Forced Soliton Equation and Semiclassical Soliton Form Factors

Open Access

Forced Soliton Equation and Semiclassical Soliton Form Factors

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

Phys. Rev. Lett. 125, 231601 – Published 1 December 2020

Abstract

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.

Received 21 August 2020
Accepted 19 October 2020

DOI:https://doi.org/10.1103/PhysRevLett.125.231601

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

Published by the American Physical Society