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ID: 341996.0, MPI für Gravitationsphysik / Quantum Gravity and Unified Theories
An integrable model of quantum gravity
Authors:Korotkin, D. A.; Nicolai, Hermann
Date of Publication (YYYY-MM-DD):1995-08
Title of Journal:Physics Letters B
Volume:356
Issue / Number:2-3
Start Page:211
End Page:216
Review Status:not specified
Audience:Not Specified
Abstract / Description:We present a new quantization scheme for 2D gravity coupled to an SU(2) principal chiral field and a dilaton; this model represents a slightly simplified version of stationary axisymmetric quantum gravity. The analysis makes use of the separation of variables found in our previous work [D. Korotkin and H. Nicolai, Phys. Rev. Lett. 74 (1995) 1272] and is based on a two-time Hamiltonian approach. The quantum constraints are shown to reduce to a pair of compatible first order equations, with the dilaton playing the role of a “clock field”. Exact solutions of the Wheeler-DeWitt equation are constructed via the integral formula for solutions of the Knizhnik-Zamolodchikov equations.
External Publication Status:published
Document Type:Article
Communicated by:Hermann Nicolai
Affiliations:MPI für Gravitationsphysik/Quantum Gravity and Unified Theories
External Affiliations:Institute for Theoretical Physics, Hamburg University, Luruper Chaussee 149, 22761, Hamburg, Germany
Identifiers:ISSN:0370-2693
DOI:10.1016/0370-2693(95)00832-6
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