Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-12-21
Phys.Rev.D77:063533,2008; Erratum-ibid.D79:129903,2009
Physics
High Energy Physics
High Energy Physics - Theory
5 pages, 2 figures. Sign error corrected and results generalized
Scientific paper
10.1103/PhysRevD.77.063533
We analyze the non-gaussian density perturbations generated in ekpyrotic/cyclic models based on heterotic M-theory. In this picture, two scalar fields produce nearly scale-invariant entropic perturbations during an ekpyrotic phase that are converted into curvature modes {\it after the ekpyrotic phase is complete} and just before the big bang. Both intrinsic non-linearity in the entropy perturbation and the conversion process contribute to non-gaussianity. The range of the non-gaussianity parameter $f_{NL}$ depends on how gradual the conversion process is and the steepness of the scalar field potential during the ekpyrotic phase. Although a wider range is possible, in principle, natural values of the ekpyrotic parameters combined with a gradual conversion process lead to values of $-60 \lesssim f_{NL} \lesssim +80$, typically much greater than slow-roll inflation but within the current observational bounds.
Lehners Jean-Luc
Steinhardt Paul J.
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