Cosmological perturbations in SFT inspired non-local scalar field models

Abstract

We study cosmological perturbations in models with a single non-local scalar field originating from the string field theory description of the rolling tachyon dynamics. We construct the equation for the energy density perturbations of the non-local scalar field and explicitly prove that for the free field it is identical to a system of local cosmological perturbation equations in a particular model with multiple (maybe infinitely many) local free scalar fields.

21 pages, no figures, v3: presentation improved, results unchanged, references added

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