Renormalization of the ladder light-front Bethe-Salpeter equation in the Yukawa model

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dc.identifier.uri Sales, J.H.O. Frederico, T. Carlson, B.V. Sauer, Peter Ulrich 2020-01-15T08:50:09Z 2020-01-15T08:50:09Z 2001
dc.identifier.citation Sales, J.H.O.; Frederico, T.; Carlson, B.V.; Sauer, P.U.: Renormalization of the ladder light-front Bethe-Salpeter equation in the Yukawa model. In: Physical Review C 63 (2001), Nr. 6, 064003. DOI:
dc.description.abstract The reduction of the two-fermion Bethe-Salpeter equation in the framework of light-front dynamics is studied for the Yukawa model. It yields auxiliary three-dimensional quantities for the transition matrix and the bound state. The arising effective interaction can be perturbatively expanded in powers of the coupling constant gs allowing a defined number of boson exchanges; it is divergent and needs renormalization; it also includes the instantaneous term of the Dirac propagator. One possible solution of the renormalization problem of the boson exchanges is shown to be provided by expanding the effective interaction beyond single boson exchange. The effective interaction in ladder approximation up to order g4s is discussed in detail. It is shown that the effective interaction naturally yields the “box counterterm” required to be introduced ad hoc previously. The covariant results of the Bethe-Salpeter equation can be recovered from the corresponding auxiliary three-dimensional quantities. eng
dc.language.iso eng
dc.publisher College Park, MD : American Physical Society
dc.relation.ispartofseries Physical Review C 63 (2001), Nr. 6
dc.rights Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.
dc.subject Bethe-Salpeter equation eng
dc.subject relativistic field theory eng
dc.subject off-mass-shell momentum operator eng
dc.subject.ddc 530 | Physik ger
dc.title Renormalization of the ladder light-front Bethe-Salpeter equation in the Yukawa model
dc.type Article
dc.type Text
dc.relation.essn 1089-490X
dc.relation.essn 2469-9993
dc.relation.issn 0556-2813
dc.relation.issn 2469-9985
dc.bibliographicCitation.issue 6
dc.bibliographicCitation.volume 63
dc.bibliographicCitation.firstPage 64003
dc.description.version publishedVersion
tib.accessRights frei zug�nglich

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