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Probing negative-dimensional integration: Two-loop covariant vertex and one-loop light-cone integrals

dc.contributor.authorSuzuki, A. T. [UNESP]
dc.contributor.authorSchmidt, A. G M [UNESP]
dc.contributor.authorBentín, R. [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-27T11:19:42Z
dc.date.available2014-05-27T11:19:42Z
dc.date.issued1999-01-04
dc.description.abstractThe negative-dimensional integration method (NDIM) seems to be a very promising technique for evaluating massless and/or massive Feynman diagrams. It is unique in the sense that the method gives solutions in different regions of external momenta simultaneously. Moreover, it is a technique whereby the difficulties associated with performing parametric integrals in the standard approach are transferred to a simpler solving of a system of linear algebraic equations, thanks to the polynomial character of the relevant integrands. We employ this method to evaluate a scalar integral for a massless two-loop three-point vertex with all the external legs off-shell, and consider several special cases for it, yielding results, even for distinct simpler diagrams. We also consider the possibility of NDIM in non-covariant gauges such as the light-cone gauge and do some illustrative calculations, showing that for one-degree violation of covariance (i.e. one external, gauge-breaking, light-like vector n μ) the ensuing results are concordant with the ones obtained via either the usual dimensional regularization technique, or the use of the principal value prescription for the gauge-dependent pole, while for two-degree violation of covariance - i.e. two external, light-like vectors n μ, the gauge-breaking one, and (its dual) n * μ - the ensuing results are concordant with the ones obtained via causal constraints or the use of the so-called generalized Mandelstam-Leibbrandt prescription. © 1999 Elsevier Science B.V.en
dc.description.affiliationUniversidade Estadual Paulista Instituto Fisica Teorica, R.Pamplona, 145, São Paulo SP CEP 01405-900
dc.description.affiliationUnespUniversidade Estadual Paulista Instituto Fisica Teorica, R.Pamplona, 145, São Paulo SP CEP 01405-900
dc.format.extent549-560
dc.identifierhttp://dx.doi.org/10.1016/S0550-3213(98)00613-0
dc.identifier.citationNuclear Physics B, v. 537, n. 1-3, p. 549-560, 1999.
dc.identifier.doi10.1016/S0550-3213(98)00613-0
dc.identifier.issn0550-3213
dc.identifier.lattes7511139477883318
dc.identifier.scopus2-s2.0-0033521345
dc.identifier.urihttp://hdl.handle.net/11449/65707
dc.identifier.wosWOS:000077843500024
dc.language.isoeng
dc.relation.ispartofNuclear Physics B
dc.relation.ispartofjcr3.285
dc.relation.ispartofsjr1,744
dc.rights.accessRightsAcesso restrito
dc.sourceScopus
dc.titleProbing negative-dimensional integration: Two-loop covariant vertex and one-loop light-cone integralsen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
unesp.author.lattes7511139477883318[1]
unesp.author.orcid0000-0001-8336-2135[2]
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Física Teórica (IFT), São Paulopt

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