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Numerical Evaluation of a Soliton Pair with Long Range Interaction

2022/10/24 by Joachim Wabnig, Wabnig, Joachim, Josef Resch +7
Engineering · Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Nonlinear Photonic Systems #Numerical methods for differential equations #Particle Accelerators and Free-Electron Lasers

paper · pdf · doi:10.48550/arxiv.2210.13374

openalex publication_date 2022/10/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Within the model of topological particles (MTP) we determine the interaction energy of monopole pairs, sources and sinks of a Coulombic field. The monopoles are represented by topological solitons of finite size and mass, described by a field without any divergences. We fix the soliton centres in numerical calculations at varying distance. Due to the finite size of the solitons we get deviations from the Coulomb potential at distances of a few soliton radii. We compare the numerical results for these deviations with the running of the coupling in perturbative QED.

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