Dirac constraint quantization of a dilatonic model of gravitational collapse

Karel V. Kuchař, Joseph D. Romano, and Madhavan Varadarajan
Phys. Rev. D 55, 795 – Published 15 January 1997
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Abstract

We present an anomaly-free Dirac constraint quantization of the string-inspired dilatonic gravity (the CGHS model) in an open two-dimensional spacetime. We show that the quantum theory has the same degrees of freedom as the classical theory, namely, all the modes of the scalar field on an auxiliary flat background, supplemented by a single additional variable corresponding to the primordial component of the black hole mass. The functional Heisenberg equations of motion for these dynamical variables and their canonical conjugates are linear, and they have exactly the same form as the corresponding classical equations. A canonical transformation brings us back to the physical geometry and induces its quantization.

  • Received 5 August 1996

DOI:https://doi.org/10.1103/PhysRevD.55.795

©1997 American Physical Society

Authors & Affiliations

Karel V. Kuchař

  • Department of Physics, University of Utah, Salt Lake City, Utah 84112

Joseph D. Romano

  • Department of Physics, University of Wisconsin-Milwaukee, Milwaukee, Wisconsin 53201

Madhavan Varadarajan

  • Department of Physics, University of Utah, Salt Lake City, Utah 84112

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Issue

Vol. 55, Iss. 2 — 15 January 1997

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