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Primordial bispectrum from inflation with background gauge fields · Around

2012

Primordial bispectrum from inflation with background gauge fields

Funakoshi, Hiroyuki, Yamamoto, Kei

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We study the primordial bispectrum of curvature perturbation in the uniform- density slicing generated by the interaction between the inflaton and isotropic background gauge fields.

We derive the action up to cubic order in perturbation and take into account all the relevant effects in the leading order of slow-roll expansion.
We first treat the quadratic vertices perturbatively and confirm the results of past studies, while identifying their regime of validity.
We then extend the analysis to include the effect of the quadratic vertices to all orders by introducing exact linear mode functions, allowing us to make accurate predictions long after horizon crossing where the features of both the power spectrum and the bispectrum are drastically different.

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