Causality and the Power Spectrum

Astronomy and Astrophysics – Astrophysics

Scientific paper

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uuencoded postscript file, 12 pages, 1 figure. Latex and postscript versions also available at http://euclid.tp.ph/Papers/inde

Scientific paper

10.1103/PhysRevD.53.618

We find constraints on the generation of super-causal-horizon energy perturbations from a smooth initial state, under a simple physical scheme. We quantify these constraints by placing the upper limit $\lambda_c = 3.0 d_H$ on the wavelength at which the power spectrum turns over to $k^4$ behavior. This means that sub-horizon processes can generate significant power on scales further outside the horizon than one might naively expect. The existence of this limit may have important implications for the interpretation of the small scale power spectrum of the Cosmic Microwave Background.

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