Solution of quantum Dirac constraints via path integral

Details Solution of quantum Dirac constraints via path integral Solution of quantum Dirac constraints via path integral

1997-11-21

arxiv.org/abs/hep-th/9711164v1

Nucl.Phys. B520 (1998) 533-560

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, LaTeX

Scientific paper

10.1016/S0550-3213(98)00172-2

The semiclassical solution of quantum Dirac constraints in generic constrained system is obtained by directly calculating in the one-loop approximation the gauge field path integral with relativistic gauge fixing procedure. The gauge independence property of this path integral is analyzed by the method of Ward identities with a special emphasis on boundary conditions for gauge fields. The calculations are based on the known reduction algorithms for functional determinants extended to gauge theories. The mechanism of transition from relativistic gauge conditions to unitary gauges, participating in the construction of this solution, is explicitly revealed. Implications of this result in problems with spacetime boundaries, quantum gravity and cosmology are briefly discussed.

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