On the consistency of the constraint algebra in spin network quantum gravity

Gambini, Rodolfo; Lewandowski, Jerzy; Marolf, Donald; Pullin, Jorge

doi:10.1142/S0218271898000103

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On the consistency of the constraint algebra in spin network quantum gravity

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Lewandowski, Jerzy
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Gambini, R., Lewandowski, J., Marolf, D., & Pullin, J. (1998). On the consistency of the constraint algebra in spin network quantum gravity. International Journal of Modern Physics D, 7(1), 97-109. doi:10.1142/S0218271898000103.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-596B-5

Abstract

We point out several features of the quantum Hamiltonian constraints recently introduced by Thiemann for Euclidean gravity. In particular we discuss the issue of the constraint algebra and of the quantum realization of the object qabVb, which is classically the Poisson Bracket of two Hamiltonians.