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Abstract:

High resolution maps of the anisotropy of the microwave sky will yield invaluable clues as to the mechanisms involved in cosmic structure formation. One fundamental question they should answer is whether the fluctuations were Gaussian random noise, as predicted in inflationary models, or were nonGaussian as in theories based on symmetry breaking and cosmic defects. In the latter case there is the prospect of obtaining information regarding symmetry breaking at high energy scales, specifically the homotopy classes $\Pi_n$ of the vacuum manifold. In this paper we report on detailed calculations of the degree scale anisotropies predicted in the cosmic string, monopole texture and nontopological texture theories of structure formation, emphasising their distinct character from those predicted by inflation, and the bright prospects for experimental tests.

Abstract:

The inflationary cosmology is analyzed from the point of view of squeezed quantum states. As noted by Grishchuk and Sidorov, the amplification of quantum fluctuations into macroscopic perturbations which occurs during cosmic inflation is a process of quantum squeezing. We carefully develop the squeezed state formalism and derive the equations that govern the evolution of a gaussian initial state. We derive the power spectrum of density perturbations for a simple inflationary model and discuss its features. We conclude that the squeezed state formalism provides an interesting framework within which to study the amplification process, but,in disagreement with the claims of Grishchuk and Sidorov, that it does {\em not} provide us with any new physical results.