Universal Procedure for Enforcing Quantum Constraints

Abstract

An abstract formulation of quantum dynamics in the presence of a general set of quantum constraints is developed. Our constructive procedure is such that the relevant projection operator onto the physical Hilbert space is obtained with a single, common integration procedure over the original Lagrange multiplier variables that is completely independent of the general nature of the constraints. In the associated lattice-limit formulation it is demonstrated that expansion of the constraint operator contribution to second order in the lattice spacing is necessary while, as usual, only a first-order expansion is needed for the dynamical operator contribution. Among various possibilities, coherent state path integrals are used to illustrate a completely functional representation of the abstract quantization procedure.

latex, 21 pages, no figures

References in corpus (1)

• Solving Gauge Invariant Systems without Gauge Fixing: the Physical Projector in 0+1 Dimensional Theories

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