Primordial quantum nonequilibrium and largescale cosmic anomalies
Abstract
We study incomplete relaxation to quantum equilibrium at long wavelengths, during a preinflationary phase, as a possible explanation for the reported largescale anomalies in the cosmic microwave background. Our scenario makes use of the de BroglieBohm pilotwave formulation of quantum theory, in which the Born probability rule has a dynamical origin. The largescale power deficit could arise from incomplete relaxation for the amplitudes of the primordial perturbations. We show, by numerical simulations for a spectator scalar field, that if the preinflationary era is radiation dominated then the deficit in the emerging power spectrum will have a characteristic shape (an inversetangent dependence on wave number k , with oscillations). It is found that our scenario is able to produce a power deficit in the observed region and of the observed (approximate) magnitude for an appropriate choice of cosmological parameters. We also discuss the largescale anisotropy, which might arise from incomplete relaxation for the phases of the primordial perturbations. We present numerical simulations for phase relaxation, and we show how to define characteristic scales for amplitude and phase nonequilibrium. The extent to which the data might support our scenario is left as a question for future work. Our results suggest that we have a potentially viable model that might explain two apparently independent cosmic anomalies by means of a single mechanism.
 Publication:

Physical Review D
 Pub Date:
 August 2015
 DOI:
 10.1103/PhysRevD.92.043520
 arXiv:
 arXiv:1407.8262
 Bibcode:
 2015PhRvD..92d3520C
 Keywords:

 98.80.Cq;
 Particletheory and fieldtheory models of the early Universe;
 Astrophysics  Cosmology and Nongalactic Astrophysics;
 High Energy Physics  Theory;
 Quantum Physics
 EPrint:
 40 pages, 16 figures, 5 tables. Minor improvements in v2