Coordinate-free quantization of first-class constrained systems

Details Coordinate-free quantization of first-class constrained systems Coordinate-free quantization of first-class constrained systems

1996-08-06

arxiv.org/abs/hep-th/9608027v1

Phys.Lett. B398 (1997) 116-122

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1016/S0370-2693(97)00182-2

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.

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