Phys. Rev. D 59, 064014 (1999) [8 pages]On the measure in simplicial gravityReceived 28 August 1998; published 11 February 1999 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. © 1999 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.59.064014
DOI:
10.1103/PhysRevD.59.064014
PACS:
04.60.Nc, 04.25.Dm, 04.62.+v, 11.15.Ha
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