Bogomol'nyi equations in gauge theories

Details Bogomol'nyi equations in gauge theories Bogomol'nyi equations in gauge theories

1997-06-27

arxiv.org/abs/hep-th/9706206v1

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, 3 Postsript figures

Scientific paper

By imposing self-duality conditions, we obtain the explicit form in which gauge theories spontaneously breakdown in the Bogomol'nyi limit. In this context, we reconsider the Abelian Higgs, Chern-Simons Higgs and Maxwell-Chern-Simons Higgs models. On the same footing, we find a topological Higgs potential for a Maxwell-Chern-Simons extended theory presenting both minimal and nonminimal coupling. Finally, we perform a numerical calculation in the asymmetric phase and show the solutions to the self-dual equations of motion of the topological theory. We argue about certain relations among the parameters of the model in order to obtain such vortex configurations.

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