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APS » Journals » Phys. Rev. D » Volume 79 » Issue 8
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Phys. Rev. D 79, 084034 (2009) [10 pages]

Regularization and finiteness of the Lorentzian loop quantum gravity vertices

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Jonathan Engle1,2 and Roberto Pereira2
1MPI für Gravitationsphysik (Albert-Einstein-Institut), Am Mühlenberg 1, D-14476 Potsdam, Germany, European Union
2CPT, CNRS Case 907, Université de la Méditerranée, F-13288 Marseille, France, European Union

Received 14 June 2008; published 23 April 2009

We give an explicit form for the Lorentzian vertices recently introduced for possibly defining the dynamics of loop quantum gravity. As a result of doing so, 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.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.79.084034
DOI:
10.1103/PhysRevD.79.084034
PACS:
04.60.Pp, 03.70.+k

*Unité mixte de recherche (UMR 6207) du CNRS et des Universités de Provence (Aix-Marseille I), de la Meditarranée (Aix-Marseille II) et du Sud (Toulon-Var); laboratoire affilié à la FRUMAM (FR 2291).

 
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