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dc.contributor.authorGirotti, Horacio Oscarpt_BR
dc.contributor.authorGomes, Marcelopt_BR
dc.contributor.authorPetrov, Albert Yu.pt_BR
dc.contributor.authorRivelles, Victor O.pt_BR
dc.contributor.authorSilva, Adilson J. dapt_BR
dc.date.accessioned2014-10-01T02:10:47Zpt_BR
dc.date.issued2003pt_BR
dc.identifier.issn0556-2821pt_BR
dc.identifier.urihttp://hdl.handle.net/10183/104016pt_BR
dc.description.abstractThe spontaneous symmetry breaking of rotational O(N) symmetry in noncommutative field theory is investigated in a 2+1 dimensional model of scalar fields coupled through a combination of quartic and sextuple self-interactions. There are five possible orderings of the fields in the sextuple interaction and two for the quartic interaction. At one loop, we prove that for some choices of these orderings there is the absence of IR-UV mixing and the appearance of massless excitations. A supersymmetric extension of the model is also studied. Supersymmetry puts additional constraints on the couplings but for any given N there is a Moyal ordering of the superfields for which the requirement for the existence of Goldstone bosons is satisfied. For some ordering and when N→∞ we find evidence that the model is renormalizable to all orders in perturbation theory. We also consider a generic chiral model in 3+1 dimensions whose superpotential is invariant under local gauge transformations. We find that for any value of N there is no one loop correction to the pion mass and that, at two loops, there are no pion mass corrections for slowly varying superfields so that the Goldstone theorem holds true. We also find a new purely noncommutative coupling which gives contributions starting at order N — 2 loops.en
dc.format.mimetypeapplication/pdf
dc.language.isoengpt_BR
dc.relation.ispartofPhysical review. D, Particles and fields. Vol. 67, no. 12 (June 2003), 125003 10 p.pt_BR
dc.rightsOpen Accessen
dc.subjectRenormalizacaopt_BR
dc.titleSpontaneous symmetry breaking in noncommutative field theoriespt_BR
dc.typeArtigo de periódicopt_BR
dc.identifier.nrb000369732pt_BR
dc.type.originEstrangeiropt_BR


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