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arXiv:2507.10686v1 (math)
[Submitted on 14 Jul 2025 ]

Title: Global minimality of the Hopf map in the Faddeev-Skyrme model with large coupling constant

Title: 大耦合常数下 Faddeev-Skyrme 模型中 Hopf 映射的全局最小性

Authors:André Guerra, Xavier Lamy, Konstantinos Zemas
Abstract: We prove that, modulo rigid motions, the Hopf map is the unique minimizer of the Faddeev--Skyrme energy in its homotopy class, for a sufficiently large coupling constant.
Abstract: 我们证明,模刚体运动而言,在耦合常数足够大的情况下,Hopf映射是其同伦类中Faddeev-Skyrme能量的唯一最小值。
Comments: 22 pages
Subjects: Analysis of PDEs (math.AP) ; Mathematical Physics (math-ph)
MSC classes: 26D10, 30C70, 49Q20
Cite as: arXiv:2507.10686 [math.AP]
  (or arXiv:2507.10686v1 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.2507.10686
arXiv-issued DOI via DataCite

Submission history

From: Konstantinos Zemas [view email]
[v1] Mon, 14 Jul 2025 18:03:48 UTC (37 KB)
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