Adiabatic limit in Ginzburg-Landau and Seiberg-Witten equations

DOI10.1134/S004057792004011XzbMath1452.35199OpenAlexW3023449522MaRDI QIDQ2193722

Armen Glebovich Sergeev

Publication date: 20 August 2020

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s004057792004011x

zbMATH Keywords

Ginzburg-Landau equationSeiberg-Witten equationadiabatic limitabelian Higgs modelpseudoholomorphic curve

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Yang-Mills and other gauge theories in quantum field theory (81T13) Statistical mechanics of superconductors (82D55) Applications of differential geometry to physics (53Z05) Initial value problems for higher-order hyperbolic equations (35L30) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15) Ginzburg-Landau equations (35Q56)

Cites Work

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• Justification of the adiabatic principle for hyperbolic Ginzburg-Landau equations
• A remark on the scattering of BPS monopoles.
• Justification of the adiabatic principle in the Abelian Higgs model
• SW ⇒ Gr: From the Seiberg-Witten equations to pseudo-holomorphic curves
• Adiabatic limit in the Ginzburg-Landau and Seiberg-Witten equations

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