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PUBDB-2023-00754

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png An integrable model of quantum gravity

Korotkin, D. ; Nicolai, H.

1995

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Please use a persistent id in citations: doi:10.3204/PUBDB-2023-00754

Report No.: DESY-95-058; hep-th/9504088

Abstract: 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.

Keyword(s): quantum gravity ; integrability ; dimension: 2 ; symmetry: SU(2) ; symmetry: chiral ; field theory: dilaton ; quantization ; Hamiltonian formalism ; Wheeler-DeWitt equation: solution ; Knizhnik-Zamolodchikov equation

Note: F-Bereich; Theorie

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Contributing Institute(s):

1. DESY Retrocat (DESY(-2012))

Research Program(s):

1. 899 - ohne Topic (POF3-899) (POF3-899)

Experiment(s):

1. No specific instrument

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Report/Journal Article Korotkin, D. ; Nicolai, H.
An integrable model of quantum gravity
Physics letters / B 356(2-3), 211 - 216 (1995) [10.1016/0370-2693(95)00832-6]1995     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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