Sphaleron of a 4 dimensional SO(4) Higgs model

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Details

9 pages, 2 figures, LaTex format, minor text corrections. To be published in Phys. Lett. B

Scientific paper

10.1016/S0370-2693(99)00838-2

We construct the finite energy path between topologically distinct vacua of a
4 dimensional SO(4) Higgs model which is known to support an instanton, and
show that there is a sphaleron with Chern-Simons number N_CS=1/2 at the top of
the energy barrier. This is carried out using the original geometric loop
construction of Manton.

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