On the constraint algebra of quantum gravity in the loop representation

Details On the constraint algebra of quantum gravity in the loop representation On the constraint algebra of quantum gravity in the loop representation

1995-12-20

arxiv.org/abs/gr-qc/9512036v1

Nucl.Phys.B474:249-268,1996

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, LaTeX, 2 figures included with epsf

Scientific paper

10.1016/0550-3213(96)00241-6

Although an important issue in canonical quantization, the problem of representing the constraint algebra in the loop representation of quantum gravity has received little attention. The only explicit computation was performed by Gambini, Garat and Pullin for a formal point-splitting regularization of the diffeomorphism and Hamiltonian constraints. It is shown that the calculation of the algebra simplifies considerably when the constraints are expressed not in terms of generic area derivatives but rather as the specific shift operators that reflect the geometric meaning of the constraints.

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