Winding number versus Chern--Pontryagin charge

Details Winding number versus Chern--Pontryagin charge Winding number versus Chern--Pontryagin charge

2002-04-04

arxiv.org/abs/hep-th/0204040v1

World Scientific, May 2002

Physics

High Energy Physics

High Energy Physics - Theory

in "From integrable models to gauge theories"- A volume in honor of Sergei Matinyan, Eds. V.G. Gurzadyan, A.G. Sedrakian

Scientific paper

In the usual d dimensional SO(d) gauged Higgs models with $d$-component Higgs fields, the 'energies' of the topologically stable solitons are bounded from below by the Chern-Pontryagin charges. A new class of Higgs models is proposed here, whose 'energies' are stabilised instead by the winding number of the Higgs field itself, with no reference to the gauge group. Consequently, such Higgs models can be gauged by SO(N), with 2 \le N \le d.

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