The constraint algebra of quantum gravity in the loop representation

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

1994-04-28

arxiv.org/abs/gr-qc/9404059v1

Int.J.Mod.Phys. D4 (1995) 589-616

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, Revtex, no figures, CGPG-94/4-3

Scientific paper

10.1142/S0218271895000417

We study the algebra of constraints of quantum gravity in the loop
representation based on Ashtekar's new variables. We show by direct computation
that the quantum commutator algebra reproduces the classical Poisson bracket
one, in the limit in which regulators are removed. The calculation illustrates
the use of several computational techniques for the loop representation.

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