On the existence of minima in the Skyrme model

Details On the existence of minima in the Skyrme model On the existence of minima in the Skyrme model

2002-12-05

arxiv.org/abs/hep-th/0212076v1

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

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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