Scaling Identities for Solitons beyond Derrick's Theorem

Abstract

New integral identities satisfied by topological solitons in a range of classical field theories are presented. They are derived by considering independent length rescalings in orthogonal directions, or equivalently, from the conservation of the stress tensor. These identities are refinements of Derrick's theorem.

10 pages

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• A Monopole-Antimonopole Solution of the SU(2) Yang-Mills-Higgs Model
• Skyrmions and the alpha-particle model of nuclei
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• Compressibility of dense nuclear matter in the $\rho$-meson variant of the Skyrme model
• Non-existence of non-topological solitons in some types of gauge field theories in Minkowski space