# Fractal structure of 2d-quantum gravity

## Abstract

The authors resolve renormalization problems, indicated in Ref. 1 and find explicit formulae for the spectrum of anomalous dimensions in 2d - quantum gravity. Comparison with combinatorial approximation of random surfaces and its numerical analyses shows complete agreement with all known facts.

- Authors:

- Publication Date:

- Research Org.:
- Landau Institute of Theoretical Physics, Moscow (SU)

- OSTI Identifier:
- 6819526

- Alternate Identifier(s):
- OSTI ID: 6819526

- Resource Type:
- Journal Article

- Journal Name:
- Mod. Phys. Letters B; (United States)

- Additional Journal Information:
- Journal Volume: 3:8

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; QUANTUM GRAVITY; FRACTALS; COMPARATIVE EVALUATIONS; NUMERICAL SOLUTION; RANDOMNESS; RENORMALIZATION; FIELD THEORIES; QUANTUM FIELD THEORY 657000* -- Theoretical & Mathematical Physics

### Citation Formats

```
Knizhnik, V.G., Polyakov, A.M., and Zamolodchikov, A.B.
```*Fractal structure of 2d-quantum gravity*. United States: N. p., 1988.
Web. doi:10.1142/S0217732388000982.

```
Knizhnik, V.G., Polyakov, A.M., & Zamolodchikov, A.B.
```*Fractal structure of 2d-quantum gravity*. United States. doi:10.1142/S0217732388000982.

```
Knizhnik, V.G., Polyakov, A.M., and Zamolodchikov, A.B. Fri .
"Fractal structure of 2d-quantum gravity". United States. doi:10.1142/S0217732388000982.
```

```
@article{osti_6819526,
```

title = {Fractal structure of 2d-quantum gravity},

author = {Knizhnik, V.G. and Polyakov, A.M. and Zamolodchikov, A.B.},

abstractNote = {The authors resolve renormalization problems, indicated in Ref. 1 and find explicit formulae for the spectrum of anomalous dimensions in 2d - quantum gravity. Comparison with combinatorial approximation of random surfaces and its numerical analyses shows complete agreement with all known facts.},

doi = {10.1142/S0217732388000982},

journal = {Mod. Phys. Letters B; (United States)},

number = ,

volume = 3:8,

place = {United States},

year = {1988},

month = {7}

}

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