Geometry of classical Higgs fields

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dc.creatorSardanashvily, G.
dc.date2005-10-19
dc.date2006-02-10
dc.date.accessioned2026-07-07T10:45:16Z
dc.date.available2026-07-07T10:45:16Z
dc.descriptionIn gauge theory, Higgs fields are responsible for spontaneous symmetry breaking. In classical gauge theory on a principal bundle P, a symmetry breaking is defined as the reduction of a structure group of this principal bundle to a subgroup H of exact symmetries. This reduction takes place iff there exists a global section of the quotient bundle P/H. It is a classical Higgs field. A metric gravitational field exemplifies such a Higgs field. We summarize the basic facts on the reduction in principal bundles and geometry of Higgs fields. Our goal is the particular covariant differential in the presence of a Higgs field.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0510168
dc.identifierhttp://arxiv.org/abs/hep-th/0510168
dc.identifierInt.J.Geom.Meth.Mod.Phys.3:139-148,2006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/182862
dc.subjectHigh Energy Physics - Theory
dc.titleGeometry of classical Higgs fields
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