Effective Field Theory of Loop Quantum Cosmology

Abstract

Quantum cosmology is traditionally formulated in a minisuperspace setting, implicitly averaging fields over space to obtain homogeneous models. For universal reasons related to the uncertainty principle, quantum corrections then depend on the size of the averaging volume. In minisuperspace truncations, the value of this volume remains an arbitrary parameter devoid of physical meaning, but in an effective field theory it is identified with the infrared scale of inhomogeneous modes. Moreover, the infrared scale is running during gravitational collapse, when regions in which homogeneity remains approximately valid shrink to increasingly smaller co-moving sizes. Conceptual implications of this infrared renormalization for perturbative inhomogeneity in quantum cosmology are presented here, mainly for the example of loop quantum cosmology. Several claims made in this framework are altered by infrared renormalization.

arXiv comment21 pages, invited contribution to special issue "Loop Quantum Gravity and Non-Perturbative Approaches to Quantum Cosmology"

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Cited by in corpus (10)

• Non-covariance of the dressed-metric approach in loop quantum cosmology
• Phase space analysis of the bouncing universe with stringy effects
• Loop quantum gravity, signature change, and the no-boundary proposal
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• Big-Bounce in Quantum f(R)-Cosmology: Polymer Dynamics with Internal Time