English

Sphaleron decay on circles

High Energy Physics - Theory 2025-03-17 v1

Abstract

We discuss various sphaleron-like solutions on S1\mathbb{S}^1. These solutions are static, but unstable. We explore possible stabilization mechanisms based on the excitation of internal modes. Additionally, we observe that, on time scales comparable to the size of the circle, the collapse of large sphalerons mimics the kink-antikink scattering on the real line.

Keywords

Cite

@article{arxiv.2503.11635,
  title  = {Sphaleron decay on circles},
  author = {S. Navarro-Obregón and J. Queiruga},
  journal= {arXiv preprint arXiv:2503.11635},
  year   = {2025}
}

Comments

24 pages, 10 figures

R2 v1 2026-06-28T22:20:58.453Z