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Lattice calculation of non-Gaussianity from preheating

Alex Chambers, Arttu Rajantie

Abstract

If light scalar fields are present at the end of inflation, their non-equilibrium dynamics such as parametric resonance or a phase transition can produce non-Gaussian density perturbations. We show how these perturbations can be calculated using non-linear lattice field theory simulations and the separate universe approximation. In the massless preheating model, we find that some parameter values are excluded while others lead to acceptable but observable levels of non-Gaussianity. This shows that preheating can be an important factor in assessing the viability of inflationary models.

Lattice calculation of non-Gaussianity from preheating

Abstract

If light scalar fields are present at the end of inflation, their non-equilibrium dynamics such as parametric resonance or a phase transition can produce non-Gaussian density perturbations. We show how these perturbations can be calculated using non-linear lattice field theory simulations and the separate universe approximation. In the massless preheating model, we find that some parameter values are excluded while others lead to acceptable but observable levels of non-Gaussianity. This shows that preheating can be an important factor in assessing the viability of inflationary models.

Paper Structure

This paper contains 11 equations, 1 figure, 1 table.

Figures (1)

  • Figure 1: The dependence of $N=\ln a$ on $\chi_{\rm i}$ measured at $H=5.53\times 10^{-12} M_{\rm Pl}$ for $g^2/\lambda=1.192$ (unfilled circles) and $g^2/\lambda=1.875$ (filled circles). The curves are quadratic fits (\ref{['equ:quadfit']}).