Probing negative-dimensional integration: Two-loop covariant vertex and one-loop light-cone integrals
dc.contributor.author | Suzuki, A. T. [UNESP] | |
dc.contributor.author | Schmidt, A. G M [UNESP] | |
dc.contributor.author | Bentín, R. [UNESP] | |
dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
dc.date.accessioned | 2014-05-27T11:19:42Z | |
dc.date.available | 2014-05-27T11:19:42Z | |
dc.date.issued | 1999-01-04 | |
dc.description.abstract | The 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.affiliation | Universidade Estadual Paulista Instituto Fisica Teorica, R.Pamplona, 145, São Paulo SP CEP 01405-900 | |
dc.description.affiliationUnesp | Universidade Estadual Paulista Instituto Fisica Teorica, R.Pamplona, 145, São Paulo SP CEP 01405-900 | |
dc.format.extent | 549-560 | |
dc.identifier | http://dx.doi.org/10.1016/S0550-3213(98)00613-0 | |
dc.identifier.citation | Nuclear Physics B, v. 537, n. 1-3, p. 549-560, 1999. | |
dc.identifier.doi | 10.1016/S0550-3213(98)00613-0 | |
dc.identifier.issn | 0550-3213 | |
dc.identifier.lattes | 7511139477883318 | |
dc.identifier.scopus | 2-s2.0-0033521345 | |
dc.identifier.uri | http://hdl.handle.net/11449/65707 | |
dc.identifier.wos | WOS:000077843500024 | |
dc.language.iso | eng | |
dc.relation.ispartof | Nuclear Physics B | |
dc.relation.ispartofjcr | 3.285 | |
dc.relation.ispartofsjr | 1,744 | |
dc.rights.accessRights | Acesso restrito | |
dc.source | Scopus | |
dc.title | Probing negative-dimensional integration: Two-loop covariant vertex and one-loop light-cone integrals | en |
dc.type | Artigo | |
dcterms.license | http://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy | |
unesp.author.lattes | 7511139477883318[1] | |
unesp.author.orcid | 0000-0001-8336-2135[2] | |
unesp.campus | Universidade Estadual Paulista (Unesp), Instituto de Física Teórica (IFT), São Paulo | pt |