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Paper detail

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

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.

preprint1999arXivOpen access
B. KleihausD. H. TchrakianF. Zimmerschied
hep-th
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B. KleihausD. H. TchrakianF. Zimmerschied

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