Vladimir Dzhunushaliev, Konstantin G. Zloshchastiev
We propose a model of the spinless electrical charge as the self-consistent field configuration of the electromagnetic (EM) field interacting with the physical vacuum effectively described by the logarithmic Bose liquid. We show that, in contrast to the EM field propagating in a trivial vacuum, a regular solution does exist, and both its mass and spatial extent emerge naturally from dynamics. It is demonstrated that the charge and energy density have the Gaussian-like form, the solution in the logarithmic model is stable and energetically favorable, unlike the one obtained in the Higgs-type (quartic) theory.
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http://arxiv.org/abs/1204.6380
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