Cosmological Constant in LQG Vertex Amplitude
General Relativity and Quantum Cosmology
2011-10-04 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
A new q-deformation of the Euclidean EPRL/FK vertex amplitude is proposed by using the evaluation of the Vassiliev invariant associated with a 4-simplex graph (related to two copies of quantum SU(2) group at different roots of unity) embedded in a 3-sphere. We show that the large-j asymptotics of the q-deformed vertex amplitude gives the Regge action with a cosmological constant. In the end we also discuss its relation with a Chern-Simons theory on the boundary of 4-simplex.
Keywords
Cite
@article{arxiv.1105.2212,
title = {Cosmological Constant in LQG Vertex Amplitude},
author = {Muxin Han},
journal= {arXiv preprint arXiv:1105.2212},
year = {2011}
}
Comments
6 pages, 5 figures, result and presentation improved