Barbero-Immirzi parameter in Regge calculus

Details Barbero-Immirzi parameter in Regge calculus Barbero-Immirzi parameter in Regge calculus

2008-04-15

arxiv.org/abs/0804.2389v2

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, 2 figures, typos corrected, ref added, readability improved

Scientific paper

We consider Regge calculus in the representation in terms of area tensors and self- and antiselfdual connections generalised to the case of Holst action that is standard Einstein action in the tetrad-connection variables plus topological (on equations of motion for connections) term with coefficient $1/\gamma$, $\gamma$ is Barbero-Immirzi parameter. The quantum measure is shown to exponentially decrease with areas with typical cut-off scales $4\pi G$ and $4\pi G\gamma$ in spacelike and timelike regions, respectively ($G$ is the Newton constant).

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