The Higgs field and the ultraviolet behaviour of the vortex operator in 2+1 dimensions

Details The Higgs field and the ultraviolet behaviour of the vortex operator in 2+1 dimensions The Higgs field and the ultraviolet behaviour of the vortex operator in 2+1 dimensions

2004-05-13

arxiv.org/abs/hep-th/0405122v1

JHEP 0407 (2004) 003

Physics

High Energy Physics

High Energy Physics - Theory

14 pages

Scientific paper

10.1088/1126-6708/2004/07/003

We calculate the change in the ultraviolet behaviour of the vortex operator due to the presence of dynamical Higgs field in both 2+1 dimensional QED and the 2+1 dimensional Georgi-Glashow model. We find that in the QED case the presence of the Higgs field leads at the one loop level to power like correction to the propagator of the vortex operator. On the other hand, in the Georgi-Glashow model, the adjoint Higgs at one loop has no affect on the vortex propagator. Thus, as long as the mass of the Higgs field is much larger than the gauge coupling constant, the ultraviolet behaviour of the vortex operator in the Georgi-Glashow model is independent of the Higgs mass.

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