Published April 7, 2005 | Version v1
Journal article

Classical and quantum integrability of 2D dilaton gravities in Euclidean space

  • 1. Institute for Theoretical Physics, TU Vienna, Wiedner Hauptstr. 8-10/136, A-1040 Vienna (Austria)
  • 2. V A Fock Institute of Physics, St Petersburg University, St Petersburg (Russian Federation)
  • 3. Institute for Theoretical Physics, University of Leipzig, Augustusplatz 10-11, D-04103 Leipzig (Germany)

Description

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 quantization in generic Euclidean dilaton gravity is performed non-perturbatively by analogy to the Minkowskian case

Availability note (English)

Available online at http://stacks.iop.org/0264-9381/22/1361/cqg5_7_010.pdf or at the Web site for the journal Classical and Quantum Gravity (ISSN 1361-6382) http://www.iop.org/

Additional details

Publishing Information

Journal Title
Classical and Quantum Gravity
Journal Volume
22
Journal Issue
7
Journal Page Range
p. 1361-1381
ISSN
0264-9381
CODEN
CQGRDG

INIS