Inflationary Adler Conditions
arXiv:2208.14544 · doi:10.1103/PhysRevD.107.043534
Abstract
We derive a new soft theorem that corresponds to the spontaneous breaking of Lorentz boosts. This is motivated by the dynamics of inflation in the sub-horizon (flat-space) limit, where spacetime becomes flat but Lorentz boosts are still broken. In this limit, the scattering amplitudes become sensible observables. We relate the soft emission of a Goldstone boson to the (non-relativistic) Lorentz boost of the hard scattering amplitudes. This is the on-shell avatar of the spontaneous breaking of Lorentz boosts, analogous to the Adler zero of pions in the chiral symmetry breaking. We comment on several applications to inflation, including the demonstration that Dirac-Born-Infeld Inflation is the unique theory that has an emergent Lorentz invariance when the boosts are spontaneously broken.
36 pages, 3 figures
References in corpus (67)
- Non-Gaussian features of primordial fluctuations in single field inflationary models
- Planck 2018 results. X. Constraints on inflation
- The Effective Field Theory of Inflation
- Causality, Analyticity and an IR Obstruction to UV Completion
- DBI in the Sky
- Observational Signatures and Non-Gaussianities of General Single Field Inflation
- Quantum Contributions to Cosmological Correlations
- Scalar Speed Limits and Cosmology: Acceleration from D-cceleration
- Single field consistency relation for the 3-point function
- Quasi-Single Field Inflation and Non-Gaussianities
- Starting the Universe: Stable Violation of the Null Energy Condition and Non-standard Cosmologies
- On graviton non-Gaussianities during inflation
- Signatures of Supersymmetry from the Early Universe
- Quantum Contributions to Cosmological Correlations II: Can These Corrections Become Large?
- Effective Field Theories from Soft Limits
- Effective field theory approach to quasi-single field inflation and effects of heavy fields
- Non-Gaussianity as a Particle Detector
- The Effective Field Theory of Multifield Inflation
- On the consistency relation of the 3-point function in single field inflation
- Conformal consistency relations for single-field inflation
- Equilateral Non-Gaussianity and New Physics on the Horizon
- On-Shell Recursion Relations for Effective Field Theories
- Quasi-Single Field Inflation with Large Mass
- The Cosmological Bootstrap: Weight-Shifting Operators and Scalar Seeds
- New Recursion Relations and a Flat Space Limit for AdS/CFT Correlators
- A Periodic Table of Effective Field Theories
- Signs of Analyticity in Single-Field Inflation
- Unifying Relations for Scattering Amplitudes
- Prospects for Cosmological Collider Physics
- Building a Boostless Bootstrap for the Bispectrum
- Linking the Singularities of Cosmological Correlators
- Constraints on Single-Field Inflation from the BOSS Galaxy Survey
- Soft Bootstrap and Supersymmetry
- In Search of Large Signals at the Cosmological Collider
- The Boostless Bootstrap: Amplitudes without Lorentz boosts
- Cosmological Collider Physics and the Curvaton
- Vector Effective Field Theories from Soft Limits
- The Scalar Chemical Potential in Cosmological Collider Physics
- Higher Spin Supersymmetry at the Cosmological Collider: Sculpting SUSY Rilles in the CMB
- Locality and Unitarity from Singularities and Gauge Invariance
- Recursion relations from soft theorems
- New soft theorems for the gravity dilaton and the Nambu-Goldstone dilaton at subsubleading order
- Scattering Amplitudes from Soft Theorems and Infrared Behavior
- Geometric Soft Theorems
- Bootstrapping Large Graviton non-Gaussianities
- From Amplitudes to Contact Cosmological Correlators
- Positivity bounds on effective field theories with spontaneously broken Lorentz invariance
- Geometry-Kinematics Duality
- New Soft Theorems for Goldstone Boson Amplitudes
- Dynamical Constraints on RG Flows and Cosmology
- Positivity Bounds without Boosts
- Probing Scalar Effective Field Theories with the Soft Limits of Scattering Amplitudes
- Ward Identity and Scattering Amplitudes for Nonlinear Sigma Models
- Spontaneously Broken Boosts in CFTs
- The Infrared Structure of Nambu-Goldstone Bosons
- The Cosmological Phonon: Symmetries and Amplitudes on Sub-Horizon Scales
- Uniqueness from gauge invariance and the Adler zero
- Spontaneously broken boosts and the Goldstone continuum
- Soft theorems from anomalous symmetries
- Multi-spin soft bootstrap and scalar-vector Galileon
- Nonrelativistic effective field theories with enhanced symmetries and soft behavior
- Scattering Amplitudes and Soft Theorems in Multi-Flavor Galileon Theories
- The Boostless Bootstrap and BCFW Momentum Shifts
- On-Shell Recursion Relations for Nonrelativistic Effective Field Theories
- Fractional soft limits
- Exceptional nonrelativistic effective field theories with enhanced symmetries
- Extended DBI and its generalizations from graded soft theorems