Forced Soliton Equation and Semiclassical Soliton Form Factors
Ilarion V. Melnikov, Constantinos Papageorgakis, Andrew B. Royston
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.
Topics & Concepts
Semiclassical physicsConcretenessPhysicsSolitonContext (archaeology)Classical mechanicsWork (physics)Momentum (technical analysis)Quantum mechanicsQuantum electrodynamicsQuantumMathematical physicsNonlinear systemBiologyPaleontologyCognitive psychologyFinanceEconomicsPsychologyNonlinear Waves and SolitonsNonlinear Photonic SystemsAdvanced Mathematical Physics Problems