# 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:

- (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}

}

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