Long range correlations in quantum gravity

Details Long range correlations in quantum gravity Long range correlations in quantum gravity

1998-03-18

arxiv.org/abs/gr-qc/9803066v1

Phys.Rev. D59 (1999) 044032

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

29 pages; LaTex; 9 figures in .eps files

Scientific paper

10.1103/PhysRevD.59.044032

Smolin has pointed out that the spin network formulation of quantum gravity will not necessarily possess the long range correlations needed for a proper classical limit; typically, the action of the scalar constraint is too local. Thiemann's length operator is used to argue for a further restriction on the action of the scalar constraint: it should not introduce new edges of color unity into a spin network, but should rather change preexisting edges by $\pm$ one unit of color. Smolin has proposed a specific ansatz for a correlated scalar constraint. This ansatz does not introduce color unity edges, but the [scalar, scalar] commutator is shown to be anomalous. In general, it will be hard to avoid anomalies, once correlation is introduced into the constraint; but it is argued that the scalar constraint may not need to be anomaly-free when acting on the kinematic basis.

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