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arXiv · 0804.2389

Barbero-Immirzi parameter in Regge calculus

V. M. Khatsymovsky
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Abstract

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 $1/γ$, $γ$ is Barbero-Immirzi parameter. The quantum measure is shown to exponentially decrease with areas with typical cut-off scales $4πG$ and $4πGγ$ in spacelike and timelike regions, respectively ($G$ is the Newton constant).

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V. M. Khatsymovsky. 2008-04-21. Barbero-Immirzi parameter in Regge calculus. https://arxiv.org/abs/0804.2389

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