Existence theorems for \(\pi/n\) vortex scattering

DOI10.1007/BF00943283zbMath0845.35095arXivhep-th/9503010OpenAlexW2021545249MaRDI QIDQ1912354

Yanyan Li

Publication date: 6 May 1996

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9503010

zbMATH Keywords

Cauchy problemAbelian-Higgs modelscattering of \(n\) vorticesscattering processes of soliton-like objectsunique global finite-energy solution

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) PDEs in connection with quantum mechanics (35Q40) (S)-matrix theory, etc. in quantum theory (81U20) Cauchy-Kovalevskaya theorems (35A10)

Related Items

The dynamics of vortices on S2 near the Bradlow limit, Vortices on orbifolds, Scattering of vortices in the Abelian Higgs model

Cites Work

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• Dynamics of Abelian Higgs vortices in the near Bogomolny regime
• Non-linear semi-groups
• The global existence of time-dependent vortex solutions
• Existence theorems for 90° vortex–vortex scattering