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Quantum black holes in two dimensions

Journal Article · · Physical Review, D (Particles Fields); (United States)
 [1]
  1. Department of Physics, Box 390, University of Colorado, Boulder, Colorado 80309 (United States)

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.

DOE Contract Number:
FG02-91ER40672
OSTI ID:
6936989
Journal Information:
Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 46:12; ISSN PRVDAQ; ISSN 0556-2821
Country of Publication:
United States
Language:
English