Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 8 (2012), 024, 18 pages      arXiv:1109.0052      https://doi.org/10.3842/SIGMA.2012.024
Contribution to the Special Issue “Loop Quantum Gravity and Cosmology”

Novel Possibility of Nonstandard Statistics in the Inflationary Spectrum of Primordial Inhomogeneities

Gabriel León a and Daniel Sudarsky b
a) Department of Physics, University of Trieste, Strada Costiera 11, 34014 Trieste, Italy
b) Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, México D.F. 04510, México

Received August 31, 2011, in final form April 16, 2012; Published online April 21, 2012

Abstract
Inflation is considered one of the cornerstones of modern cosmology. However, the account of the origin of cosmic structure, as provided by the standard inflationary paradigm, is not fully satisfactory. The fundamental issue is the inability of the usual account to point out the physical mechanism responsible for generating the inhomogeneity and anisotropy of our Universe, starting from the exactly homogeneous and isotropic vacuum state associated with the early inflationary regime. We briefly review this issue here together with the proposal to address this shortcoming in terms of a dynamical collapse of the vacuum state of the inflaton field, which has been considered in previous works. The main goal of this manuscript is to discuss certain statistical aspects associated with the collapse and its implications in the primordial spectrum, particularly those connected with the possible appearance of a novel type of unusual correlations.

Key words: inflation; cosmology; quantum gravity.

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