Geometry of classical Higgs fields

Details Geometry of classical Higgs fields Geometry of classical Higgs fields

2005-10-19

arxiv.org/abs/hep-th/0510168v3

Int.J.Geom.Meth.Mod.Phys.3:139-148,2006

Physics

High Energy Physics

High Energy Physics - Theory

11 pages

Scientific paper

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.

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