发表机构
School of Mathematics and Maxwell Institute for Mathematical Sciences, University of Edinburgh（爱丁堡大学数学学院与麦克斯韦数学科学研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文以2+1维可积手征模型的孤子散射为案例研究高维可积散射，发现N→N相互作用可分解为2→2相互作用，且3维平行线孤子散射可与1+1维可积场论结果对比。
AI 中文摘要
本文以2+1维可积手征模型中的经典孤子散射为案例，该模型与Bogomolny单极方程及自对偶杨-米尔斯理论相关，用于研究高维可积散射。扩展线孤子与 lump 孤子、其他线孤子会发生非平凡散射，N→N相互作用可分解为一系列2→2相互作用。3维中平行线孤子间的散射与2维中lump孤子散射相关，可直接与1+1维可积场论的结果对比。
英文摘要
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 $N \to N$ interactions can be factorised into a series of $2 \to 2$ 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.
Comments34 pages, 9 figures
