Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2010-12-19
J. Math. Phys. 52, 072501 (2011)
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
23 pages, 3 figures, references added
Scientific paper
10.1063/1.3606592
We study the quantum group deformation of the Lorentzian EPRL spin-foam model. The construction uses the harmonic analysis on the quantum Lorentz group. We show that the quantum group spin-foam model so defined is free of the infra-red divergence, thus gives a finite partition function on a fixed triangulation. We expect this quantum group spin-foam model is a spin-foam quantization of discrete gravity with a cosmological constant.
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