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

Abstract

Recently, Jarah has constructed the kink form factor relevant to the scattering of an ultrarelativistic meson with an arbitrary nonrelativistic scalar kink. However the formula was only applied to the Sine-Gordon model, where the form factor was long ago determined by Weisz using integrability. In this paper, using various known analytic results for the (1+1)-dimensional real scalar ${\Phi }^4$ model and a kink wave packet construction, we analytically calculate the leading quantum correction to the form factor of the ${\Phi }^4$ kink. We discuss its properties in general and also in the ultra-relativistic meson case and provide a numerical check of our results.

arXiv comment21 pages, 2 figures

References in corpus (11)

• The Discrete Frenet Frame, Inflection Point Solitons And Curve Visualization with Applications to Folded Proteins
• Domain Walls as Dark Energy
• Manifestly Finite Derivation of the Quantum Kink Mass
• Two-Loop Scalar Kinks
• Gauge symmetries and structure of proteins
• The Two-Loop ${\varphi }^4$ Kink Mass
• Wave-Packet Scattering off the Kink-Solution
• Collective Coordinate Methods and Their Applicability to ${\phi }^4$ Models
• An introduction to kinks in ${\phi }^4$-theory
• Moving Kinks and Their Wave Packets
• Kink Form Factors

Cited by in corpus (1)

• A Reduced Inner Product for Kink States