We introduce a new operator in loop quantum gravity-the 3D curvature operator-related to the three-dimensional scalar curvature. The construction is based on Regge calculus. We define this operator starting from the classical expression of the Regge curvature, we derive its properties and discuss some explicit checks of the semiclassical limit. © 2014 American Physical Society.

Curvature operator for loop quantum gravity

ALESCI, Emanuele;
2014-01-01

Abstract

We introduce a new operator in loop quantum gravity-the 3D curvature operator-related to the three-dimensional scalar curvature. The construction is based on Regge calculus. We define this operator starting from the classical expression of the Regge curvature, we derive its properties and discuss some explicit checks of the semiclassical limit. © 2014 American Physical Society.
2014
89
12
1
13
124017
https://arxiv.org/abs/1403.3190
http://inspirehep.net/record/1285726
http://cdsads.u-strasbg.fr/abs/2014PhRvD..89l4017A
Alesci, Emanuele; Assanioussi, M.; Lewandowski, J.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/32581
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