Abstract
We propose a model of a spinless electrical charge as a self-consistent field configuration of the electromagnetic (EM) field interacting with a physical vacuum effectively described by the logarithmic quantum 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 distribution acquire Gaussian-like form. The solution in the logarithmic model is stable and energetically favourable, unlike that obtained in a model with a quartic (Higgs-like) potential.
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Dzhunushaliev, V., Zloshchastiev, K.G. Singularity-free model of electric charge in physical vacuum: non-zero spatial extent and mass generation. centr.eur.j.phys. 11, 325–335 (2013). https://doi.org/10.2478/s11534-012-0159-z
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DOI: https://doi.org/10.2478/s11534-012-0159-z