4-dimensional Spin-foam Model with Quantum Lorentz Group
arXiv:1012.4216 · doi:10.1063/1.3606592
Abstract
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.
23 pages, 3 figures, references added