Phys. Rev. Lett. 96, 221301 (2006) [4 pages]

3D Quantum Gravity and Effective Noncommutative Quantum Field Theory

Abstract

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Laurent Freidel^* and Etera R. Livine^†
Perimeter Institute, 31 Caroline Street, North Waterloo, Ontario N2L 2Y5, Canada, and Laboratoire de Physique, ENS Lyon, CNRS UMR 5672, 46 Allée d’Italie, 69364 Lyon Cedex 07, France

Received 9 December 2005; published 7 June 2006

We show that the effective dynamics of matter fields coupled to 3D quantum gravity is described after integration over the gravitational degrees of freedom by a braided noncommutative quantum field theory symmetric under a κ deformation of the Poincaré group.

URL:

http://link.aps.org/doi/10.1103/PhysRevLett.96.221301

DOI:

10.1103/PhysRevLett.96.221301

PACS:

04.60.Pp, 11.10.Nx

^*Electronic address: lfreidel@perimeterinstitute.ca

^†Electronic address: elivine@perimeterinstitute.ca

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Phys. Rev. Lett. 96, 221301 (2006) [4 pages]

3D Quantum Gravity and Effective Noncommutative Quantum Field Theory