Nonperturbative two-dimensional quantum gravity

Details Nonperturbative two-dimensional quantum gravity Nonperturbative two-dimensional quantum gravity

Jan 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990phrvl..64..127g&link_type=abstract

Physical Review Letters, Volume 64, Issue 2, January 8, 1990, pp.127-130

Physics

603

Scientific paper

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.

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