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Origin of the sphaleron dipole moment

Mark HindmarshDepartment of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW, United KingdomMargaret JamesDepartment of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW, United Kingdom
1994en
ABI

Abstract

By providing a suitable definition of the electromagnetic field off the Higgs vacuum, we show that within the sphaleron there is a monopole-antimonopole pair with quantized charges, and a loop of electromagnetic current. On integration of the relevant charges and currents over the interior in the limit of small ${\ensuremath{\Theta}}_{W}$, we recover the standard formula for the sphaleron dipole moment.

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