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Lattice Simulations of Axion-U(1) Inflation
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We present the first nonlinear lattice simulation of an axion field coupled to a U(1) gauge field during inflation. We use it to fully characterize the statistics of the primordial curvature perturbation {\zeta}. We find high-order statistics to be essential in describing non-Gaussianity of {\zeta} in the linear regime of the theory. On the contrary, non-Gaussianity is suppressed when the dynamics becomes nonlinear. This relaxes bounds from overproduction of primordial black holes, allowing for an observable gravitational waves signal at pulsar timing array and interferometers scales. Our work establishes lattice simulations as a crucial tool to study the inflationary epoch and its predictions.
Forward citations
Cited by 8 Pith papers
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Nonlinear Lattice Framework for Inflation: Bridging stochastic inflation and the $\delta{N}$ formalism
A shear-free locally FLRW lattice framework for single-field inflation captures spatially varying expansion, curvature corrections, and nonlinear δN observables at a fraction of the cost of full numerical relativity.
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Axion Inflation: Perturbative control in the strong backreaction regime
Axion inflation with strong gauge-field backreaction is generically non-perturbative for ξ ≳ 2.5, yet a newly found steady 'mild backreaction' phase at large β can stay perturbatively controlled.
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Ab Initio Cosmological Simulations: From Inflation to Present-Day Structure Formation
Nonlinear axion-U(1) inflation, simulated on a lattice and fed into N-body simulations, boosts small-scale structure and high-redshift halo counts by up to ~200% relative to standard single-field initial conditions.
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Axion Inflation with a Massive Abelian Gauge Field
A massive Abelian gauge field axially coupled to the inflaton yields tachyonic production only for |ξ|>m/H, with sourced CMB curvature power suppressed as ~1/m̄²–1/m̄³ at fixed backreaction, allowing strong friction f...
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CosmoLattice 2.0
CosmoLattice v2.0 extends lattice cosmology simulations with non-minimal scalars, ALP–gauge couplings, defect networks, low-storage RK integrators, optimized GWs, and O(10) GPU speedups.
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High-frequency gravitational waves from axion inflation in the weak-backreaction regime
Even in the weak-backreaction regime, axion inflation produces high-frequency primordial gravitational waves many orders of magnitude above the vacuum spectrum, peaking around MHz–GHz.
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Axion USR Inflation
In axion inflation with an intermediate ultra-slow-roll phase, the instability parameter collapses at the start of USR, terminating gauge production and yielding a two-peak power spectrum with P_R ∝ k^m, m>4.
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Pure Natural Inflation Passes the ACT
Pure natural inflation remains viable against latest ACT+DESI constraints, with a non-trivial fraction of parameter space allowed under standard reheating scenarios.
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