Second-Order Cosmological Perturbations from Inflation

Details Second-Order Cosmological Perturbations from Inflation Second-Order Cosmological Perturbations from Inflation

2002-09-09

arxiv.org/abs/astro-ph/0209156v3

Nucl.Phys. B667 (2003) 119-148

Astronomy and Astrophysics

Astrophysics

21 pages, LaTeX file. Much more detailed and extended revised version including two Appendices

Scientific paper

10.1016/S0550-3213(03)00550-9

We present the first computation of the cosmological perturbations generated during inflation up to second order in deviations from the homogeneous background solution. Our results, which fully account for the inflaton self-interactions as well as for the second-order fluctuations of the background metric, provide the exact expression for the gauge-invariant curvature perturbation bispectrum produced during inflation in terms of the slow-roll parameters or, alternatively, in terms of the scalar spectral $n_S$ and and the tensor to adiabatic scalar amplitude ratio $r$. The bispectrum represents a specific non-Gaussian signature of fluctuations generated by quantum oscillations during slow-roll inflation. However, our findings indicate that detecting the non-Gaussianity in the cosmic microwave background anisotropies emerging from the second-order calculation will be a challenge for the forthcoming satellite experiments.

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