Journal
CENTRAL EUROPEAN JOURNAL OF PHYSICS
Volume 11, Issue 3, Pages 325-335Publisher
VERSITA
DOI: 10.2478/s11534-012-0159-z
Keywords
particle model; electric charge; divergence-free solution; mass generation mechanism; superfluid vacuum
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Funding
- National Research Foundation of South Africa
- Research Group Linkage Program of the Alexander von Humboldt Foundation
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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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