A systematization for one-loop 4D Feynman integrals

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dc.contributor.authorBattistel, O. A.
dc.contributor.authorDallabona, G.
dc.contributor.institutionUniversidade Federal de Sergipe (UFS)
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-20T14:06:27Z
dc.date.available2014-05-20T14:06:27Z
dc.date.issued2006-03-01
dc.description.abstractWe present a strategy for the systematization of manipulations and calculations involving divergent (or not) Feynman integrals, typical of the one-loop perturbative solutions of QFT, where the use of an explicit regularization is avoided. Two types of systematization are adopted. The divergent parts are put in terms of a small number of standard objects, and a set of structure functions for the finite parts is also defined. Some important properties of the finite structures, specially useful in the verification of relations among Green's functions, are identified. We show that, in fundamental (renormalizable) theories, all the finite parts of two-, three- and four-point functions can be written in terms of only three basic functions while the divergent parts require (only) five objects. The final results obtained within the proposed strategy can be easily converted into those corresponding to any specific regularization technique providing an unified point of view for the treatment of divergent Feynman integrals. Examples of physical amplitudes evaluation and their corresponding symmetry relations verification are presented as well as generalizations of our results for the treatment of Green's functions having an arbitrary number of points are considered.en
dc.description.affiliationUniversidade Federal de Santa Maria (UFSM), Dept Fis, BR-97119900 Santa Maria, RS, Brazil
dc.description.affiliationUniv Estadual Paulista, Inst Fis Teor, BR-01405900 São Paulo, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, Inst Fis Teor, BR-01405900 São Paulo, Brazil
dc.format.extent721-743
dc.identifierhttp://dx.doi.org/10.1140/epjc/s2005-02437-0
dc.identifier.citationEuropean Physical Journal C. New York: Springer, v. 45, n. 3, p. 721-743, 2006.
dc.identifier.doi10.1140/epjc/s2005-02437-0
dc.identifier.issn1434-6044
dc.identifier.urihttp://hdl.handle.net/11449/23311
dc.identifier.wosWOS:000241559300012
dc.language.isoeng
dc.publisherSpringer
dc.relation.ispartofEuropean Physical Journal C
dc.relation.ispartofjcr5.172
dc.relation.ispartofsjr2,022
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.titleA systematization for one-loop 4D Feynman integralsen
dc.typeArtigo
dcterms.licensehttp://www.springer.com/open+access/authors+rights?SGWID=0-176704-12-683201-0
dcterms.rightsHolderSpringer
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Física Teórica (IFT), São Paulopt

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