Field theories on spaces with linear fuzziness

dc.creatorFatollahi, A. H.
dc.creatorKhorrami, M.
dc.date2006-12-03
dc.date2007-10-23
dc.date.accessioned2026-07-07T11:23:20Z
dc.date.available2026-07-07T11:23:20Z
dc.descriptionA noncommutative space is considered the position operators of which satisfy the commutativity relations of a Lie algebra. The basic tools for calculation on this space, including the product of the fields, inner product and the proper measure for integration are derived. Some general aspects of perturbative field theory calculations on this space are also discussed. Among the features of such models is that they are free from ultraviolet divergences (and hence free from UV/IR mixing as well), if the group is compact. The example of the group SO(3) or SU(2) is investigated in more detail.
dc.description12 pages, no figs., LaTeX. v2: Comments and discussions are added, e.g. on absence of UV/IR phenomena. No change in results
dc.identifierhttps://arxiv.org/abs/hep-th/0612013
dc.identifierhttp://arxiv.org/abs/hep-th/0612013
dc.identifierEurophys.Lett.80:20003,2007
dc.identifierdoi:10.1209/0295-5075/80/20003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/194859
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleField theories on spaces with linear fuzziness
dc.typetext

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