4-dimensional Spin-foam Model with Quantum Lorentz Group
General Relativity and Quantum Cosmology
2011-10-25 v3 High Energy Physics - Theory
Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1012.4216,
title = {4-dimensional Spin-foam Model with Quantum Lorentz Group},
author = {Muxin Han},
journal= {arXiv preprint arXiv:1012.4216},
year = {2011}
}
Comments
23 pages, 3 figures, references added