6533b827fe1ef96bd128652a
RESEARCH PRODUCT
Coordinate-free quantization of first-class constrained systems
John R. KlauderSergei V. Shabanovsubject
PhysicsHigh Energy Physics - TheoryNuclear and High Energy PhysicsPure mathematicsQuantum PhysicsCanonical quantizationFOS: Physical sciencessymbols.namesakeHigh Energy Physics - Theory (hep-th)Gauge groupRegularization (physics)Lagrange multiplierPath integral formulationsymbolsCoherent statesQuantum Physics (quant-ph)Subspace topologyBrownian motiondescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1996-08-06 |