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Curvature operator for loop quantum gravity

E. Alesci*, M. Assanioussi†, and J. Lewandowski‡

  • Institute of Theoretical Physics, University of Warsaw (Instytut Fizyki Teoretycznej, Uniwersytet Warszawski), ulica Hoża 69, 00-681 Warszawa, Poland, EU

  • *emanuele.alesci@fuw.edu.pl
  • †mehdi.assanioussi@fuw.edu.pl
  • ‡jerzy.lewandowski@fuw.edu.pl
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Phys. Rev. D 89, 124017 – Published 12 June, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.124017

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.

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Phys. Rev. D 89, 124017– Published 12 June, 2014
  • Received 22 March 2014

© 2014 American Physical Society

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