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Author Sardanashvily, G.
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2005-10-19
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Natural sciences & mathematics ♦ Physics
Subject Keyword High Energy Physics - Theory ♦ physics:hep-th
Abstract In 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.
Description Reference: Int.J.Geom.Meth.Mod.Phys.3:139-148,2006
Educational Use Research
Learning Resource Type Article
Page Count 11


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