Adiabatic limit in the Ginzburg-Landau and Seiberg-Witten equations

DOI10.1134/S008154381504015XzbMath1351.35203OpenAlexW1995492543MaRDI QIDQ5890632

Armen Glebovich Sergeev

Publication date: 10 May 2016

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s008154381504015x

zbMATH Keywords

vorticesSeiberg-Witten invariantsSeiberg-Witten equationsGinzburg-Landau equationsabelian Higgs modelcomplex timeTaubes approach

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) PDEs in connection with quantum mechanics (35Q40) Applications of global analysis to structures on manifolds (57R57) Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants) (14J80) Ginzburg-Landau equations (35Q56)

Related Items (10)

Superstring limit of Yang-Mills theories ⋮ Seiberg-Witten theory as a complex version of abelian Higgs model ⋮ \( \text{Spin}^c\)-structures and Seiberg-Witten equations ⋮ Adiabatic limit in Ginzburg-Landau and Seiberg-Witten equations ⋮ Ginzburg-Landau equations and their generalizations ⋮ Sigma-model limit of Yang-Mills instantons in higher dimensions ⋮ Scattering of Ginzburg-Landau vortices ⋮ A low-energy limit of Yang-Mills theory on de Sitter space ⋮ Non-abelian sigma models from Yang-Mills theory compactified on a circle ⋮ Adiabatic Limit in Yang–Mills Equations in R⁴

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