q-Deformation of Lorentzian spin foam models

Details q-Deformation of Lorentzian spin foam models q-Deformation of Lorentzian spin foam models

2011-12-12

arxiv.org/abs/1112.2511v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, 2 figures, Proceedings of the 3rd Quantum Gravity and Quantum Geometry School (Zakopane, 2011), to appear in PoS

Scientific paper

We construct and analyse a quantum deformation of the Lorentzian EPRL model.
The model is based on the representation theory of the quantum Lorentz group
with real deformation parameter. We give a definition of the quantum EPRL
intertwiner, study its convergence and braiding properties and construct an
amplitude for the four-simplexes. We find that the resulting model is finite.

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