Quantum Contributions to Cosmological Correlations

Abstract

The ``in-in'' formalism is reviewed and extended, and applied to the calculation of higher-order Gaussian and non-Gaussian correlations in cosmology. Previous calculations of these correlations amounted to the evaluation of tree graphs in the in-in formalism; here we also consider loop graphs. It turns out that for some though not all theories, the contributions of loop graphs as well as tree graphs depend only on the behavior of the inflaton potential near the time of horizon exit. A sample one-loop calculation is presented.

39 pages

References in corpus (5)

• Non-Gaussianity from Inflation: Theory and Observations
• Single field consistency relation for the 3-point function
• Quantum effects can render w<-1 on cosmological scales
• Two Loop Scalar Self-Mass during Inflation
• Renormalization of initial conditions and the trans-Planckian problem of inflation

Cited by in corpus (655)

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• Consistency relations in multi-field inflation
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• Soft theorems for boosts and other time symmetries
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• Entropy production in inflation from spectator loops
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• Damped Corrections to Inflationary Spectra from a Fluctuating Cutoff
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• Primordial anisotropies from cosmic strings during inflation
• The Cosmological Slavnov-Taylor Identity from BRST Symmetry in Single-Field Inflation
• Non-perturbative analysis for a massless minimal quantum scalar with $V(\varphi )=\lambda {\varphi }^4/4!+\beta {\varphi }^3/3!$ in the inflationary de Sitter spacetime
• Scalar Bispectrum Beyond Slow-Roll in the Unified EFT of Inflation
• Relativistic invariance of the vacuum
• Anisotropic non-gaussianity with noncommutative spacetime
• Cosmology from String T-duality and zero-point length
• Eliminating infrared divergences in an inflationary cosmology
• Out of time ordered effective dynamics of a quartic oscillator
• Quantum Modifications to Gravity Waves in de Sitter Spacetime
• Bispectrum at 1-loop in the Effective Field Theory of Inflation
• On Quantum Simulation Of Cosmic Inflation
• Hartree approximation in curved spacetimes revisited II: The semiclassical Einstein equations and de Sitter self-consistent solutions
• Quantum corrections to inflaton dynamics, the semi-classical approach and the semi-classical limit
• Quantum corrections during inflation and conservation of adiabatic perturbations
• A Flat Space Analogue for the Quantum Origin of Structure
• New Interpretations of the Cosmological Preference for a Negative Neutrino Mass
• Radiative Corrections from Heavy Fast-Roll Fields during Inflation
• Power spectrum nulls due to non-standard inflationary evolution
• General Covariance Constraints on Cosmological Correlators
• Non-Gaussianity in rapid-turn multi-field inflation
• Closed time path approach to the Casimir energy in real media
• Correlation Functions of Massless Interacting Scalar Fields in de Sitter Space
• The Scalar Field Kernel in Cosmological Spaces
• A falsely fat curvaton with an observable running of the spectral tilt
• Stationary Phase Approximation and Instanton-like States for Cosmological In-In Path Integrals
• Non-Gaussianity from Entanglement During Inflation
• Non-commutative Geometry from Perturbative Quantum Gravity in de Sitter spacetime
• De Sitter Quantum Loops as the origin of Primordial Non-Gaussianities
• Renormalizing an initial state
• Gravity and non-gravity mediated couplings in multiple-field inflation
• de Sitter duality and logarithmic decay of dark energy
• Trans-Planckian signals from the breaking of local Lorentz invariance
• Perturbation Spectra and Renormalization-Group Techniques in Double-Field Inflation and Quantum Gravity Cosmology
• The cosmological collider in $R^2$ inflation
• Charged Loops at the Cosmological Collider with Chemical Potential
• More on loops in reheating: Non-gaussianities and tensor power spectrum
• Renormalization in Open Quantum Field theory I: Scalar field theory
• Lorentz breaking Effective Field Theory and observational tests
• On the Expected Production of Gravitational Waves During Preheating
• Non-Gaussianity in DHOST inflation
• On the Expected Backreaction During Preheating
• Loops in reheating and cosmological perturbations
• One loop corrected conformally coupled scalar mode equations during inflation
• Abelian Higgs model in power-law inflation: the propagators in the unitary gauge
