Symmetries and Loops in Inflation

Abstract

In this paper, we prove that the superhorizon conservation of the curvature perturbation zeta in single-field inflation holds as an operator statement. This implies that all zeta-correlators are time independent at all orders in the loop expansion. Our result follows directly from locality and diffeomorphism invariance of the underlying theory. We also explore the relationship between the conservation of zeta, the single-field consistency relation and the renormalization of composite operators.

31 pages, 1 figure; v2: references added + pedagogical improvements of Sec. 4

References in corpus (14)

• The Effective Field Theory of Inflation
• Starting the Universe: Stable Violation of the Null Energy Condition and Non-standard Cosmologies
• Quantum Contributions to Cosmological Correlations II: Can These Corrections Become Large?
• Solid Inflation
• Semiclassical relations and IR effects in de Sitter and slow-roll space-times
• Conformal Symmetries of Adiabatic Modes in Cosmology
• Multiple field inflation
• Operator Dictionaries and Wave Functions in AdS/CFT and dS/CFT
• First Search for Dark Matter Annihilation in the Sun Using the ANTARES Neutrino Telescope
• A Naturally Large Four-Point Function in Single Field Inflation
• The Zeta-Zeta Correlator Is Time Dependent
• Inflationary Infrared Divergences: Geometry of the Reheating Surface vs. delta N Formalism
• Classicality of the primordial perturbations
• Issues Concerning Loop Corrections to the Primordial Power Spectra

Cited by in corpus (87)

• Features and New Physical Scales in Primordial Observables: Theory and Observation
• Symmetries and Consistency Relations in the Large Scale Structure of the Universe
• An Infinite Set of Ward Identities for Adiabatic Modes in Cosmology
• The Cosmological Optical Theorem
• Inflation, Cosmic Perturbations and Non-Gaussianities
• Holography for inflation using conformal perturbation theory
• Loop Corrections to Standard Model Fields in Inflation
• Heavy-Lifting of Gauge Theories By Cosmic Inflation
• Loops in inflationary correlation functions
• One-particle-irreducible consistency relations for cosmological perturbations
• On Squeezed Limits in Single-Field Inflation - Part I
• De Sitter Diagrammar and the Resummation of Time
• Soft de Sitter Effective Theory
• Higher Spin Supersymmetry at the Cosmological Collider: Sculpting SUSY Rilles in the CMB
• Soft Theorems For Shift-Symmetric Cosmologies
• Consistency condition for inflation from (broken) conformal symmetry
• Stochastic Inflation at NNLO
• Consequences of Symmetries and Consistency Relations in the Large-Scale Structure of the Universe for Non-local bias and Modified Gravity
• The squeezed limit of the solid inflation three-point function
• BMS in Cosmology
• How Gaussian can our Universe be?
• One loop to rule them all: Perturbativity in the presence of ultra slow-roll dynamics
• Soft-Pion Theorems for Large Scale Structure
• Numerical evaluation of the bispectrum in multiple field inflation
• Non-Gaussianity Consistency Relations, Initial States and Back-reaction
• Entangled de Sitter from Stringy Axionic Bell pair I: An analysis using Bunch Davies vacuum
• Quantum entanglement in de Sitter space from Stringy Axion: An analysis using $\alpha$ vacua
• Cancellation of quantum corrections on the soft curvature perturbations
• The goldstone and goldstino of supersymmetric inflation
• Dynamical RG and Critical Phenomena in de Sitter Space
• The Hartree approximation in curved spacetimes revisited I: the effective potential in de Sitter
• Quantum aspects of chaos and complexity from bouncing cosmology: A study with two-mode single field squeezed state formalism
• The curvature perturbation at second order
• Constraints on Primordial Magnetic Fields from Inflation
• Asymptotic Symmetries in de Sitter and Inflationary Spacetimes
• Systematics of Adiabatic Modes: Flat Universes
• The Cosmological OTOC: Formulating new cosmological micro-canonical correlation functions for random chaotic fluctuations in Out-of-Equilibrium Quantum Statistical Field Theory
• Equal-time Consistency Relations in the Large-Scale Structure of the Universe
• Soft limits in holographic cosmology
• Cosmological spectrum of two-point correlation function from vacuum fluctuation of Stringy Axion field in De Sitter space: A study of the role of Quantum Entanglement
• Effective Field Theory of non-Attractor Inflation
• Proving the absence of large one-loop corrections to the power spectrum of curvature perturbations in transient ultra-slow-roll inflation within the path-integral approach
• The Weyl tensor correlator in cosmological spacetimes
• Les Houches lectures on inflationary observables and string theory
• Solid Soft Theorems
• Conformal Symmetries of FRW Accelerating Cosmologies
• Why Must Primordial Non-Gaussianity Be Very Small?
• Quantum gravity corrections to the conformally coupled scalar self-mass-squared on de Sitter II: kinetic-conformal cross terms
• Holographic inflation and the conservation of $\zeta$
• Quantum gravity corrections to the conformally coupled scalar self-mass-squared on de Sitter background
• Compactly supported linearised observables in single-field inflation
• Improvement of energy-momentum tensor and non-Gaussianities in holographic cosmology
• Symmetries of Vector Perturbations during the de Sitter Epoch
• Large gauge transformation, Soft theorem, and Infrared divergence in inflationary spacetime
• Effective Theory of Squeezed Correlation Functions
• Quantum Gravity Effect in Torsion Driven Inflation and CP violation
• On the initial condition of inflationary fluctuations
• Lagrangian space consistency relation for large scale structure
• Anisotropic separate universe and Weinberg's adiabatic mode
• Soft theorems for boosts and other time symmetries
• Quadratic Isocurvature Cross-Correlation, Ward Identity, and Dark Matter
• Incorporating Backreaction in One-Loop Corrections in Ultra-Slow-Roll Inflation
• Reconstructing the EFT of Inflation from Cosmological Data
• Unifying attractor and non-attractor models of inflation under a single soft theorem
• Conservation of $\zeta$ with radiative corrections from heavy field
• Towards the physical vacuum of cosmic inflation
• Infrared divergences for free quantum fields in cosmological spacetimes
• Approaches to linear local gauge-invariant observables in inflationary cosmologies
• Testing the Origin of Cosmological Magnetic Fields through the Large-Scale Structure Consistency Relations
• Radiative Corrections from Heavy Fast-Roll Fields during Inflation
• Single-Field Inflation and the Local Ansatz: Distinguishability and Consistency
• More on loops in reheating: Non-gaussianities and tensor power spectrum
• Loops in reheating and cosmological perturbations
• Loop corrections to primordial fluctuations from inflationary phase transitions
• Quantitative classicality in cosmological interactions during inflation
• On the breakdown of the curvature perturbation ζ during reheating
• Optimal bispectrum constraints on single-field models of inflation
• Classical branches and entanglement structure in the wavefunction of cosmological fluctuations
• Entropy mode loops and cosmological correlations during perturbative reheating
• On counterterms in cosmological perturbation theory
• Bunch-Davies initial conditions and non-perturbative inflationary dynamics in Numerical Relativity
• Adiabatic regularization of functional determinants in cosmology and radiative corrections during inflation
• Infrared Logarithms in Minisuperspace Inflation
• Weakly Broken Galileon Symmetry in Cosmology
• A Tail of Eternal Inflation
• Separate universe in multifield inflation: a phase-space approach
• Non-Gaussianity in D3-brane inflation