Non-perturbative 2 particle scattering amplitudes in \(2+1\) dimensional quantum gravity
type: Item
instance of: scholarly article
title: Non-perturbative 2 particle scattering amplitudes in \(2+1\) dimensional quantum gravity
zbMATH Open document ID: 0663.47007
DOI: 10.1007/BF01218392
published in: Communications in Mathematical Physics
publication date: 1988-01-01T00:00:00Z
review text: A model of quantum theory for scalar particles interacting only gravitationally in \(2+1\) dimensions is considered. Although the consistent full theory does not exist the author constructed unambiguously the two-particle sector of the Hilbert space and computed the associated exact scattering amplitude. The nonperturbative method of quantization introduced by the author is mathematically interesting and suggest the possible approach to N-particle case.
Mathematics Subject Classification ID: 47A40
Mathematics Subject Classification ID: 81T08
Mathematics Subject Classification ID: 81S10
zbMATH DE Number: 4084395
zbMATH Keywords: quantum gravity
zbMATH Keywords: quantum theory for scalar particles interacting only gravitationally in \(2+1\) dimensions
zbMATH Keywords: two-particle sector of the Hilbert space
zbMATH Keywords: exact scattering amplitude
zbMATH Keywords: nonperturbative method of quantization
author: Gerard 't Hooft
reviewed by: Robert Alicki
MaRDI profile type: Publication
cites work: General relativity in a \((2+1)\)-dimensional space-time: An electrically charged solution
cites work: Einstein's theory in a three-dimensional space-time
cites work: Topology of cosmic domains and strings
full work available at URL: https://doi.org/10.1007/bf01218392
OpenAlex ID: W1979798350
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description: scientific article; zbMATH DE number 4084395