Covariant background field calculation of ultraviolet counterterms

dc.creatorFilho, F. M. de Carvalho
dc.date1996-05-28
dc.date.accessioned2026-07-07T04:22:07Z
dc.date.available2026-07-07T04:22:07Z
dc.descriptionBased on the covariant background field method, we calculate the ultraviolet counter\-terms up to two-loop order and discuss the renormalizability of the three-dimensional non-linear sigma models with arbitrary Riemannian manifolds as target spaces. We investigate the bosonic model and its supersymmetric extension. We show that at the one-loop level these models are renormalizable and even finite when the manifolds are Ricci-flat. However, at the two-loop order, we find non-renormalizable counterterms in all cases considered, so the renormalizability and finiteness of such models are completely lost in this order.
dc.description17 pages, latex, 5 eps figures
dc.identifierhttps://arxiv.org/abs/hep-th/9605198
dc.identifierhttp://arxiv.org/abs/hep-th/9605198
dc.identifierZ.Phys. C74 (1997) 185-190
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/54593
dc.subjectHigh Energy Physics - Theory
dc.titleCovariant background field calculation of ultraviolet counterterms
dc.typetext

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