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Quantization of generally covariant systems with extrinsic time

1998/08/31 by Rafael Ferraro, Daniel M. Sforza, Daniel Sforza · 1 citation
Physics and Astronomy · #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.59.107503

published as Phys.Rev. D59 (1999) 107503 · 10 pages. Definite published version

openalex publication_date 1999/04/19 · arxiv created 1999/06/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A generally covariant system can be deparametrized by means of an ``extrinsic'' time, provided that the metric has a conformal ``temporal'' Killing vector and the potential exhibits a suitable behavior with respect to it. The quantization of the system is performed by giving the well ordered constraint operators which satisfy the algebra. The searching of these operators is enlightened by the methods of the BRST formalism.

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