Differential Geometric Methods in Mathematical Physics

Inhaltsverzeichnis

• Massless limits and dual field theories.
• Poisson commutativity and the generalized periodic toda lattice.
• Spaces of solutions of relativistic field theories with constraints.
• The symplectic “category”.
• Moments and reductions.
• Elementary systems for lie algebra bundle actions.
• What kind of a dynamical system is the radiating electron?.
• Asymptotics of elementary spherical functions.
• Hermitian structures on solution varieties of nonlinear relativistic wave equations.
• Vector bundle connections and liftings of partial differential operators.
• Phase space of the coupled vectorial Klein-Gordon-Maxwell equations.
• Particle theory and global geometry.
• Group theoretical aspects of the chronometric theory.
• Spinor structures.
• The complex cayley algebra and the Lorentz group.
• Prequantisation from path integral viewpoint.
• A geometrical property of POV-measures and systems of covariance.
• Path integrals over manifolds.
• Gauge-theory ghosts and ghost-gauge theories.
• On monopole systems with weak axial symmetry.
• Quantum fields in curved space-times and scattering theory.
• The quantized maxwell field and its gauges; A generalization of wightman theory.