On the Measure in Simplicial Gravity

Details On the Measure in Simplicial Gravity On the Measure in Simplicial Gravity

1997-08-05

arxiv.org/abs/hep-th/9708019v1

Phys.Rev. D59 (1999) 064014

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 15 pages, 2 figures

Scientific paper

10.1103/PhysRevD.59.064014

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.

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