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2011

Effects of Nonlinear Dispersion Relations on Non-Gaussianities

Ashoorioon, Amjad, Chialva, Diego, Danielsson, Ulf

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We investigate the effect of non-linear dispersion relations on the bispectrum.

In particular, we study the case were the modified relations do not violate the WKB condition at early times, focusing on a particular example which is exactly solvable: the Jacobson-Corley dispersion relation with quartic correction with positive coefficient to the squared linear relation.
We find that the corrections to the standard result for the bispectrum are suppressed by a factor $\frac{H^2}{p_c^2}$ where $p_c$ is the scale where the modification to the dispersion relation becomes relevant.
The modification is {\it mildly} configuration-dependent and equilateral configurations are more suppressed with respect to the local ones, by a factor of one percent.

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