Kink Form Factors

Abstract

We use a recently constructed linearized soliton sector perturbation theory to calculate the form factors relevant to the elastic scattering of ultrarelativistic mesons off of nonrelativistic kinks. Both localized kink wave packets and also delocalized momentum eigenstate kinks are considered. In the delocalized case, the leading term is just the classical kink solution, as was found by Goldstone and Jackiw. The leading delocalized quantum correction agrees with that found by Gervais, Jevicki and Sakita in the ${\varphi }^4$ model and Weisz in the Sine-Gordon model. In the case of localized kink wave packets, some corrections are found which scale with the wave packet width, and so will be relevant for the coherent scattering of mesons off of kink wave packets.

31 pages, no figures

References in corpus (8)

• Could the primordial radiation be responsible for vanishing of topological defects?
• Two-Loop Scalar Kinks
• Quantum Corrections to Soliton Energies
• Spectral Walls at One Loop
• The Forced Soliton Equation and Semiclassical Soliton Form Factors
• Excited Kinks as Quantum States
• Moving Kinks and Their Wave Packets
• Removing Tadpoles in a Soliton Sector

Cited by in corpus (1)

• Leading Quantum Correction to the ${\Phi }^4$ Kink Form Factor