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PreprintCC BY 4.0arXiv

Higher-Dimensional Integrable Scattering

  • Lewis T. Cole
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Abstract

This paper describes classical soliton scattering in the 2+1d integrable chiral model, related to the Bogomolny monopole equation and self-dual Yang-Mills, as a case study for higher-dimensional integrable scattering. Extended line solitons exhibit nontrivial scattering with lump solitons and with other line solitons, and N → N interactions can be factorised into a series of 2 → 2 interactions. Scattering between parallel line solitons in 3d is related to lump soliton scattering in 2d, allowing for direct comparison with results in 1+1d integrable field theories.

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Cite

BibTeXRIS
BibTeX
@misc{cole2026higherdimensional,
  title = {{Higher-Dimensional Integrable Scattering}},
  author = {Lewis T. Cole},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.04374},
  eprint = {2609.04374},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.04374},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Higher-Dimensional Integrable Scattering
AU  - Lewis T. Cole
PY  - 2026
DA  - 2026/09/03
PB  - arXiv
DO  - 10.48550/arxiv.2609.04374
UR  - https://arxiv.org/abs/2609.04374
AB  - This paper describes classical soliton scattering in the 2+1d integrable chiral model, related to the Bogomolny monopole equation and self-dual Yang-Mills, as a case study for higher-dimensional integrable scattering. Extended line solitons exhibit nontrivial scattering with lump solitons and with other line solitons, and N → N interactions can be factorised into a series of 2 → 2 interactions. Scattering between parallel line solitons in 3d is related to lump soliton scattering in 2d, allowing for direct comparison with results in 1+1d integrable field theories.
ER  -