Regularization and finiteness of the Lorentzian LQG vertices
General Relativity and Quantum Cosmology
2009-11-06 v2
Abstract
We give an explicit form for the Lorentzian vertices recently introduced for possibly defining the dynamics of loop quantum gravity. As a result of so doing, a natural regularization of the vertices is suggested. The regularized vertices are then proven to be finite. An interpretation of the regularization in terms of a gauge-fixing is also given.
Keywords
Cite
@article{arxiv.0805.4696,
title = {Regularization and finiteness of the Lorentzian LQG vertices},
author = {Jonathan Engle and Roberto Pereira},
journal= {arXiv preprint arXiv:0805.4696},
year = {2009}
}
Comments
16 pages; Added an appendix presenting the gauge-fixing interpretation, added three references, and made some minor changes