English

Elastic Kink-Meson Scattering

High Energy Physics - Theory 2023-11-27 v1

Abstract

In classical field theory, radiation does not reflect off of reflectionless kinks. In quantum field theory, radiation quanta, called mesons, can be reflected. We provide a general analytical formula for the leading order amplitude and probability for the elastic scattering of mesons off of reflectionless quantum kinks. In the case of the Sine-Gordon model we verify that, due to a cancellation of six contributing processes, our general formula yields an amplitude of zero, as is required by integrability.

Keywords

Cite

@article{arxiv.2311.14369,
  title  = {Elastic Kink-Meson Scattering},
  author = {Jarah Evslin and Hui Liu},
  journal= {arXiv preprint arXiv:2311.14369},
  year   = {2023}
}

Comments

18 pages, 5 PDF figures

R2 v1 2026-06-28T13:30:14.272Z