Quantization of the String Inspired Dilaton Gravity and the Birkhoff Theorem

Details Quantization of the String Inspired Dilaton Gravity and the Birkhoff Theorem Quantization of the String Inspired Dilaton Gravity and the Birkhoff Theorem

1998-02-23

arxiv.org/abs/hep-th/9802158v1

Phys.Lett. B424 (1998) 265-270

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, Plain TeX, a shortened version will appear in Physics Letters B

Scientific paper

10.1016/S0370-2693(98)00226-3

We develop a simple scheme of quantization for the dilaton CGHS model without scalar fields, that uses the Gupta-Bleuler approach for the string fields. This is possible because the constraints can be linearized classically, due to positivity conditions that are 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.

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