Multiple condensate solutions for the Chern–Simons–Higgs theory
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Publication:5284825
DOI10.1063/1.531601zbMath0863.58081OpenAlexW2080861267MaRDI QIDQ5284825
Publication date: 3 June 1997
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.531601
Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of global analysis to the sciences (58Z05)
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Cites Work
- The existence of Chern-Simons vortices
- Bosonization, topological solitons and fractional charges in two- dimensional quantum field theory
- On the equivalence of the first and second order equations for gauge theories
- Arbitrary N-vortex solutions to the first order Ginzburg-Landau equations
- A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description
- The existence of non-topological solitons in the self-dual Chern-Simons theory
- Meilleures constantes dans le théorème d'inclusion de Sobolev et un théorème de Fredholm non linéaire pour la transformation conforme de la courbure scalaire
- Quantum field theories of vortices and anyons
- Dual variational methods in critical point theory and applications
- Statistical mechanics of classical particles with logarithmic interactions
- Self-dual Chern-Simons vortices
- Multivortex solutions of the Abelian Chern-Simons-Higgs theory