On the existence of minima in the Skyrme model

2002/12/05 by Bernd J. Schroers, B J Schroers, Schroers, B J
Computer Science · Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #hep-th #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.hep-th/0212076

11 pages amslatex, talk given at the workshop on Integrable theories, Solitons and Duality, Sao Paulo, July 2002

arxiv created 2002/12/05 · openalex publication_date 2002/12/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Well-separated Skyrme solitons of arbitrary degree attract after a suitable relative rotation in space and iso-space, provided the orders of the solitons' leading multipoles do not differ by more than two. I summarise the derivation of this result, obtained jointly with Manton and Singer, and discuss to what extent its combination with earlier results of Esteban allows one to deduce the existence of minima of the Skyrme energy functional.

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