Covariant Effective Action for Loop Quantum Cosmology a la Palatini

Details Covariant Effective Action for Loop Quantum Cosmology a la Palatini Covariant Effective Action for Loop Quantum Cosmology a la Palatini

2008-06-17

arxiv.org/abs/0806.2783v2

JCAP 0901:030,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, 1 figure, minor revision to match published version (JCAP), presentation and abstract improved, references added

Scientific paper

10.1088/1475-7516/2009/01/030

In loop quantum cosmology, non-perturbative quantum gravity effects lead to the resolution of the big bang singularity by a quantum bounce without introducing any new degrees of freedom. Though fundamentally discrete, the theory admits a continuum description in terms of an effective Hamiltonian. Here we provide an algorithm to obtain the corresponding effective action, establishing in this way the covariance of the theory for the first time. This result provides new insights on the continuum properties of the discrete structure of quantum geometry and opens new avenues to extract physical predictions such as those related to gauge invariant cosmological perturbations.

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