Long range correlations in quantum gravity
Mar, 199829 pages
Published in:
- Phys.Rev.D 59 (1999) 044032
e-Print:
- gr-qc/9803066 [gr-qc]
Report number:
- TU-317-98
View in:
Citations per year
Abstract: (arXiv)
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 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.Note:
- 29 pages; LaTex; 9 figures in .eps files
- quantum gravity
- spin: network
- correlation: long-range
- constraint: scalar
- anomaly
- symmetry: crossing
References(24)
Figures(9)