Exact Path Integral Quantization of 2-D Dilaton Gravity
General Relativity and Quantum Cosmology
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.gr-qc/9710033,
title = {Exact Path Integral Quantization of 2-D Dilaton Gravity},
author = {W. Kummer and H. Liebl and D. V. Vassilevich},
journal= {arXiv preprint arXiv:gr-qc/9710033},
year = {2007}
}
Comments
3 pages, LaTeX, requires mprocl.sty available at http://shemesh.fiz.huji.ac.il/MG8/submission.html , talk presented at the 8th Marcel Grossmann conference (MG8)