Primordial Power Spectrum and Bispectrum from Lattice Simulations of Axion-U(1) Inflation

Abstract

We present primordial non-Gaussianity predictions from a new high-precision code for simulating axion-U(1) inflation on a discrete lattice. We measure the primordial scalar curvature power spectrum and bispectrum from our simulations, determining their dependence on both scale and axion-gauge coupling strength. Both the gauge-sourced power spectrum and the bispectrum exhibit a strong blue tilt due to our choice of an $\alpha$-attractor inflaton potential. We provide fitting functions for the power spectrum and bispectrum that accurately reproduce these statistics across a wide range of scales and coupling strengths. While our fitting function for the bispectrum has a separable form, results from high-resolution simulations demonstrate that the full shape is not separable. Thus, our simulations generate realizations of primordial curvature perturbations with nontrivial correlators that cannot be generated using standard techniques for primordial non-Gaussianity. We derive bounds on the axion-gauge coupling strength based on the bispectrum constraints from the cosmic microwave background, demonstrating a new method for constraining inflationary primordial non-Gaussianity by simulating the nonlinear dynamics.

arXiv comment21 pages, 12 figures

References in corpus (48)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Planck 2013 results. XVI. Cosmological parameters
• LSST: from Science Drivers to Reference Design and Anticipated Data Products
• Particle Physics Models of Inflation and the Cosmological Density Perturbation
• Dark Energy Survey Year 3 Results: Cosmological Constraints from Galaxy Clustering and Weak Lensing
• A General Analytic Formula for the Spectral Index of the Density Perturbations produced during Inflation
• BICEP / Keck XIII: Improved Constraints on Primordial Gravitational Waves using Planck, WMAP, and BICEP/Keck Observations through the 2018 Observing Season
• Superconformal Inflationary $\alpha$-Attractors
• Extragalactic Science, Cosmology and Galactic Archaeology with the Subaru Prime Focus Spectrograph (PFS)
• The Atacama Cosmology Telescope: Cosmological Parameters from the 2008 Power Spectra
• A Measurement of the Cosmic Microwave Background Damping Tail from the 2500-square-degree SPT-SZ survey
• Large Nongaussianity in Axion Inflation
• Naturally inflating on steep potentials through electromagnetic dissipation
• Adiabatic Modes in Cosmology
• Parity violation in the Cosmic Microwave Background from a pseudoscalar inflaton
• Phenomenology of a Pseudo-Scalar Inflaton: Naturally Large Nongaussianity
• Hunting for Primordial Non-Gaussianity in the Cosmic Microwave Background
• LATTICEEASY: A Program for Lattice Simulations of Scalar Fields in an Expanding Universe
• A review of Axion Inflation in the era of Planck
• Lattice study of classical inflaton decay
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological implications of the large-scale two-point correlation function
• DESI 2024 VII: Cosmological Constraints from the Full-Shape Modeling of Clustering Measurements
• Large-scale Bias and Efficient Generation of Initial Conditions for Non-Local Primordial Non-Gaussianity
• Non-Gaussianities and chiral gravitational waves in natural steep inflation
• Non-Gaussian Spikes from Chaotic Billiards in Inflation Preheating
• CosmoLattice
• A numerical study of pseudoscalar inflation with an axion-gauge field coupling
• Lattice formulation of axion inflation. Application to preheating
• Gauge-field production during axion inflation in the gradient expansion formalism
• δN formalism
• On the validity of the perturbative description of axions during inflation
• Lattice Simulations of Axion-U(1) Inflation
• New constraint on the tensor-to-scalar ratio from the $Planck$ and BICEP/Keck Array data using the profile likelihood
• Parity-Odd and Even Trispectrum from Axion Inflation
• Inflationary Butterfly Effect: Non-perturbative Dynamics From Small-Scale Features
• Instability in axion inflation with strong backreaction from gauge modes
• Axion inflation in the strong-backreaction regime: decay of the Anber-Sorbo solution
• Ultra-Slow-Roll Inflation on the Lattice I: Backreaction and Nonlinear Effects
• Preheating and Entropy Perturbations in Axion Monodromy Inflation
• Lattice simulations of Abelian gauge fields coupled to axions during Inflation
• Energy-momentum tensor and helicity for gauge fields coupled to a pseudo-scalar inflaton
• Unveiling the nonlinear dynamics of a rolling axion during inflation
• The non-linear dynamics of axion inflation: a detailed lattice study
• Parity Violating Non-Gaussianity from Axion-Gauge Field Dynamics
• Parity-violating scalar trispectrum from a rolling axion during inflation
• Lattice simulations of axion-U(1) inflation: gravitational waves, magnetic fields, and scalar statistics
• Ultra-Slow-Roll Inflation on the Lattice II: Nonperturbative Curvature Perturbation
• Primordial Power Spectrum and Bispectrum from Lattice Simulations of Axion-U(1) Inflation

Cited by in corpus (6)

• Primordial Power Spectrum and Bispectrum from Lattice Simulations of Axion-U(1) Inflation
• Gravitational waves from axion inflation in the gradient expansion formalism. Part I. Pure axion inflation
• Perturbative limits on axion-SU(2) gauge dynamics during inflation from the energy density of spin-2 particles
• Nonlinear Lattice Framework for Inflation: Bridging stochastic inflation and the $\delta N$ formalism
• Classical equipartition dynamics between axions and non-Abelian gauge fields
• Parity-odd Four-Point Correlation Function from DESI Data Release 1 Luminous Red Galaxy Sample