skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Nonperturbative two-dimensional quantum gravity

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.

Authors:
;  [1]
  1. (Joseph Henry Laboratories, Princeton University, Princeton, New Jersey 08544 (US))
Publication Date:
OSTI Identifier:
7187470
Resource Type:
Journal Article
Journal Name:
Physical Review Letters; (USA)
Additional Journal Information:
Journal Volume: 64:2; Journal ID: ISSN 0031-9007
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; QUANTUM GRAVITY; TWO-DIMENSIONAL CALCULATIONS; CORRELATION FUNCTIONS; FEYNMAN DIAGRAM; INSTANTONS; LIMITING VALUES; PARTITION FUNCTIONS; SERIES EXPANSION; STRING MODELS; TOPOLOGY; COMPOSITE MODELS; DIAGRAMS; EXTENDED PARTICLE MODEL; FIELD THEORIES; FUNCTIONS; MATHEMATICAL MODELS; MATHEMATICS; PARTICLE MODELS; QUANTUM FIELD THEORY; QUARK MODEL; QUASI PARTICLES; 645400* - High Energy Physics- Field Theory

Citation Formats

Gross, D.J., and Migdal, A.A.. Nonperturbative two-dimensional quantum gravity. United States: N. p., 1990. Web. doi:10.1103/PhysRevLett.64.127.
Gross, D.J., & Migdal, A.A.. Nonperturbative two-dimensional quantum gravity. United States. doi:10.1103/PhysRevLett.64.127.
Gross, D.J., and Migdal, A.A.. Mon . "Nonperturbative two-dimensional quantum gravity". United States. doi:10.1103/PhysRevLett.64.127.
@article{osti_7187470,
title = {Nonperturbative two-dimensional quantum gravity},
author = {Gross, D.J. and Migdal, A.A.},
abstractNote = {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.},
doi = {10.1103/PhysRevLett.64.127},
journal = {Physical Review Letters; (USA)},
issn = {0031-9007},
number = ,
volume = 64:2,
place = {United States},
year = {1990},
month = {1}
}