The Forced Soliton Equation and Semiclassical Soliton Form Factors

TL;DR

This paper introduces a new wave-like integro-differential equation that governs the semiclassical behavior of soliton form factors during acceleration, applicable to two-dimensional models with kink solitons.

Contribution

It presents a novel equation describing semiclassical soliton form factors under acceleration, extending understanding of soliton dynamics in two-dimensional models.

Findings

Derived a new integro-differential equation for soliton form factors.

Showed the equation applies to arbitrary momentum transfer.

Applicable to models with kink solitons in two dimensions.

Abstract

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