Towards a Covariant Loop Quantum Gravity

Details Towards a Covariant Loop Quantum Gravity Towards a Covariant Loop Quantum Gravity

2006-08-30

arxiv.org/abs/gr-qc/0608135v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, review, draft chapter for the book "Approaches to quantum gravity", being prepared by Daniele Oriti for Cambridge Un

Scientific paper

We review the canonical analysis of the Palatini action without going to the time gauge as in the standard derivation of Loop Quantum Gravity. This allows to keep track of the Lorentz gauge symmetry and leads to a theory of Covariant Loop Quantum Gravity. This new formulation does not suffer from the Immirzi ambiguity, it has a continuous area spectrum and uses spin networks for the Lorentz group. Finally, its dynamics can easily be related to Barrett-Crane like spin foam models.

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