Quantization of the String Inspired Dilaton Gravity and the Birkhoff Theorem
We show that, for the pure dilaton CGHS model, the Gupta-Bleuler quantization is viable because the constraints can be linearized due to positivity conditions present in the model (and not in the general string case). There is no ambiguity nor anomalies in the quantization. The expectation values of the metric and dilaton fields obey the classical requirements, thus exhibiting at the quantum level the Birkhoff theorem.
M. Cavaglia et al., "Quantization of the String Inspired Dilaton Gravity and the Birkhoff Theorem," Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, vol. 424, no. 3-4, pp. 265-270, Elsevier, Apr 1998.
The definitive version is available at https://doi.org/10.1016/S0370-2693(98)00226-3
Keywords and Phrases
Canonical quantization; Field theory; Quantum gravity; Two-dimensional models
International Standard Serial Number (ISSN)
Article - Journal
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