Primordial non-Gaussianities in new ekpyrotic cosmology

Physics – High Energy Physics

Scientific paper

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Particle-Theory And Field-Theory Models Of The Early Universe, Background Radiations, Quantum Cosmology, Quantum Fluctuations, Quantum Noise, And Quantum Jumps, Astronomical Observations

Scientific paper

We compute the non-Gaussianity of the curvature perturbation generated by ekpyrotic collapse with multiple fields. The transition from the multi-field scaling solution to a single-field dominated regime converts initial isocurvature field perturbations to an almost scale-invariant co-moving curvature perturbation. In the specific model of two fields, φ1 and φ2, with exponential potentials, -Viexp(-ciφi), we calculate the bispectrum of the resulting curvature perturbation. We find that the non-Gaussianity is dominated by non-linear evolution on super-Hubble scales and hence is of the local form. The non-linear parameter of the curvature perturbation is given by fNL = 5cj2/12, where cj is the exponent of the potential for the field which becomes sub-dominant at late times.

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