%0 Journal Article
%T Classical and Quantum Integrability of 2D Dilaton Gravities in Euclidean space
%A L. Bergamin
%A D. Grumiller
%A W. Kummer
%A D. V. Vassilevich
%J Physics
%D 2004
%I arXiv
%R 10.1088/0264-9381/22/7/010
%X 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.
%U http://arxiv.org/abs/hep-th/0412007v2