Thermodynamics of vortices in the plane

DOI10.1063/1.530633zbMath0799.32019arXivhep-th/9307165OpenAlexW2002884980MaRDI QIDQ4300201

P. A. Shah, Nicholas S. Manton

Publication date: 31 July 1994

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

Full work available at URL: https://arxiv.org/abs/hep-th/9307165

zbMATH Keywords

solitonstorusmoduli spaceAbelian Higgs model

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Applications of deformations of analytic structures to the sciences (32G81) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15)

Related Items

The spectrum of Bogomol'nyi solitons in gauged linear sigma models, Integrability of vortex equations on Riemann surfaces, On the late phase of relaxation of two-dimensional fluids: turbulence of unitons, Statistical mechanics of vortices from D-branes and \(T\)-duality, Non-Abelian vortices on Riemann surfaces: An integrable case, Phase transitions in a vortex gas., Hydrodynamics of defects in the Abelian-Higgs model: an application to nematic liquid crystals.

Cites Work

• A remark on the scattering of BPS monopoles.
• Vortex scattering
• Statistical mechanics of vortices
• Vortices in holomorphic line bundles over closed Kähler manifolds