# Quantum black holes in two dimensions

## Abstract

We show that a whole class of quantum actions for dilaton gravity, which reduce to the Callan-Giddings-Harvey-Strominger theory in the classical limit, can be written as a Liouville-like theory. In a subclass of this, the field space singularity observed by several authors is absent, regardless of the number of matter fields, and in addition it is such that the dilaton-gravity functional integration range (the real line) transforms into itself for the Liouville theory fields. We also discuss some problems associated with the usual calculation of Hawking radiation, which stem from the neglect of back reaction. We give an alternative argument incorporating back reaction but find that the rate is still asymptotically constant. The latter is due to the fact that the quantum theory has no lower bound in energy and Hawking radiation takes positive Bondi (or Arnowitt-Deser-Misner) mass solutions to an arbitrarily large negative mass.

- Authors:

- (Department of Physics, Box 390, University of Colorado, Boulder, Colorado 80309 (United States))

- Publication Date:

- OSTI Identifier:
- 6936989

- DOE Contract Number:
- FG02-91ER40672

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review, D (Particles Fields); (United States)

- Additional Journal Information:
- Journal Volume: 46:12; Journal ID: ISSN 0556-2821

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BLACK HOLES; QUANTUM FIELD THEORY; COSMOLOGY; EQUATIONS OF MOTION; GRAVITATIONAL FIELDS; LIOUVILLE THEOREM; METRICS; QUANTIZATION; SCALAR FIELDS; SUPERSYMMETRY; TWO-DIMENSIONAL CALCULATIONS; DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD THEORIES; PARTIAL DIFFERENTIAL EQUATIONS; SYMMETRY; 662120* - General Theory of Particles & Fields- Symmetry, Conservation Laws, Currents & Their Properties- (1992-); 662110 - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)

### Citation Formats

```
de Alwis, S.P.
```*Quantum black holes in two dimensions*. United States: N. p., 1992.
Web. doi:10.1103/PhysRevD.46.5429.

```
de Alwis, S.P.
```*Quantum black holes in two dimensions*. United States. doi:10.1103/PhysRevD.46.5429.

```
de Alwis, S.P. Tue .
"Quantum black holes in two dimensions". United States. doi:10.1103/PhysRevD.46.5429.
```

```
@article{osti_6936989,
```

title = {Quantum black holes in two dimensions},

author = {de Alwis, S.P.},

abstractNote = {We show that a whole class of quantum actions for dilaton gravity, which reduce to the Callan-Giddings-Harvey-Strominger theory in the classical limit, can be written as a Liouville-like theory. In a subclass of this, the field space singularity observed by several authors is absent, regardless of the number of matter fields, and in addition it is such that the dilaton-gravity functional integration range (the real line) transforms into itself for the Liouville theory fields. We also discuss some problems associated with the usual calculation of Hawking radiation, which stem from the neglect of back reaction. We give an alternative argument incorporating back reaction but find that the rate is still asymptotically constant. The latter is due to the fact that the quantum theory has no lower bound in energy and Hawking radiation takes positive Bondi (or Arnowitt-Deser-Misner) mass solutions to an arbitrarily large negative mass.},

doi = {10.1103/PhysRevD.46.5429},

journal = {Physical Review, D (Particles Fields); (United States)},

issn = {0556-2821},

number = ,

volume = 46:12,

place = {United States},

year = {1992},

month = {12}

}