Ginzburg-Landau equations and their generalizations

DOI10.1016/j.indag.2022.11.004OpenAlexW4310937032MaRDI QIDQ2684669

Armen Glebovich Sergeev

Publication date: 16 February 2023

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.00632

zbMATH Keywords

vorticesGinzburg-Landau equationSeiberg-Witten equationsadiabatic limit

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Statistical mechanics of superconductors (82D55) Ginzburg-Landau equations (35Q56)

Cites Work

• Justification of the adiabatic principle for hyperbolic Ginzburg-Landau equations
• A remark on the scattering of BPS monopoles.
• Monopoles, duality and chiral symmetry breaking in \(N=2\) supersymmetric QCD
• Vortices in holomorphic line bundles over closed Kähler manifolds
• 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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