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Critical Overview of Loops and Foams
Alexandrov S., ROCHE P.
Physics Reports 506, 3-4 (2011) 41-86 - http://hal.archives-ouvertes.fr/hal-00520869
Physics/General Relativity and Quantum Cosmology
Critical Overview of Loops and Foams
Sergey Alexandrov ()1, Philippe ROCHE ()1
1:  LPTA - Laboratoire de Physique Théorique et Astroparticules
http://www.lpta.in2p3.fr/
CNRS : UMR5207 – IN2P3 – Université Montpellier II - Sciences et techniques
Bât 13- 1er Et. - CC 070 Place Eugène Bataillon 34095 MONTPELLIER CEDEX 5
France
This is a review of the present status of loop and spin foam approaches to quantization of four-dimensional general relativity. It aims at raising various issues which seem to challenge some of the methods and the results often taken as granted in these domains. A particular emphasis is given to the issue of diffeomorphism and local Lorentz symmetries at the quantum level and to the discussion of new spin foam models. We also describe modifications of these two approaches which may overcome their problems and speculate on other promising research directions.
English
2010-09-22

Physics Reports (Phys. Rep.)
Publisher Elsevier
ISSN 0370-1573 
international
Article in peer-reviewed journal
2011-05-17
506
3-4
41-86

75 pages
LPTA:10-063

Fulltext link: 
http://fr.arXiv.org/abs/1009.4475