The noncommutative sine-Gordon breather

DOI10.1063/1.3093825zbMath1241.81126arXiv0811.1048OpenAlexW2040425488MaRDI QIDQ3583581

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Publication date: 17 August 2010

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

Full work available at URL: https://arxiv.org/abs/0811.1048

zbMATH Keywords

solitonsYang-Mills theorysine-Gordon modelnoncommutative field theory

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Model quantum field theories (81T10) Noncommutative geometry methods in quantum field theory (81T75) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Cites Work

• Unnamed Item
• Time-space noncommutative abelian solitons
• Integrable noncommutative sine-Gordon model
• Classical solutions of the chiral model, unitons, and holomorphic vector bundles
• Noncommutative instantons and solitons
• Some reductions of the self-dual Yang–Mills equations to integrable systems in 2+1 dimensions
• Scattering of noncommutative solitons in \(2+1\) dimensions

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