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arXiv · hep-th/0412007

Classical and Quantum Integrability of 2D Dilaton Gravities in Euclidean space

L. Bergamin·D. Grumiller·W. Kummer·D. V. Vassilevich
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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.

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L. Bergamin, D. Grumiller, W. Kummer, D. V. Vassilevich. 2005-02-03. Classical and Quantum Integrability of 2D Dilaton Gravities in Euclidean space. https://doi.org/10.1088/0264-9381%2F22%2F7%2F010

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