Low energy dynamics of vibrating Kinks

2025/10/16 by J. Mateos Guilarte, Guilarte, J. Mateos
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Photonic Systems #Quantum Mechanics and Non-Hermitian Physics

paper · pdf · doi:10.48550/arxiv.2510.14883

openalex publication_date 2025/10/16 · openalex created_date 2025/10/18 · openalex updated_date 2026/07/28

Abstract

Low energy dynamics of Kinks and Kink-AntiKink configurations in the Jackiw-Rebbi model is fully described. The strategy is based in the Collective Coordinates adiabatic approach. The necessary solution of Quantum Mechanical spectral problems, both for scalar and spinorial wave functions, is unveiled as an intermediate step.

Citations

• Wobbling kinks in a two-component scalar field theory: Interaction between shape modes
• Soliton Fermionic number from the heat kernel expansion
• The Kink variety in systems of two coupled scalar fields in two space-time dimensions

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