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With the standard system for an SU(2) Higgs field in M_4 X S_1, the top andbottom component of the Higgs spinor have exactly the same coeficients for thequadratic and quadric terms. This makes the vacuum degenerate and thus thereare no tunneling effects to zeroth order in radiative corrections of the vectorgauge felds in the standard model with this extra dimensional geometry.However, if we include an external magnetic flux that permeates our manifold,then the top component of the Higgs spinor will have an additional term in itscoefficient due to this theoretical flux with the usual charge assignments forthe standard model. This extra term gives rise to two nondegenerate vacuumstates for the resulting potential. We will compute the tunneling probabilityper unit time per unit volume between these vacuum states for the zero modes ofour system as well as investigate the masses for the fields of the model usingthe false vacuum.

Vacuum Tunneling in an Electroweak Model in Extra Dimensions With an External Flux