The geodesic approximation for the Yang-Mills-Higgs equations
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Publication:1344506
DOI10.1007/BF02099305zbMath0814.53052MaRDI QIDQ1344506
Publication date: 12 June 1995
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of differential geometry to physics (53Z05)
Related Items (26)
A generic framework of adiabatic approximation for nonlinear evolutions ⋮ Dynamics of vortices with magnetic impurities ⋮ The adiabatic limit of wave map flow on a two-torus ⋮ Superstring limit of Yang-Mills theories ⋮ Tetrahedral and cubic monopoles ⋮ Quantum lump dynamics on the two-sphere ⋮ Monopole scattering with a twist ⋮ The geodesic approximation for lump dynamics and coercivity of the Hessian for harmonic maps ⋮ Polyhedral scattering of fundamental monopoles ⋮ Towards a classification of charge-3 monopoles with symmetry ⋮ Dynamics of two interacting kinks for the \(\phi^6\) model ⋮ The \(L^{2}\) geometry of spaces of harmonic maps \(S^{2}\to S^2\) and \(\mathbb RP^2\to \mathbb RP^2\) ⋮ A low-energy limit of Yang-Mills theory on de Sitter space ⋮ Gravity thaws the frozen moduli of the \({\mathbb CP}^ 1\) lump. ⋮ Dynamics of \(\mathbb CP^1\) lumps on a cylinder ⋮ Monopole zeros ⋮ Analysis of the adiabatic limit for solitons in classical field theory ⋮ Localized solutions in a two-dimensional Landau-Lifshitz model ⋮ Supermembrane limit of Yang-Mills theory ⋮ Moduli spaces with external fields ⋮ Adiabatic approximation for the motion of Ginzburg-Landau vortex filaments ⋮ BPS Monopoles ⋮ Adiabatic limit and the slow motion of vortices in a Chern-Simons-Schrödinger system ⋮ A hyperbolic analogue of the Atiyah-Hitchin manifold ⋮ Boundary metrics on soliton moduli spaces ⋮ Solitons on pseudo-Riemannian manifolds I. The sine-Gordon equation
Cites Work
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- Stability in Yang-Mills theories
- Monopoles and Baker functions
- A remark on the scattering of BPS monopoles.
- The existence of a non-minimal solution to the SU(2) Yang-Mills-Higgs equations on \(R^ 3.\) I
- On the construction of monopoles
- Integrality of the monopole number in SU(2) Yang-Mills-Higgs theory on \({\mathbb{R}}^ 3\)
- Min-max theory for the Yang-Mills-Higgs equations
- Nahm's equations and the classification of monopoles
- Connections with \(L^ p \)bounds on curvature
- Monopoles and geodesics
- Dynamics of Abelian Higgs vortices in the near Bogomolny regime
- Closed geodesics on the space of stable two-monopoles
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