Elsevier

Physics Letters B

Volume 243, Issue 3, 28 June 1990, Pages 207-214
Physics Letters B

On the foundations of the random lattice approach to quantum gravity

https://doi.org/10.1016/0370-2693(90)90840-3Get rights and content

Abstract

We discuss the problem which can arise in the identification of conventional 2D quantum gravity, involving the sum over Riemann surfaces, with the resultd of the results of the lattice approach, based on the enumeration of the Feynman graphs of matrix models. A potential difficulty is related to the (hypothetical) fact that the arithmetic curves are badly distributed in the module spaces for high enough genera (at least for g ⩾ 17).

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