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Covariant effective action for loop quantum cosmology à la Palatini

Gonzalo J. Olmoa and Parampreet Singhb

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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.

Keywords

quantum gravity phenomenology

cosmological perturbation theory

physics of the early universe

Dates

Issue 01 (January 2009)

Received 25 November 2008, accepted for publication 5 December 2008

Published 15 January 2009



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