Features in the primordial power spectrum of double D-term inflation

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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42 pages, 8 figures. Minor changes, version accepted in Nucl. Phys. B

Scientific paper

10.1016/S0550-3213(00)00301-1

Recently, there has been some interest for building supersymmetric models of double inflation. These models, realistic from a particle physics point of view, predict a broken-scale-invariant power spectrum of primordial cosmological perturbations, that may explain eventual non-trivial features in the present matter power spectrum. In previous works, the primordial spectrum was calculated using analytic slow-roll approximations. However, these models involve a fast second-order phase transition during inflation, with a stage of spinodal instability, and an interruption of slow-roll. For our previous model of double D-term inflation, we simulate numerically the evolution of quantum fluctuations, taking into account the spinodal modes, and we show that the semi-classical approximation can be employed even during the transition, due to the presence of a second inflaton field. The primordial power spectrum possesses a rich structure, and possibly, a non-Gaussian spike on observable scales.

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