Sphaleron of a 4 dimensional SO(4) Higgs model
arXiv:hep-th/9906213 · doi:10.1016/S0370-2693(99)00838-2
Abstract
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.
9 pages, 2 figures, LaTex format, minor text corrections. To be published in Phys. Lett. B