English

Strictly finite range forces from the signum-Gordon field: exact results in two spatial dimensions

High Energy Physics - Theory 2015-10-22 v2 Exactly Solvable and Integrable Systems

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.

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Cite

@article{arxiv.1504.04963,
  title  = {Strictly finite range forces from the signum-Gordon field: exact results in two spatial dimensions},
  author = {H. Arodź and J. Karkowski and Z. Świerczyński},
  journal= {arXiv preprint arXiv:1504.04963},
  year   = {2015}
}

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