Barrett-Crane spin foam model from generalized BF-type action for gravity

Richard E. Livine and Daniele Oriti
Phys. Rev. D 65, 044025 – Published 28 January 2002
PDFExport Citation

Abstract

We study a generalized action for gravity as a constrained BF theory, and its relationship with the Plebanski action. We analyze the discretization of the constraints and the spin foam quantization of the theory, showing that it leads naturally to the Barrett-Crane spin foam model for quantum gravity. Our analysis holds true in both the Euclidean and Lorentzian formulations.

  • Received 8 May 2001

DOI:https://doi.org/10.1103/PhysRevD.65.044025

©2002 American Physical Society

Authors & Affiliations

Richard E. Livine*

  • Centre de Physique Théorique–CNRS, Case 907, Luminy, F-13288 Marseille, France
  • The Blackett Laboratory, Imperial College of Science, Technology and Medicine, South Kensington, London SW7 2BZ, United Kingdom

Daniele Oriti

  • Department of Applied Mathematics and Theoretical Physics, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom

  • *Email address: e.livine@ic.ac.uk
  • Email address: d.oriti@damtp.cam.ac.uk

References (Subscription Required)

Click to Expand
Issue

Vol. 65, Iss. 4 — 15 February 2002

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review D

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×