Nonperturbative two-dimensional quantum gravity

David J. Gross and Alexander A. Migdal
Phys. Rev. Lett. 64, 127 – Published 8 January 1990
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Abstract

We propose a nonperturbative definition of two-dimensional quantum gravity, based on a double-scaling limit of the random-matrix model. We derive an exact differential equation for the partition function of two-dimensional gravity coupled to conformal matter as a function of the string coupling constant that governs the genus expansion of two-dimensional surfaces, and discuss its properties and consequences. We also construct and discuss the correlation functions of an infinite set of local operators for spherical topology.

  • Received 24 October 1989

DOI:https://doi.org/10.1103/PhysRevLett.64.127

©1990 American Physical Society

Authors & Affiliations

David J. Gross and Alexander A. Migdal

  • Joseph Henry Laboratories, Princeton University, Princeton, New Jersey 08544

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Issue

Vol. 64, Iss. 2 — 8 January 1990

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