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Loop quantum gravity effects on inflation and the CMB

Shinji Tsujikawa1, Parampreet Singh2,3 and Roy Maartens1

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In loop quantum cosmology, the universe avoids a big bang singularity and undergoes an early and short super-inflation phase. During super-inflation, non-perturbative quantum corrections to the dynamics drive an inflaton field up its potential hill, thus setting the initial conditions for standard inflation. We show that this effect can raise the inflaton high enough to achieve sufficient e-foldings in the standard inflation era. We analyse the cosmological perturbations generated when slow-roll is violated after super-inflation and show that loop quantum effects can in principle leave an indirect signature on the largest scales in the CMB, with some loss of power and running of the spectral index.


PACS

04.60.Pp Loop quantum gravity, quantum geometry, spin foams

98.70.Vc Background radiations

98.80.Es Observational cosmology (including Hubble constant, distance scale, cosmological constant, early Universe, etc)

98.80.Qc Quantum cosmology

MSC

83F05 Cosmology

Subjects

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 24 (21 December 2004)

Received 10 September 2004

Published 22 November 2004



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