Small data global existence and decay for relativistic Chern-Simons equations

DOI10.1007/s00023-016-0547-9zbMath1383.81134arXiv1512.03039OpenAlexW2964125673MaRDI QIDQ2364611

Myeongju Chae, Sung-Jin Oh

Publication date: 21 July 2017

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.03039

zbMATH Keywords

Chern-Simons-DiracChern-Simons-Higgsdecay rate estimatesgauge covariant ODEKlainerman's vector field methodrelativistic gauge theoriesscalar multiplet field

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Eta-invariants, Chern-Simons invariants (58J28) Open systems, reduced dynamics, master equations, decoherence (81S22)

Related Items (max. 100)

Local well-posedness of non-abelian Chern-Simons-Higgs system in the Lorenz gauge ⋮ Global solution for massive Maxwell-Klein-Gordon equations with large Maxwell field ⋮ Low regularity solutions to the non-abelian Chern-Simons-Higgs system in the Lorenz gauge ⋮ Finite difference methods for the one-dimensional Chern-Simons gauged models

Cites Work

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• Global wellposedness of the equivariant Chern-Simons-Schrödinger equation
• The global stability of the Minkowski spacetime solution to the Einstein-nonlinear system in wave coordinates
• Fractional and semi-local non-Abelian Chern-Simons vortices
• The existence of Chern-Simons vortices
• Local and global solutions of the Chern-Simons-Higgs system
• Cauchy problem for the Fermion field equation coupled with the Chern-Simons gauge
• The global stability of Minkowski space-time in harmonic gauge
• Connections with \(L^ p \)bounds on curvature
• The existence of non-topological solitons in the self-dual Chern-Simons theory
• The relativistic non-Abelian Chern-Simons equations
• Vacuum mass spectra for \(\text{SU}(N)\) self-dual Chern-Simons-Higgs systems
• Asymptotic properties of solutions of the Maxwell Klein Gordon equation with small data
• Global existence of small solutions for quadratic quasilinear Klein-Gordon systems in two space dimensions
• Topological solutions in the self-dual Chern-Simons theory: Existence and approximation
• Global well-posedness of the Chern-Simons-Higgs equations with finite energy
• Non-Abelian Chern-Simons vortices with generic gauge groups
• Self-dual symmetric nontopological solutions in the \(\mathrm{SU}(3)\) model in \(\mathbb R^2\)
• Towards the Chern-Simons-Higgs equation with finite energy
• Finite energy global well-posedness of the Yang-Mills equations on \(\mathbb{R}^{1+3}\): an approach using the Yang-Mills heat flow
• A remark on asymptotic completeness for the critical nonlinear Klein-Gordon equation
• A note on the Chern-Simons-Dirac equations in the Coulomb gauge
• On the entire radial solutions of the Chern-Simons SU(3) system
• Low regularity solutions to the Chern-Simons-Dirac and the Chern-Simons-Higgs equations in the Lorenz gauge
• Global well-posedness in energy space for the Chern–Simons–Higgs system in temporal gauge
• Lie Groups
• Bubbling Solutions for the SU(3) Chern-Simons Model on a Torus
• The nonlinear stability of the trivial solution to the Maxwell-Born-Infeld system
• Local Wellposedness of Chern–Simons–Schrödinger
• Global existence in the Cauchy problem of the relativistic Chern-Simons-Higgs theory
• Global stability for charged-scalar fields on Minkowski space
• Decay and Scattering for the Chern–Simons–Schrödinger Equations
• Global existence of small amplitude solutions to nonlinear klein-gordon equations in four space-time dimensions
• Uniform decay estimates and the lorentz invariance of the classical wave equation
• Nonlinear Schrödinger evolution equations
• Asymptotic behavior of the solutions of maxwell—klein—gordon field equations in 4—dimensional minkowski space
• Self-dual Chern-Simons vortices
• Multivortex solutions of the Abelian Chern-Simons-Higgs theory
• Maxwell–Dirac Equations in Four-Dimensional Minkowski Space
• Blowing up time-dependent solutions of the planar, Chern-Simons gauged nonlinear Schrodinger equation
• Self-Dual Chern-Simons Theories
• WELL-POSEDNESS OF THE CAUCHY PROBLEM FOR THE CHERN–SIMONS–DIRAC SYSTEM IN TWO DIMENSIONS
• GAUGE CHOICE FOR THE YANG–MILLS EQUATIONS USING THE YANG–MILLS HEAT FLOW AND LOCAL WELL-POSEDNESS IN H¹
• Scattering and small data completeness for the critical nonlinear Schrödinger equation
• Vortex condensates for the SU(3) Chern-Simons theory
• The existence of non-topological multivortex solutions in the relativistic self-dual Chern-Simons theory

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