The non-topological fluxes of a two-particle system in the Chern-Simons theory

DOI10.1016/j.jde.2014.02.006zbMath1286.81149OpenAlexW2021572095MaRDI QIDQ2441981

Jann-Long Chern, Sze-Guang Yang

Publication date: 31 March 2014

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2014.02.006

Mathematics Subject Classification ID

Unified quantum theories (81V22) Yang-Mills and other gauge theories in quantum field theory (81T13) Soliton equations (35Q51) Topological field theories in quantum mechanics (81T45) Soliton solutions (35C08)

Related Items (4)

The solution structure of the O(3) sigma model in a Maxwell-Chern-Simons theory ⋮ Uniqueness of positive solutions to some coupled cooperative variational elliptic systems ⋮ The domain geometry and the bubbling phenomenon of rank two gauge theory ⋮ Bubbling solutions for a skew-symmetric Chern-Simons system in a torus

Cites Work

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• Uniqueness of topological solutions and the structure of solutions for the Chern-Simons system with two Higgs particles
• Qualitative properties of solutions to some nonlinear elliptic equations in \(\mathbb{R}^2\)
• Non-topological multi-vortex solutions to the self-dual Chern-Simons-Higgs equation
• Conformally invariant systems of nonlinear PDE of Liouville type
• A system of elliptic equations arising in Chern-Simons field theory
• Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)e^uin two dimensions
• Local Exact Boundary Controllability of the Boussinesq Equation
• The existence of non-topological multivortex solutions in the relativistic self-dual Chern-Simons theory

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