Strictly finite range forces from the signum-Gordon field: exact results in two spatial dimensions
arXiv:1504.04963 · doi:10.5506/APhysPolB.46.2005
Abstract
Exact formula for the force between two identical static point charges coupled to the nonlinear scalar field of two-dimensional signum-Gordon model is obtained. Pertinent solution of the field equation is found in the form of one-dimensional integral. The force exactly vanishes when the distance between the charges exceeds certain critical value.
published version
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