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Article Dans Une Revue Journal of Mathematical Physics Année : 2011

4-dimensional Spin-foam Model with Quantum Lorentz Group

Résumé

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.

Dates et versions

hal-00549809 , version 1 (22-12-2010)

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Citer

Muxin Han. 4-dimensional Spin-foam Model with Quantum Lorentz Group. Journal of Mathematical Physics, 2011, 52 (7), pp.072501 ⟨10.1063/1.3606592⟩. ⟨hal-00549809⟩
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