Some novel considerations about the collective coordinates approximation for the scattering of ϕ⁴ kinks

2020/04/01 by C. F. S. Pereira, Gabriel Luchini, Pereira, Carlos F. S. +5
Engineering · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Photonic Systems #Orbital Angular Momentum in Optics #Pattern Formation and Solitons (nlin.PS) #Plasmonic and Surface Plasmon Research

paper · pdf · doi:10.48550/arxiv.2004.00571

openalex publication_date 2020/04/01 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

The collective coordinates approximation for the kink/anti-kink scattering in the 1+1 dimensional ϕ⁴ model is considered and we discuss how the results found in the current literature on the topic can be improved by giving the analytical expression for the lagrangian in the space of parameters. A comprehensive discussion of the role of the collective coordinates approximation in this particular situation is given for completeness.

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