The existence of nontopological vortices in a two-particle Chern–Simons system

DOI10.1063/1.3124768zbMath1187.81183OpenAlexW1964995828MaRDI QIDQ3565276

Sze-Guang Yang

Publication date: 3 June 2010

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3124768

zbMATH Keywords

perturbation theoryChern-Simons theoryHiggs model

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Yang-Mills and other gauge theories in quantum field theory (81T13)

Related Items (1)

The existence and asymptotics of solutions for the abelian Chern-Simons system with two Higgs fields and two gauge fields

Cites Work

• Qualitative properties of solutions to some nonlinear elliptic equations in \(\mathbb{R}^2\)
• Rotational symmetry of solutions of some nonlinear problems in statistical mechanics and in geometry
• On the solutions of Liouville systems
• 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
• The existence of non-topological multivortex solutions in the relativistic self-dual Chern-Simons theory

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