Position-Space Description of the Cosmic Microwave Background and Its Temperature Correlation Function

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  • 7 December 2000
Abstract
We suggest that the angular CMB temperature correlation function C(theta) provides a direct and practical connection between the experimental data and the fundamental cosmological quantities. Evolution of inhomogeneities in the pre-recombination universe is studied using their Green's functions in position space. We find that a primordial adiabatic point perturbation propagates as a sharp-edged spherical acoustic wave. Density singularities at the wave front give rise to a feature in the CMB correlation function distinguished by a dip at theta ~ 1.2 deg. Characteristics of the feature are sensitive to the cosmological parameter values, in particular to the total and the baryon densities.

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