Regularization and finiteness of the Lorentzian loop quantum gravity vertices

Jonathan Engle and Roberto Pereira
Phys. Rev. D 79, 084034 – Published 23 April 2009

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 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.

  • Figure
  • Received 14 June 2008

DOI:https://doi.org/10.1103/PhysRevD.79.084034

©2009 American Physical Society

Authors & Affiliations

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

  • *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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Issue

Vol. 79, Iss. 8 — 15 April 2009

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