Regularization and finiteness of the Lorentzian LQG vertices
arXiv:0805.4696 · doi:10.1103/PhysRevD.79.084034
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.
arXiv comment16 pages; Added an appendix presenting the gauge-fixing interpretation, added three references, and made some minor changes
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