The geodesic approximation for lump dynamics and coercivity of the Hessian for harmonic maps

DOI10.1063/1.1586480zbMath1062.58021arXivhep-th/0301148OpenAlexW1991431539MaRDI QIDQ4833069

J. M. Speight, Mark Haskins

Publication date: 14 December 2004

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

Full work available at URL: https://arxiv.org/abs/hep-th/0301148

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Harmonic maps, etc. (58E20)

Related Items (5)

The adiabatic limit of wave map flow on a two-torus ⋮ Quantum lump dynamics on the two-sphere ⋮ Dynamics of \(\mathbb CP^1\) lumps on a cylinder ⋮ Analysis of the adiabatic limit for solitons in classical field theory ⋮ Adiabatic limit and the slow motion of vortices in a Chern-Simons-Schrödinger system

Cites Work

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• A remark on the scattering of BPS monopoles.
• Sigma model solitons and their moduli space metrics
• Vortex scattering
• Lump dynamics in the \(\mathbb{C} P^1\) model on the torus
• Volume of vortex moduli spaces
• Dynamics of Abelian Higgs vortices in the near Bogomolny regime
• The geodesic approximation for the Yang-Mills-Higgs equations
• Geodesic incompleteness in the \(\mathbb{C} P^1\) model on a compact Riemann surface
• Formation of singularities for equivariant (2+1)-dimensional wave maps into the 2-sphere
• Jacobi Fields Along Harmonic 2-Spheres in CP ² are Integrable
• Fast and slow blowup in theS²σ-model and the (4+1)-dimensional Yang-Mills model
• Low-energy dynamics of a C P1 lump on the sphere

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