Forced Soliton Equation and Semiclassical Soliton Form Factors

Ilarion V. Melnikov, Constantinos Papageorgakis, Andrew B. Royston

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


We show that the leading semiclassical behavior of soliton form factors at arbitrary momentum transfer is controlled by solutions to a new wavelike integro-differential equation that describes solitons undergoing acceleration. We work in the context of two-dimensional linear σ models with kink solitons for concreteness, but our methods are purely semiclassical and generalizable.

Original languageEnglish (US)
Article number231601
JournalPhysical review letters
Issue number23
StatePublished - Dec 1 2020

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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