The Standard Model and its Generalisations in Epstein-Glaser Approach to Renormalisation Theory

dc.creatorGrigore, Dan Radu
dc.date1998-10-12
dc.date2000-04-27
dc.date.accessioned2026-07-07T10:53:58Z
dc.date.available2026-07-07T10:53:58Z
dc.descriptionWe continue our study of non-Abelian gauge theories in the framework of Epstein-Glaser approach to renormalisation theory. We consider the case when massive spin-one Bosons are present into the theory and we modify appropriately the analysis of the origin of gauge invariance performed in a preceding paper in the case of null-mass spin-one Bosons. Then we are able to extend a result of Dütsch and Scharf concerning the uniqueness of the standard model consistent with renormalisation theory. In fact we consider the most general case i.e. the consistent interaction of $r$ spin-one Bosons and we do not impose any restriction on the gauge group and the mass spectrum of the theory. We show that, beside the natural emergence of a group structure (like in the massless case) we obtain, new conditions of group-theoretical nature, namely the existence of a certain representation of the gauge group associated to the Higgs fields. Some other mass relations connecting the structure constants of the gauge group and the masses of the Bosons emerge naturally. The proof is done using Epstein-Glaser approach to renormalisation theory.
dc.description42 pages, LATEX 2e, some improvements and corrections
dc.identifierhttps://arxiv.org/abs/hep-th/9810078
dc.identifierhttp://arxiv.org/abs/hep-th/9810078
dc.identifierJ.Phys.A33:8443-8476,2000
dc.identifierdoi:10.1088/0305-4470/33/47/309
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185666
dc.subjectHigh Energy Physics - Theory
dc.titleThe Standard Model and its Generalisations in Epstein-Glaser Approach to Renormalisation Theory
dc.typetext

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