Quantization of a Theory of 2d Dilaton Gravity

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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11 pages, (footnotes and reference added. Typo in equation (27) corrected)

Scientific paper

10.1016/0370-2693(92)91219-Y

We discuss the quantization of the 2d gravity theory of Callan, Giddings, Harvey, and Strominger (CGHS), following the procedure of David, and of Distler and Kawai. We find that the physics depends crucially on whether the number of matter fields is greater than or less than 24. In the latter case the singularity pointed out by several authors is absent but the physical interpretation is unclear. In the former case (the one studied by CGHS) the quantum theory which gives CGHS in the linear dilaton semi-classical limit, is different from that which gives CGHS in the extreme Liouville regime.

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