The structure of the solution set for the Yang-Mills equations

DOI10.1017/S0305004100058813zbMath0462.53036OpenAlexW2101743996MaRDI QIDQ3913428

Judith M. Arms

Publication date: 1981

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100058813

zbMATH Keywords

spacetimestabilitysymmetric solutionssymmetry breakingCauchy surface

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Propagation of singularities; initial value problems on manifolds (58J47)

Related Items

INEQUIVALENT QUANTIZATIONS OF GAUGE THEORIES, The structure of the space of homogeneous Yang–Mills fields, Yang-Mills and Dirac fields in a bag, constraints and reduction, Gauge invariance, boundary conditions, and charges, The structure of the space of solutions of Einstein's equations. II: Several Killing fields and the Einstein-Yang-Mills equations, Singular symplectic cotangent bundle reduction of gauge field theory, Complexification of gauge theories, The York map as a Shanmugadhasan canonical transformation in tetrad gravity and the role of non-inertial frames in the geometrical view of the gravitational field, An elementary notion of gauge equivalence, Zero levels of momentum mappings for cotangent actions, Clebsch-Lagrange variational principle and geometric constraint analysis of relativistic field theories, Symmetry and gauge freedom, Reduction of homogeneous Yang-Mills fields, Symplectic connections and the linearisation of Hamiltonian systems, Background independence in gauge theories, Perturbations of conservation laws in field theories, The geometry of gauge fields, Rieffel induction as generalized quantum Marsden-Weinstein reduction, Regularity of constraints in the Minkowski space Yang-Mills theory

Cites Work

• Symmetry and bifurcations of momentum mappings
• Pseudo-differential operators and non-elliptic boundary problems
• Instability of closed spaces in general relativity
• The Yang–Mills system in compactified Minkowski space; Invariance conditions and SU(2) invariant solutions
• Spacetime symmetries and linearization stability of the Einstein equations. I
• Linearization stability of the Einstein equations