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Cancellation of one-loop time dependence in superhorizon curvature perturbations from all scales

Keisuke Inomata

  • William H. Miller III Department of Physics and Astronomy, Johns Hopkins University, 3400 N. Charles Street, Baltimore, Maryland, 21218, USA

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Phys. Rev. D 114, 103514 – Published 6 November, 2026

DOI: https://doi.org/10.1103/vzh3-jxpm

Abstract

We show the conservation of the superhorizon curvature perturbations at one-loop level in spatially flat gauge, including contributions from loop wave numbers on all scales in the decoupling limit, ε(≡−H˙/H2)→0. In contrast to previous works, we do not assume a hierarchy k≫q between the wave number of the loop integral, k, and that of the power spectrum, q, and we explicitly include the regime k≲q. Taking into account the nonlinear relation between the inflaton fluctuation and the curvature perturbation with the δN formalism, we show that the apparent time dependence of the one-loop curvature power spectrum cancels once all contributions, including boundary terms, are combined consistently.

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Phys. Rev. D 114, 103514– Published 6 November, 2026
  • Received 6 July 2026
  • Accepted 5 October 2026
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