A Conformal Affine Toda Model of 2D Black Holes: A Quantum Study of the Evaporation End-Point

Abstract

In this paper we reformulate the dilaton-gravity theory of Callan \etal\ as a new effective conformal field theory which turns out to be a generalization of the so-called $S{L}_2$-conformal affine Toda (CAT) theory studied some times ago by Babelon and Bonora. We quantize this model, thus keeping in account the dilaton-gravity quantum effects. We then implement a Renormalization Group analysis to study the black hole thermodynamics and the final state of the Hawking evaporation.

arXiv comment15 pages, phyzzx, ROM-2F-92-52