Nonperturbative two-dimensional quantum gravity

Journal Article · Mon Jan 08 00:00:00 EST 1990 · Physical Review Letters; (USA)

DOI:https://doi.org/10.1103/PhysRevLett.64.127· OSTI ID:7187470

Gross, D J; Migdal, A A ^[1]

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1. Joseph Henry Laboratories, Princeton University, Princeton, New Jersey 08544 (US)

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.

• OSTI ID: 7187470
• Journal Information: Physical Review Letters; (USA), Vol. 64:2; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

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