Renormalized energy for Ginzburg-Landau vortices on closed surfaces

DOI10.1007/PL00004303zbMath0871.49035OpenAlexW2016779150WikidataQ124883081 ScholiaQ124883081MaRDI QIDQ1358234

Jie Qing

Publication date: 3 July 1997

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00004303

zbMATH Keywords

variational problemharmonic maprenormalized energyclosed Riemann surface

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Yang-Mills and other gauge theories in quantum field theory (81T13) Perturbations of PDEs on manifolds; asymptotics (58J37) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items (9)

Renormalized energy between vortices in some Ginzburg-Landau models on 2-dimensional Riemannian manifolds ⋮ The Yang-Mills-Higgs functional on complex line bundles: \(\Gamma\)-convergence and the London equation ⋮ Ginzburg-Landau equations on non-compact Riemann surfaces ⋮ Maxwell-Chern-Simons vortices on compact surfaces: Nonequivalence of the first and the second order equations ⋮ ZEROS OF WAVE FUNCTIONS IN GINZBURG–LANDAU MODEL FOR SMALL ∊ ⋮ CRITICAL POINTS OF YANG–MILLS–HIGGS FUNCTIONAL ⋮ Prescribing zeros and poles on a compact Riemann surface for a gravitationally coupled Abelian gauge field theory ⋮ Defects in nematic shells: a \(\Gamma\)-convergence discrete-to-continuum approach ⋮ Ginzburg-Landau equations on Riemann surfaces of higher genus

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