Coordinate-free quantization of first-class constrained systems

Abstract

The coordinate-free formulation of canonical quantization, achieved by a flat-space Brownian motion regularization of phase-space path integrals, is extended to a special class of closed first-class constrained systems that is broad enough to include Yang-Mills type theories with an arbitrary compact gauge group. Central to this extension are the use of coherent state path integrals and of Lagrange multiplier integrations that engender projection operators onto the subspace of gauge invariant states.

References in corpus (3)

• Coherent State Quantization of Constraint Systems
• Phase space structure and the path integral for gauge theories on a cylinder
• Path Integral in Holomorphic Representation without Gauge Fixation

Cited by in corpus (10)

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• Wave packet propagation study of the charge transfer interaction in the F^- -Cu(111) and -Ag(111) systems
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• Gribov vs BRST
• Coherent State Approach to Time Reparameterization Invariant Systems
• Topology Classes of Flat U(1) Bundles and Diffeomorphic Covariant Representations of the Heisenberg Algebra
• BRST Inner Product Spaces and the Gribov Obstruction
• Path Integral Quantization and Riemannian-Symplectic Manifolds
• Coherent State Approach to Quantum Clocks