The squeezed limit of the solid inflation three-point function

Abstract

The recently proposed model of 'solid inflation' features a peculiar three-point function for scalar perturbations with an anisotropic, purely quadrupolar, squeezed limit. We confirm this result as well as the overall amplitude of the three point-function via an extremely simple computation, where we focus on the squeezed limit from the start and follow the standard logic adopted in deriving the consistency relations. Our system violates the consistency relations, but in the squeezed limit the three-point function can still be traded for a background-dependent two-point function, which is immediate to compute. Additionally, we use these simple methods to derive some new results - namely, certain squeezed limits of the three-point correlators involving vector and tensor perturbations as well.

9 pages (8 pages main text; 1 page Appendix)

References in corpus (5)

• The Effective Field Theory of Inflation
• Starting the Universe: Stable Violation of the Null Energy Condition and Non-standard Cosmologies
• On the consistency relation of the 3-point function in single field inflation
• Anisotropy in solid inflation
• Quantization of Perturbations in an Inflating Elastic Solid

Cited by in corpus (48)

• Cosmological Backgrounds of Gravitational Waves
• Planck 2015 results. XVII. Constraints on primordial non-Gaussianity
• Science with the space-based interferometer LISA. IV: Probing inflation with gravitational waves
• Cosmology with the Laser Interferometer Space Antenna
• Planck 2018 results. IX. Constraints on primordial non-Gaussianity
• Building a Boostless Bootstrap for the Bispectrum
• Probing Anisotropies of the Stochastic Gravitational Wave Background with LISA
• Imprints of Massive Primordial Fields on Large-Scale Structure
• Inflationary tensor fossils in large-scale structure
• Primordial gravitational waves in supersolid inflation
• Distinctive signatures of space-time diffeomorphism breaking in EFT of inflation
• Tensor Squeezed Limits and the Higuchi Bound
• Bootstrapping Large Graviton non-Gaussianities
• On the Symmetries of Cosmological Perturbations
• Multimessenger Cosmology: correlating CMB and SGWB measurements
• The Hunt for Primordial Interactions in the Large Scale Structures of the Universe
• Testing the Early Universe with Anisotropies of the Gravitational Wave Background
• The expected anisotropy in solid inflation
• Clustering Fossils in Solid Inflation
• Anisotropic tensor power spectrum at interferometer scales induced by tensor squeezed non-Gaussianity
• Massive and modified gravity as self-gravitating media
• Photon-graviton scattering: A new way to detect anisotropic gravitational waves?
• Gaugid inflation
• Cross-correlations as a Diagnostic Tool for Primordial Gravitational Waves
• Constraints on anisotropic primordial non-Gaussianity from intrinsic alignments of SDSS-III BOSS galaxies
• Constraints on long-lived, higher-spin particles from galaxy bispectrum
• CMB B-mode non-Gaussianity: optimal bispectrum estimator and Fisher forecasts
• Solid Soft Theorems
• Solid Consistency
• Possible Signatures of Inflationary Particle Content: Spin-2 Fields
• Angular dependence of primordial trispectra and CMB spectral distortions
• Cosmological Perturbations and the Weinberg Theorem
• Platonic solids back in the sky: Icosahedral inflation
• Primordial Stochastic Gravitational Wave Background Anisotropies: in-in Formalization and Applications
• Probing parity-odd bispectra with anisotropies of GW $V$ modes
• Primordial Non-Gaussianity in Supersolid Inflation
• Large Scale Suppression of Scalar Power on a Spatial Condensation
• Primordial tensor bispectra in $\mu$-CMB cross-correlations
• Effective Field Theory of Gravitating Continuum: Solids, Fluids, and Aether Unified
• Zoology of Graviton non-Gaussianities
• Primordial Tensor Non-Gaussianity from Massive Gravity
• Shift-symmetric $SO(N)$ multi-Galileon
• The spatial gauge-dependence of single-field inflationary bispectra
• Inflationary tensor fossils deformed by solid matter -- scalar field interaction
• Inflation driven by scalar field and solid matter
• Spinning Guest Fields during Inflation: Leftover Signatures
• Tensor Adiabatic Modes and Consistency Relations with Primordial Axion-Gauge Fields
• Primordial gravitational waves and perturbations during an inhomogeneous inflation