Preheating and gravitational waves in large-field hilltop inflation

Fuente: arXiv
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Main Authors: Das, Diganta, Revankar, Shreyas
Format: Preprint
Published: 2025
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author Das, Diganta
Revankar, Shreyas
author_facet Das, Diganta
Revankar, Shreyas
contents The combined Planck, BICEP/Keck Array and BAO measurements of the scalar spectral index and the tensor-to-scalar ratio from the cosmic microwave background observations severely constrain or completely rule out several models of inflationary potentials. On the other hand, the data seems to favor concave potentials over convex ones. In this paper, we study preheating and gravitational waves after inflation in a large-field, regularized hilltop potential where inflation takes place in the concave plateau. The inflaton, $ϕ$, is coupled to a subdominant scalar field, $χ$, through a quartic coupling. After inflation ends, $ϕ$ oscillates about the potential minimum and becomes inhomogeneous. The growth of the fluctuation modes, $δϕ_k$ and $δχ_k$, in a homogeneous, oscillating background is analyzed in linear perturbation theory, revealing that small modes likely experience broad self-resonance or external parametric resonance. To determine if the resonances are sufficiently strong to cause unstable growth of the modes we perform a lattice simulation. The lattice simulations demonstrate that, although the initial inhomogeneities generate a stochastic gravitational wave background that remains below the present observational limit, the fluctuations do not grow exponentially, and the occupation numbers of $δϕ_k$ and $δχ_k$ remain close to zero.
format Preprint
id arxiv_https___arxiv_org_abs_2508_07442
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Preheating and gravitational waves in large-field hilltop inflation
Das, Diganta
Revankar, Shreyas
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
The combined Planck, BICEP/Keck Array and BAO measurements of the scalar spectral index and the tensor-to-scalar ratio from the cosmic microwave background observations severely constrain or completely rule out several models of inflationary potentials. On the other hand, the data seems to favor concave potentials over convex ones. In this paper, we study preheating and gravitational waves after inflation in a large-field, regularized hilltop potential where inflation takes place in the concave plateau. The inflaton, $ϕ$, is coupled to a subdominant scalar field, $χ$, through a quartic coupling. After inflation ends, $ϕ$ oscillates about the potential minimum and becomes inhomogeneous. The growth of the fluctuation modes, $δϕ_k$ and $δχ_k$, in a homogeneous, oscillating background is analyzed in linear perturbation theory, revealing that small modes likely experience broad self-resonance or external parametric resonance. To determine if the resonances are sufficiently strong to cause unstable growth of the modes we perform a lattice simulation. The lattice simulations demonstrate that, although the initial inhomogeneities generate a stochastic gravitational wave background that remains below the present observational limit, the fluctuations do not grow exponentially, and the occupation numbers of $δϕ_k$ and $δχ_k$ remain close to zero.
title Preheating and gravitational waves in large-field hilltop inflation
topic Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2508.07442