Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2000-11-29
Class.Quant.Grav. 18 (2001) 1593-1624
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
35 pp, 20 eps figures; minor corrections, references added; version to appear in Class. Quant. Grav
Scientific paper
10.1088/0264-9381/18/9/301
We study a generalized version of the Hamiltonian constraint operator in nonperturbative loop quantum gravity. The generalization is based on admitting arbitrary irreducible SU(2) representations in the regularization of the operator, in contrast to the original definition where only the fundamental representation is taken. This leads to a quantization ambiguity and to a family of operators with the same classical limit. We calculate the action of the Euclidean part of the generalized Hamiltonian constraint on trivalent states, using the graphical notation of Temperley-Lieb recoupling theory. We discuss the relation between this generalization of the Hamiltonian constraint and crossing symmetry.
Gaul Marcus
Rovelli Carlo
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