On the measure in simplicial gravity

Herbert W. Hamber and Ruth M. Williams
Phys. Rev. D 59, 064014 – Published 11 February 1999
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Abstract

Functional measures for lattice quantum gravity should agree with their continuum counterparts in the weak field, low momentum limit. After showing that the standard simplicial measure satisfies the above requirement, we prove that a class of recently proposed non-local measures for lattice gravity do not satisfy such a criterion, already to lowest order in the weak field expansion. We argue therefore that the latter cannot represent acceptable discrete functional measures for simplicial geometries.

  • Received 28 August 1998

DOI:https://doi.org/10.1103/PhysRevD.59.064014

©1999 American Physical Society

Authors & Affiliations

Herbert W. Hamber* and Ruth M. Williams

  • Theoretical Physics Division, CERN, CH-1211 Geneva 23, Switzerland

  • *Permanent address: University of California, Irvine, California 92717. Email address: hamber@cern.ch
  • Permanent address: DAMTP, Silver Street, Cambridge CB3 9EW, England. Email address: rmw7@damtp.cam.ac.uk

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Vol. 59, Iss. 6 — 15 March 1999

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