### Abstract

We study the black hole information paradox in the context of a two-dimensional toy model given by dilaton gravity coupled to N massless scalar fields. After making the model well-defined by imposing reflecting boundary conditions at a critical value of the dilaton field, we quantize the theory and define a quantum S-matrix for the case that N = 24. This S-matrix maps pure initial states to pure out-states and we further argue that in the semiclassical regime it describes the formation and subsequent Hawking evaporation of two-dimensional black holes. Finally, we note an interesting correspondence between the dilaton gravity S-matrix and that of the c = 1 matrix model.

Original language | English (US) |
---|---|

Pages (from-to) | 43-58 |

Number of pages | 16 |

Journal | Nuclear Physics, Section B |

Volume | 406 |

Issue number | 1-2 |

DOIs | |

State | Published - Sep 27 1993 |

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

## Fingerprint Dive into the research topics of 'A quantum S-matrix for two-dimensional black hole formation and evaporation'. Together they form a unique fingerprint.

## Cite this

*Nuclear Physics, Section B*,

*406*(1-2), 43-58. https://doi.org/10.1016/0550-3213(93)90160-Q