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arXiv · hep-th/9904048

d dimensional SO(d)-Higgs Models with Instanton and Sphaleron: d=2,3

B. Kleihaus·D. H. Tchrakian·F. Zimmerschied
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Abstract

The Abelian Higgs model and the Georgi-Glashow model in 2 and 3 Euclidean dimensions respectively, support both finite size instantons and sphalerons. The instantons are the familiar Nielsen-Oleson vortices and the 't Hooft-Polyakov monopole solutions respectively. We have constructed the sphaleron solutions and calculated the Chern-Simons charges N_cs for sphalerons of both models and have constructed two types of noncontractible loops between topologically distinct vacuua. In the 3 dimensional model, the sphaleron and the vacuua have zero magnetic and electric flux while the configurations on the loops have non vanishing magnetic flux.

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B. Kleihaus, D. H. Tchrakian, F. Zimmerschied. 1999-04-07. d dimensional SO(d)-Higgs Models with Instanton and Sphaleron: d=2,3. https://doi.org/10.1103/physrevd.60.125015

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