A Gaussian Weave for Kinematical Loop Quantum Gravity

Details A Gaussian Weave for Kinematical Loop Quantum Gravity A Gaussian Weave for Kinematical Loop Quantum Gravity

2000-06-20

arxiv.org/abs/gr-qc/0006067v2

Int.J.Mod.Phys. D10 (2001) 325-338

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, 3 figures, Revtex file. Comments added and references updated. Final version to appear in IJMP-D

Scientific paper

10.1142/S0218271801000846

Remarkable efforts in the study of the semi-classical regime of kinematical loop quantum gravity are currently underway. In this note, we construct a ``quasi-coherent'' weave state using Gaussian factors. In a similar fashion to some other proposals, this state is peaked in both the connection and the spin network basis. However, the state constructed here has the novel feature that, in the spin network basis, the main contribution for this state is given by the fundamental representation, independently of the value of the parameter that regulates the Gaussian width.

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