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    Lattice simulations of scalar-induced gravitational waves from inflation

    Angelo Caravano1,*, Gabriele Franciolini2,3,†, and Sébastien Renaux-Petel4,‡

    • *Contact author: a.caravano@uva.nl
    • †Contact author: gabriele.franciolini@unipd.it
    • ‡Contact author: renaux@iap.fr

    Phys. Rev. D 114, 063530 – Published 16 September, 2026

    DOI: https://doi.org/10.1103/rzyb-52jx

    Abstract

    Scalar-induced gravitational waves (SIGWs) provide a powerful probe of inflationary dynamics on scales far smaller than those accessible to the cosmic microwave background and large-scale structure. In scenarios with a transient ultraslow-roll phase, the curvature power spectrum can be strongly enhanced on small scales, potentially generating an observable stochastic GW background. In this regime, scalar dynamics during inflation can become nonlinear, challenging the validity of standard perturbative predictions. Existing semianalytical calculations of SIGWs rely on the linear evolution of inflation fluctuations. In this work, we compute SIGWs from USR inflation using lattice simulations. We evolve the inflaton field nonlinearly during inflation and extract the curvature perturbation nonperturbatively, then simulate its postreheating horizon reentry by evolving the Newtonian potential linearly while retaining the full non-Gaussian structure of the initial conditions for the primordial fluctuations in the tensor source. For moderate non-Gaussianity, the semianalytical prediction captures the correct order of magnitude of the GW signal but receives important corrections. When inflationary non-Gaussianities are large, it can fail dramatically in both amplitude and spectral shape, independently of the overall size of the tensor power spectrum. Our results show that reliable predictions of SIGWs in such scenarios require nonperturbative control of the inflationary scalar dynamics. The code used for this work is available here.

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    See Also

    Ultraslow-roll inflation on the lattice: Backreaction and nonlinear effects

    Angelo Caravano, Gabriele Franciolini, and Sébastien Renaux-Petel
    Phys. Rev. D 111, 063518 (2025)

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