Quantum Dilaton Gravity in the Light–cone Gauge

Recently, models of two-dimensional dilaton gravity have been shown to admit classical black-hole solutions that exhibit Hawking radiation at the semi-classical level. These classical and semi-classical analyses have been performed in conformal gauge. We show in this paper that a similar analysis in the light–cone gauge leads to the same results. Moreover, quantization of matter fields in light–cone gauge can be naturally extended to include quantizing the metric field à la KPZ. We argue that this may provide a new framework to address many issues associated to black-hole physics. ⋆ Work supported partially by a World Laboratory scholarship. CERN-TH.6633/92 September 1992