%0 Generic %1 Bais2002Quantum %A Bais, F. A. %A Muller, N. M. %A Schroers, B. J. %D 2002 %K chern-simons, wilson-loops %T Quantum group symmetry and particle scattering in (2+1)-dimensional quantum gravity %U http://arxiv.org/abs/hep-th/0205021 %X Starting with the Chern-Simons formulation of (2+1)-dimensional gravity we show that the gravitational interactions deform the Poincare symmetry of flat space-time to a quantum group symmetry. The relevant quantum group is the quantum double of the universal cover of the (2+1)-dimensional Lorentz group, or Lorentz double for short. We construct the Hilbert space of two gravitating particles and use the universal R-matrix of the Lorentz double to derive a general expression for the scattering cross section of gravitating particles with spin. In appropriate limits our formula reproduces the semi-classical scattering formulae found by 't Hooft, Deser, Jackiw and de Sousa Gerbert.

@misc{Bais2002Quantum, abstract = {{Starting with the Chern-Simons formulation of (2+1)-dimensional gravity we show that the gravitational interactions deform the Poincare symmetry of flat space-time to a quantum group symmetry. The relevant quantum group is the quantum double of the universal cover of the (2+1)-dimensional Lorentz group, or Lorentz double for short. We construct the Hilbert space of two gravitating particles and use the universal R-matrix of the Lorentz double to derive a general expression for the scattering cross section of gravitating particles with spin. In appropriate limits our formula reproduces the semi-classical scattering formulae found by 't Hooft, Deser, Jackiw and de Sousa Gerbert.}}, added-at = {2019-02-26T10:37:35.000+0100}, archiveprefix = {arXiv}, author = {Bais, F. A. and Muller, N. M. and Schroers, B. J.}, biburl = {https://www.bibsonomy.org/bibtex/2924058e3f4ddf6ff2974b6f05605c4b7/acastro}, citeulike-article-id = {11788661}, citeulike-linkout-0 = {http://arxiv.org/abs/hep-th/0205021}, citeulike-linkout-1 = {http://arxiv.org/pdf/hep-th/0205021}, day = 2, eprint = {hep-th/0205021}, interhash = {c825d017f126faa7aa941fc0865b93e6}, intrahash = {924058e3f4ddf6ff2974b6f05605c4b7}, keywords = {chern-simons, wilson-loops}, month = may, posted-at = {2012-11-26 23:59:41}, priority = {2}, timestamp = {2019-02-26T10:37:35.000+0100}, title = {{Quantum group symmetry and particle scattering in (2+1)-dimensional quantum gravity}}, url = {http://arxiv.org/abs/hep-th/0205021}, year = 2002 }