU(2) fuzziness

dc.creatorKomaie-Moghaddam, H.
dc.creatorKhorrami, M.
dc.creatorFatollahi, A. H.
dc.date2007-12-13
dc.date2008-03-17
dc.date.accessioned2026-07-07T11:13:44Z
dc.date.available2026-07-07T11:13:44Z
dc.descriptionThe structure of loop corrections is examined in a scalar field theory on a three dimensional space whose spatial coordinates are noncommutative and satisfy SU(2) Lie algebra. In particular, the 2- and 4-point functions in $ϕ^4$ scalar theory are calculated at the 1-loop order. The theory is UV-finite as the momentum space is compact. It is shown that the non-planar corrections are proportional to a one dimensional $δ$-function, rather than a three dimensional one, so that in transition rates only the planar corrections contribute.
dc.descriptionv1: 12 pages, LaTeX, submitted PLB, v2: missing 2πis restored in 4-point function; last paragraph improved
dc.identifierhttps://arxiv.org/abs/0712.2216
dc.identifierhttp://arxiv.org/abs/0712.2216
dc.identifierPhys.Lett.B661:226-232,2008
dc.identifierdoi:10.1016/j.physletb.2008.02.002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/191823
dc.subjectHigh Energy Physics - Theory
dc.titleLoop diagrams in space with SU(2) fuzziness
dc.typetext

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