Statistics of the Microwave Background Anisotropies Caused by the Squeezed Cosmological Perturbations

Abstract

It is likely that the observed large-angular-scale anisotropies in the microwave background radiation are induced by the cosmological perturbations of quantum-mechanical origin. Such perturbations are now placed in squeezed vacuum quantum states and, hence, are characterized by large variances of their amplitude. The statistical properties of the anisotropies should reflect the underlying statistics of the squeezed vacuum quantum states. The theoretical variances for the temperature angular correlation function are derived and described quantitatively. It is shown that they are indeed large. Unfortunately, these large theoretical statistical uncertainties will make the extraction of cosmological information from the measured anisotropies a much more difficult problem than we wanted it to be.

33 pages REVTEX 3.0, Direct all correspondence to L. P. Grishchuk, [email protected]

References in corpus (8)

• Cosmic Temperature Fluctuations from Two Years of COBE DMR Observations
• On matching conditions for cosmological perturbations
• Density Perturbations of Quantum Mechanical Origin and Anisotropy of the Microwave Background
• Relic Gravitational Waves and Limits on Inflation
• Cosmological Perturbations of Quantum-Mechanical Origin and Anisotropy of the Microwave Background
• Angular Power Spectrum of the Microwave Background Anisotropy seen by the COBE Differential Microwave Radiometer
• Cosmic Variance in CMB Anisotropies: From $1^{\circ }$ to COBE
• Cosmological Rotation of Quantum-Mechanical Origin and Anisotropy of the Microwave Background

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