Quantum vacuum interaction between two sine-Gordon kinks
M. Bordag, J. M. Munoz-Castaneda
TL;DR
This paper computes the quantum vacuum interaction energy between two sine-Gordon kinks, revealing an attractive force analogous to the Casimir effect, using the TGTG-formula to relate it to known quantum fluctuation formulas.
Contribution
It introduces a method to calculate quantum vacuum interactions between sine-Gordon kinks using the TGTG-formula, extending Casimir force concepts to soliton interactions.
Findings
The interaction is attractive between the kinks.
The calculation reduces to known quantum fluctuation formulas.
The approach links soliton interactions to Casimir-like forces.
Abstract
We calculate the quantum vacuum interaction energy between two kinks of the sine-Gordon equation. Using the --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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.