The Cauchy problem for the O(N). CP(N-1), and GC(N,p) models

DOI10.1016/0003-4916(82)90077-XzbMath0512.58018OpenAlexW2033545092MaRDI QIDQ1049981

Jean Ginibre, Giorgio Velo

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0003-4916(82)90077-x

zbMATH Keywords

regularity conditionsMinkowski space-timenon-abelian gauge theorieselementary particle processes

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Applications of global differential geometry to the sciences (53C80) Geometric quantization (53D50)

Related Items (18)

Global existence for wave maps with torsion ⋮ On harmonic maps from R1,1 into Hilbert loop groups ⋮ On the Cauchy Problem for a Dynamical Euler's Elastica ⋮ Global weak solutions of the wave map system to compact homogeneous spaces ⋮ Ergodicity for a stochastic geodesic equation in the tangent bundle of the 2D sphere ⋮ Stochastic geometric wave equations with values in compact Riemannian homogeneous spaces ⋮ On the full bosonic string from Minkowski space to Riemannian manifolds ⋮ Global existence for solutions of \(\square u=A| u| ^ p\) ⋮ Equivariant harmonic maps between manifolds with metrics of \((p,q)\)-signature ⋮ Strong solutions to stochastic wave equations with values in Riemannian manifolds ⋮ Low regularity solutions for the wave map equation into the 2-D sphere ⋮ On harmonic maps into gauge groups ⋮ Unnamed Item ⋮ Weak Solutions to Stochastic Wave Equations with Values in Riemannian Manifolds ⋮ The wave maps equation ⋮ Breathers as homoclinic geometric wave maps ⋮ On global existence of solutions to nonlinear wave equations of wave map type ⋮ The global existence of time-dependent vortex solutions

Cites Work

• The Cauchy problem for the Yang-Mills equations
• Classical solutions in Grassmannian sigma-models
• Local theory of solutions for the \(0(2k+1)\sigma\)-model
• The Cauchy problem for coupled Yang-Mills and scalar fields in the temporal gauge
• Some global solutions of the Yang-Mills equations in Minkowski space
• The global existence of Yang-Mills-Higgs fields in 4-dimensional Minkowski space. II. Completion of proof
• Integrable Hamiltonian systems and interactions through quadratic constraints
• Non-linear semi-groups
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