English

JNR Skyrmions

High Energy Physics - Theory 2024-12-11 v2

Abstract

The JNR ansatz provides a simple formula to obtain families of charge N self-dual SU(2) Yang-Mills instantons in four-dimensional Euclidean space, from the free data of N+1 distinct points with associated positive weights. Here an analogous formula is presented for Skyrme fields in three-dimensional Euclidean space. These families of Skyrme fields include good approximations to a range of Skyrmions, with energies that are typically within a few percent of the numerically computed solutions.

Keywords

Cite

@article{arxiv.2409.05058,
  title  = {JNR Skyrmions},
  author = {Paul Sutcliffe},
  journal= {arXiv preprint arXiv:2409.05058},
  year   = {2024}
}

Comments

14 pages, matches published version

R2 v1 2026-06-28T18:37:41.066Z