Forced Soliton Equation and Semiclassical Soliton Form Factors

Forced Soliton Equation and Semiclassical Soliton Form Factors

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 solit...

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Veröffentlicht in:Physical review letters 2020-12, Vol.125 (23), p.231601-231601, Article 231601
Hauptverfasser: Melnikov, Ilarion V, Papageorgakis, Constantinos, Royston, Andrew B
Format: Artikel
Sprache:eng
Schlagworte:
Differential equations
Form factors
Momentum transfer
Solitary waves
Two dimensional models
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Zusammenfassung: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.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.125.231601