Abstract
We present a method by which cosmological perturbations can be quantitatively studied insingle-field and multi-field inflationary models beyond linear perturbation theory. Anon-linear generalization of the gauge-invariant Sasaki–Mukhanov variables is used in along wavelength approximation. These generalized variables remain invariantunder time slicing changes on long wavelengths. The equations they obey arerelatively simple and can be formulated for a number of time slicing choices.Initial conditions are set after horizon crossing and the subsequent evolutionis fully non-linear. We briefly discuss how these methods can be implementednumerically in the study of non-Gaussian signatures from specific inflationary models.
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