Non-perturbative 2 particle scattering amplitudes in 2+1 dimensional quantum gravity |
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| Authors: | G. 't Hooft |
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| Affiliation: | (1) Institute for Theoretical Physics, Princetonplein 5, P.O. Box 80.006, NL-3508 TA Utrecht, The Netherlands |
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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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