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Non-perturbative 2 particle scattering amplitudes in 2+1 dimensional quantum gravity

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Abstract

A quantum theory for scalar particles interacting only gravitationally in 2+1 dimensions is considered. Since there are no real gravitons the interaction is entirely topological. Nevertheless, there is non-trivial scattering. We show that the two-particle amplitude can be computed exactly. Although the complete “theory” is not well understood we suggest an approach towards formulating theN particle problem.

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Authors and Affiliations

  1. Institute for Theoretical Physics, Princetonplein 5, P.O. Box 80.006, NL-3508 TA, Utrecht, The Netherlands

    G. 't Hooft

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  1. G. 't Hooft
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Communicated by A. Jaffe

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't Hooft, G. Non-perturbative 2 particle scattering amplitudes in 2+1 dimensional quantum gravity. Commun.Math. Phys. 117, 685–700 (1988). https://doi.org/10.1007/BF01218392

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  • DOI: https://doi.org/10.1007/BF01218392

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