Dirac constraint quantization of a dilatonic model of gravitational collapse

Karel V. Kuchař, Joseph D. Romano, Madhavan Varadarajan

Research output: Contribution to journalArticlepeer-review

57 Scopus citations


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.

Original languageEnglish
Pages (from-to)795-808
Number of pages14
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number2
StatePublished - 1997


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