Existence and asymptotics of topological solutions in the self-dual Maxwell-Chern-Simons \(O(3)\) sigma model

DOI10.1016/j.jde.2010.08.003zbMath1204.81116OpenAlexW1986439883MaRDI QIDQ616469

Jongmin Han, Kyungwoo Song

Publication date: 10 January 2011

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

Full work available at URL: https://doi.org/10.1016/j.jde.2010.08.003

zbMATH Keywords

Maxwell-Chern-Simons \(O(3)\) sigma modelself-dual equationtopological solution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Model quantum field theories (81T10) Yang-Mills and other gauge theories in quantum field theory (81T13)

Related Items (14)

Topological solutions for the self-dual Chern-Simons $CP(1)$ model with large Chern-Simons coupling constant ⋮ Multiplicity for Self-Dual Condensate Solutions in the Maxwell-Chern-SimonsO(3) Sigma Model ⋮ On the asymptotic behavior of solutions for the self-dual Maxwell-Chern-Simons \(O(3)\) sigma model ⋮ The solution structure of the O(3) sigma model in a Maxwell-Chern-Simons theory ⋮ Topological multi-vortex solutions of the Maxwell-Chern-Simons-Higgs model with a background metric ⋮ Chern-Simons deformation of vortices on compact domains ⋮ Bubbling solutions for the Chern-Simons gauged \(O(3)\) sigma model on a torus ⋮ Topological solutions of the self-dual equations for the generalized Maxwell-Chern-Simons-Higgs model ⋮ On the topological solutions with vortices and antivortices for the Maxwell-Chern-Simons \(O(3)\) sigma model on a torus ⋮ Condensate solutions of the self-dual \(O\)(3) Maxwell-Chern-Simons-Higgs equations with symmetric vacua ⋮ The analysis of solutions for Maxwell-Chern-Simons \(O(3)\) sigma model ⋮ Classification of solutions for self-dual Chern–Simons CP(1) model ⋮ Nontopological solutions in the self-dual Maxwell-Chern-Simons gauged \(O(3)\) sigma model ⋮ Global existence and nonrelativistic limit for the Vlasov-Maxwell-Chern-Simons system

Cites Work

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• On the condensate multivortex solutions of the self-dual Maxwell-Chern-Simons \(\mathbb{CP}(1)\) model

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