• One-loop Graviton Corrections to Conformal Scalars on a de Sitter Background
• The anisotropy of a three- and a one-form
• Bananas are Unparticles: Differential Equations and Cosmological Bootstrap
• Loop corrections to primordial fluctuations from inflationary phase transitions
• One-loop corrections to the primordial tensor spectrum from massless isocurvature fields
• The Physical Content of Long Tensor Modes in Cosmology
• Loop-Induced Stochastic Bias at Small Wavevectors
• Numerical prescriptions of early-time divergences of the in-in formalism
• A Causal Alternative to Feynman's Propagator
• Non-Standard Primordial Clocks from Dynamical Mass in Alternative to Inflation Scenarios
• Decelerating cosmologies are de-scramblers
• Testing an Ansatz for the Leading Secular Loop Corrections from Quantum Gravity during Inflation
• Schwinger effect in compact space: a real time calculation
• Field diffeomorphisms and the algebraic structure of perturbative expansions
• Statistical anisotropy from inflationary magnetogenesis
• Quantum Larmor radiation from a moving charge in an electromagnetic plane wave background
• BRST Quantization of Cosmological Perturbations
• Cosmological Correlators, In-In Formalism and Double Copy
• Halo/Galaxy Bispectrum with Equilateral-type Primordial Trispectrum
• Late-time Structure of the Bunch-Davies FRW Wavefunction
• Quantum (in)stability of maximally symmetric space-times
• Non-Gaussianities in DBI inflation with angular motion
• Inflaton fluctuations in the presence of cosmological defects
• Quantum Cosmology in Four Dimensions
• Scale invariance of the primordial tensor power spectrum
• Non-gaussianities for primordial black hole formation
• Breaking parity: the case of the trispectrum from chiral scalar-tensor theories of gravity
• When Does the Inflaton Decay?
• On the consistency of (partially-)massless matter couplings in de Sitter space
• Statistically-Anisotropic Tensor Bispectrum from Inflation
• Non-Gaussian statistics of de Sitter spectators: A perturbative derivation of stochastic dynamics
• Soft Limits of Gluon and Graviton Correlators in Anti-de Sitter Space
• B-modes and the sound speed of primordial fluctuations
• Perelman's Ricci Flow in Topological Quantum Gravity
• Superhorizon Electromagnetic Field Background from Higgs Loops in Inflation
• The Functional Measure for the In-In Path Integral
• Late-time correlation functions in dS${}_3$/CFT${}_2$ correspondence
• Entropy Generation at the Horizon Diffuses Cosmological Constant in 2D de Sitter Space
• Towards a Field-Theory based Relativistic Quantum Information
• Observable Quantum Loop Effects in the Sky
• On the breakdown of the curvature perturbation ζ during reheating
• Constraint on ghost-free bigravity from gravitational Cherenkov radiation
• Quantitative classicality in cosmological interactions during inflation
• Loop corrections to primordial non-Gaussianity
• Inflationary non-Gaussianities in alpha vacua and consistency with conformal symmetries
• Initial states and infrared physics in locally de Sitter spacetime
• Particle propagation in cosmological backgrounds
• Impact of transforming to Conformal Fermi Coordinates on Quasi-Single Field Non-Gaussianity
• Does Planck Actually "See" the Bunch-Davies State?
• Quasiparticle excitations in relativistic quantum field theory
• Vector field instability and the primordial tensor spectrum
• Is cosmological constant screened in Liouville gravity with matter?
• Quantum Stress Tensor Fluctuations and Primordial Gravity Waves
• Connections between Minkowski and Cosmological Correlation Functions
• Gravitational-wave implications for structure formation: A second-order approach
• Non-gaussianity and Statistical Anisotropy in Cosmological Inflationary Models
• Optimal bispectrum constraints on single-field models of inflation
• Bubble nucleation and inflationary perturbations
• Big Steve and the State of the Universe
• Imprints of Schwinger Effect on Primordial Spectra
• Broken scale invariance, $\alpha$-attractors and vector impurity
• Loop effects and infrared divergences in slow-roll inflation
• Primordial non-Gaussianities produced by features in the potential of single slow-roll inflationary models
• Notes on weight-shifting operators and unifying relations for cosmological correlators
• In-in correlators and scattering amplitudes on a causal set
• Initial value formulation of a quantum damped harmonic oscillator
• Perturbative quantum damping of cosmological expansion
• On the prospects of thermalization of axion-SU(2) inflation
• Entanglement Entropy with a Time-dependent Hamiltonian
• Issues about Cosmological Ward Identities
• Higher order spectra from an initially anisotropic universe
