Critical Overview of Loops and Foams

Details Critical Overview of Loops and Foams Critical Overview of Loops and Foams

2010-09-22

arxiv.org/abs/1009.4475v1

Phys.Rept.506:41-86,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

75 pages

Scientific paper

10.1016/j.physrep.2011.05.002

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.

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