Classical and Quantum Integrability of 2D Dilaton Gravities in Euclidean space
High Energy Physics - Theory
2009-11-10 v2 General Relativity and Quantum Cosmology
Abstract
Euclidean dilaton gravity in two dimensions is studied exploiting its representation as a complexified first order gravity model. All local classical solutions are obtained. A global discussion reveals that for a given model only a restricted class of topologies is consistent with the metric and the dilaton. A particular case of string motivated Liouville gravity is studied in detail. Path integral quantisation in generic Euclidean dilaton gravity is performed non-perturbatively by analogy to the Minkowskian case.
Keywords
Cite
@article{arxiv.hep-th/0412007,
title = {Classical and Quantum Integrability of 2D Dilaton Gravities in Euclidean space},
author = {L. Bergamin and D. Grumiller and W. Kummer and D. V. Vassilevich},
journal= {arXiv preprint arXiv:hep-th/0412007},
year = {2009}
}
Comments
27 p., LaTeX, v2: included new refs. and a footnote