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arxiv 1111.3535 v2 pith:O27KG7EV submitted 2011-11-15 gr-qc astro-ph.COhep-th

Anomaly-free scalar perturbations with holonomy corrections in loop quantum cosmology

Thomas Cailleteau , Jakub Mielczarek , Aurelien Barrau , Julien Grain This is my paper
classification gr-qc astro-ph.COhep-th
keywords perturbationsscalaranomaliesanomaly-freecorrectionscosmologycounter-termsholonomy
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Holonomy corrections to scalar perturbations are investigated in the loop quantum cosmology framework. Due to the effective approach, modifications of the algebra of constraints generically lead to anomalies. In order to remove those anomalies, counter-terms are introduced. We find a way to explicitly fulfill the conditions for anomaly freedom and we give explicit expressions for the counter-terms. Surprisingly, the "new quantization scheme" naturally arises in this procedure. The gauge invariant variables are found and equations of motion for the anomaly-free scalar perturbations are derived. Finally, some cosmological consequences are discussed qualitatively.

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Cited by 3 Pith papers

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    Loop quantum cosmology models harbor physical singularities or inconsistent space-time structures, with a new effective Friedmann equation revealing a sub-Planckian bounce after a singularity at infinite scale factor ...

  3. Inflation from Covariant Signature Change: A Geometric Mechanism

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    A covariant signature change from Euclidean to Lorentzian geometry on a curvature-regular hypersurface generates inflation via an effective geometric stress tensor, with duration set by the interpolator slope relative...