Semi-nonrelativistic limit of the Chern–Simons–Higgs system

DOI10.1063/1.3179159zbMath1342.81266OpenAlexW1991831869MaRDI QIDQ3069143

Myeongju Chae, Hyungjin Huh

Publication date: 24 January 2011

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

Full work available at URL: https://doi.org/10.1063/1.3179159

zbMATH Keywords

Schrödinger equationChern-Simons theoryLagrangian field theory

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)

Related Items (3)

Unnamed Item ⋮ Existence of nontopological solutions for the generalized Maxwell-Chern-Simons-Higgs model ⋮ Existence of solitary waves for non-self-dual Chern-Simons-Higgs equations in \(\mathbb{R}^{2 + 1} \)

Cites Work

• Local and global solutions of the Chern-Simons-Higgs system
• The Cauchy problem for coupled Yang-Mills and scalar fields in the temporal gauge
• (Semi)-nonrelativistic limits of the Dirac equation with external time-dependent electromagnetic field
• Global existence in the Cauchy problem of the relativistic Chern-Simons-Higgs theory
• Nonrelativistic approximation of nonlinear Klein-Gordon equations in two space dimensions
• Nonrelativistic limit of Klein-Gordon-Maxwell to Schrodinger-Poisson
• Soliton solutions to the gauged nonlinear Schrödinger equation on the plane
• Self-dual Chern-Simons vortices
• Multivortex solutions of the Abelian Chern-Simons-Higgs theory
• Blowing up time-dependent solutions of the planar, Chern-Simons gauged nonlinear Schrodinger equation
• NONRELATIVISTIC LIMIT IN THE SELF-DUAL ABELIAN CHERN-SIMONS MODEL
• Low regularity solutions of the Chern–Simons–Higgs equations

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