4.4 Article

Scaling identities for solitons beyond Derrick's theorem

Journal

JOURNAL OF MATHEMATICAL PHYSICS
Volume 50, Issue 3, Pages -

Publisher

AMER INST PHYSICS
DOI: 10.1063/1.3089582

Keywords

classical field theory; gauge field theory; integral equations; solitons; tensors; topology

Funding

  1. Science and Technology Facilities Council [ST/G000581/1] Funding Source: researchfish
  2. STFC [ST/G000581/1] Funding Source: UKRI

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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.

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