Existence of dyons in minimally gauged Skyrme model via constrained minimization

DOI10.1016/J.JFA.2012.01.024zbMath1242.81106arXiv1107.0101OpenAlexW1981611511MaRDI QIDQ413207

Zhifeng Gao, Yisong Yang

Publication date: 4 May 2012

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.0101

zbMATH Keywords

weak convergencedyonstopological invariantsmonopolesgauge fieldsconstraintselectromagnetismSkyrme modelcalculus of variations for indefinite action functional

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Electromagnetic interaction; quantum electrodynamics (81V10) Quantum stochastic calculus (81S25) General mathematical topics and methods in quantum theory (81Q99) Electromagnetic theory (general) (78A25) Variational principles of physics (49S05)

Related Items (2)

Existence of U(1) gauged Q-balls for a field model with sixth-order potential ⋮ Existence of charged vortices in a Maxwell-Chern-Simons model

Cites Work

• Existence of dyons in the coupled Georgi-Glashow-Skyrme model
• An introduction to the confinement problem
• The existence of a non-minimal solution to the SU(2) Yang-Mills-Higgs equations on \(R^ 3.\) II
• A theorem on the existence of dyon solutions
• Critical point theorems for indefinite functionals
• A system of elliptic equations arising in Chern-Simons field theory
• Monopoles and dyons in SO(3) gauged Skyrme models
• Supersymmetric solitons
• Dually charged particl–like solutions in the Weinberg–Salam theory
• Quantised singularities in the electromagnetic field,
• Dyon-Skyrmion lumps
• Topological Solitons
• Critical and subcritical elliptic systems in dimension two
• Electrically and magnetically charged vortices in the Chern–Simons–Higgs theory
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