Operator ordering for generally covariant systems

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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4 pages. Talk given at the Third Conference on "Constrained Dynamics and Quantum Gravity" held in Sardinia (Italy), September

Scientific paper

10.1016/S0920-5632(00)00794-5

The constraint operators belonging to a generally covariant system are found out within the framework of the BRST formalism. The result embraces quadratic Hamiltonian constraints whose potential can be factorized as a never null function times a gauge invariant function. The building of the inner product between physical states is analyzed for systems featuring either intrinsic or extrinsic time.

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