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.File in questo prodotto:
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