Abstract

The possibility of a sensible continuum limit of four-dimensional simplicial quantum gravity in the dynamical triangulation formulation is investigated. The existence of a phase transition with critical fluctuations in the curvature is established, and a number of indicators of the order of the transition computed. Judging from these results from lattices up to 16k simplices, the transition is of second order. The general appearance of the transition, as well as a preliminary estimate of the critical exponent for the susceptibility is in agreement with results obtained by Hamber in another formalism, as a strong indication of universality.

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