Volume Operator in Discretized Quantum Gravity

R. Loll
Phys. Rev. Lett. 75, 3048 – Published 23 October 1995
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Abstract

We investigate the spectral properties of the volume operator in quantum gravity in the framework of a previously introduced lattice discretization. The spectrum of the volume operator is discrete, but its eigenstates differ from those found in an earlier continuum treatment. This illustrates how lattice methods can be used profitably in the context of diffeomorphism-invariant theories.

  • Received 21 June 1995

DOI:https://doi.org/10.1103/PhysRevLett.75.3048

©1995 American Physical Society

Authors & Affiliations

R. Loll

  • Istituto Nazionale di Fisica Nucleare Sezione di Firenze, Largo E. Fermi 2, I-50125 Firenze, Italy

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Issue

Vol. 75, Iss. 17 — 23 October 1995

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