English

Quantum vacuum interaction between two sine-Gordon kinks

High Energy Physics - Theory 2015-06-03 v1

Abstract

We calculate the quantum vacuum interaction energy between two kinks of the sine-Gordon equation. Using the TGTGTGTG--formula, the problem is reduced to the known formulas for quantum fluctuations in the background of a single kink. This interaction induces an attractive force between the kinks in parallel to the Casimir force between conducting mirrors.

Cite

@article{arxiv.1112.3237,
  title  = {Quantum vacuum interaction between two sine-Gordon kinks},
  author = {M. Bordag and J. M. Munoz-Castaneda},
  journal= {arXiv preprint arXiv:1112.3237},
  year   = {2015}
}

Comments

15 pages, 4 figures

R2 v1 2026-06-21T19:51:14.320Z