• Non-Gaussianity of Inflationary Gravitational Waves from the Field Equation
• Cosmological Non-Gaussianity from Neutrino Seesaw Mechanism
• Cosmological Signatures of Neutrino Seesaw Mechanism
• Entropy mode loops and cosmological correlations during perturbative reheating
• QFT approach to dressed particle processes in preheating and non-perturbative mechanism in kinematically-forbidden regime
• Comment on "Fermion production in a magnetic field in a de Sitter universe"
• Tensor bispectrum mediated by an excited scalar field during inflation
• Localization of particles in quantum field theory
• Derivative Interactions during Inflation: A Systematic Approach
• Probing Inflation with Precision Bispectra
• In-in formalism, pseudo-instantons and rethinking quantum cosmology
• Loops in inflation with strongly non-geodesic motion
• Inflation driven by scalar field and solid matter
• Effective Field Theory for Inflation
• Operator Method and Recursion Relations for Inflationary Correlator
• Imprints of Anisotropy on the Power Spectrum in Matter Dominated Bouncing Universe as Background
• Observable predictions of generalised inflationary scenarios
• Adiabatic Duality: Duality of cosmological models with varying slow-roll parameter and sound speed
• Inflationary tensor fossils deformed by solid matter -- scalar field interaction
• On counterterms in cosmological perturbation theory
• A Match Made in Heaven: Linking Observables in Inflationary Cosmology
• A field theory characterization of interacting adiabatic particles in cosmology
• Stochastic Inflation with Interacting Noises
• Adiabatic regularization of functional determinants in cosmology and radiative corrections during inflation
• Quantum Brownian representation for the quantum field modes
• Correlation of isocurvature perturbation and non-Gaussianity
• Cosmological correlation functions in scalar and vector inflationary models
• Generating Entangled Inflationary Quantum States
• Probability Density Functionals in Perturbation Theory within the QFT in-in Formalism
• Bunch-Davies initial conditions and non-perturbative inflationary dynamics in Numerical Relativity
• Quantum Stress Tensor Fluctuation Effects in Inflationary Cosmology
• RG flows in de Sitter: c-functions and sum rules
• Inflationary cross-correlations of a non-minimal spectator and their soft limits
• Noncommutative spacetime geometry and one-loop effects in primordial cosmology
• Non-linear effects in early Universe cosmology
• Back-reaction in massless de Sitter QFTs: holography, gravitational DBI action and f(R) gravity
• Dilaton, Screening of the Cosmological Constant and IR-Driven Inflation
• Fluctuations in the stress energy tensor of spinor fields evolving in general FRW spacetimes
• Infrared Logarithms in Minisuperspace Inflation
• In-in formalism on tunneling background: multi-dimensional quantum mechanics
• Amplifying the Cosmological Collider with Ghost Spectators
• On the four-dimensional effective theories in brane-worlds
• A (semi)-exact Hamiltonian for the curvature perturbation $\zeta$
• Effective dynamics of quantum fluctuations in field theory: with applications to cosmology
• Schrödinger field theory in curved spacetime: In-In formalism and three-point function for inflationary background
• The four-point correlation function of graviton during inflation
• Primordial gravitational waves from excited states
• Chern-Simons gravitational term coupled to a spectator field
• Non-relativistic Cosmological Collider Signals
• Loop contribution to inflationary magnetic field
• Sub-Leading Logarithms for Scalar Potential Models on de Sitter
• Separate universe in multifield inflation: a phase-space approach
• The expectation value of the field operator
• Semiclassical Length Measure from a Quantum-Gravity Wave Function
• Isocurvature Constraints and Gravitational Ward Identity
• Manifestly Unitary Cosmological Perturbation Theory
• Vacuum zero point energy of self-interacting quantum fields in dS background
• Primordial density fluctuations generated by wormholes
• Non-Gaussianity in D3-brane inflation
• Wormhole Solutions and Pre-inflationary Epoch in $F(R,T)$ Gravity with Axion Fields
• Massive holographic QFTs in de Sitter
• On the importance of heavy fields in pseudo-scalar inflation
• New leading contributions to non-gaussianity in single field inflation
• Heavy Fermion Production and Primordial N-Spectra
• The Black Hole Window on Cosmic Inflation
• Non-Gaussianity in Cosmology: from Inflation to the CMB
• Cosmological signatures of brane inflation
• Scale-dependence in DHOST inflation
• Transition Amplitudes in de Sitter Space