Geometry and kinematics of two Skyrmions

DOI10.1007/BF02096649zbMath0778.53051MaRDI QIDQ1803540

Nicholas S. Manton, Michael F. Atiyah

Publication date: 29 June 1993

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

zbMATH Keywords

gradient flowYang-Mills instantonspotential energy functioncomplex projective 3-space

Mathematics Subject Classification ID

Strong interaction, including quantum chromodynamics (81V05) Dynamics induced by flows and semiflows (37C10) Applications of differential geometry to physics (53Z05)

Related Items (29)

Cooking pasta with Lie groups ⋮ A unified construction of Skyrme-type non-linear sigma models via the higher dimensional Landau models ⋮ A model for gauged skyrmions with low binding energies ⋮ ADHM polytopes ⋮ The mathematics of thin structures ⋮ The relativistic geometry and dynamics of electrons ⋮ ADHM skyrmions ⋮ Geometric models of matter ⋮ Rational Skyrmions ⋮ Moduli space with a boundary ⋮ Anyons in geometric models of matter ⋮ Existence theorems for 90° vortex–vortex scattering ⋮ On the structure of Yang–Mills fields in compactified Minkowski space ⋮ Scattering of Skyrmions ⋮ Matryoshka Skyrmions ⋮ Higgs structures of dyonic instantons ⋮ Quantum soliton scattering manifolds ⋮ Large scale and large period limits of symmetric calorons ⋮ Nucleon-nucleon potential from skyrmion dipole interactions ⋮ Solutions of a two-dimensional Skyrme model on Aff(\(\mathbb{R}\)) ⋮ Skyrmions, instantons and holography ⋮ Multi-soliton dynamics in the Skyrme model ⋮ Skyrmions in a truncated BPS theory ⋮ Scattering of nucleons in the classical Skyrme model ⋮ Yang–Mills instanton sheaves with higher topological charges ⋮ Instanton moduli and topological soliton dynamics ⋮ A consistent two-skyrmion configuration space from instantons ⋮ Sphaleron solutions of the Skyrme model from Yang-Mills holonomy ⋮ Constrained instanton approximation of skyrmions with massive pions

Cites Work

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• A remark on the scattering of BPS monopoles.
• Arbitrary N-vortex solutions to the first order Ginzburg-Landau equations
• Vortex scattering
• Stable vector bundles and instantons
• Closed geodesics on the space of stable two-monopoles
• The quotient space of the complex projective plane under conjugation is a 4-sphere
• A model unified field equation
• Deformations of instantons

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