Exact Path Integral Quantization of 2-D Dilaton Gravity

Details Exact Path Integral Quantization of 2-D Dilaton Gravity Exact Path Integral Quantization of 2-D Dilaton Gravity

1997-10-06

arxiv.org/abs/gr-qc/9710033v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

3 pages, LaTeX, requires mprocl.sty available at http://shemesh.fiz.huji.ac.il/MG8/submission.html , talk presented at the 8th

Scientific paper

We demonstrate that in the absence of `matter' fields to all orders of perturbation theory and for all 2D dilaton theories the quantum effective action coincides with the classical one. This resolves the apparent contradiction between the well established results of Dirac quantization and perturbative (path-integral) approaches which seemed to yield non-trivial quantum corrections. For the Jackiw--Teitelboim (JT) model, our result is even extended to the situation when a matter field is present.

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