Adiabatic and entropy perturbations from inflation
arXiv:astro-ph/0009131 · doi:10.1103/PhysRevD.63.023506
Abstract
We study adiabatic (curvature) and entropy (isocurvature) perturbations produced during a period of cosmological inflation that is driven by multiple scalar fields with an arbitrary interaction potential. A local rotation in field space is performed to separate out the adiabatic and entropy modes. The resulting field equations show explicitly how on large scales entropy perturbations can source adiabatic perturbations if the background solution follows a curved trajectory in field space, and how adiabatic perturbations cannot source entropy perturbations in the long-wavelength limit. It is the effective mass of the entropy field that determines the amplitude of entropy perturbations during inflation. We present two applications of the equations. First, we show why one in general expects the adiabatic and entropy perturbations to be correlated at the end of inflation, and calculate the cross-correlation in the context of a double inflation model with two non-interacting fields. Second, we consider two-field preheating after inflation, examining conditions under which entropy perturbations can alter the large-scale curvature perturbation and showing how our new formalism has advantages in numerical stability when the background solution follows a non-trivial trajectory in field space.
12 pages, 2 figures. Minor changes to text. Matches version to appear in Phys. Rev. D
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- Natural Inflation with Exponentially Small Tensor-To-Scalar Ratio
- Testing theories of Gravity and Supergravity with inflation and observations of the cosmic microwave background
- A Universal Bound on Excitations of Heavy Fields during Inflation
- Adiabatic and isocurvature perturbations in extended theories with kinetic couplings
- Stability of braneworlds with non-minimally coupled multi-scalar fields
- Dynamics of Cosmological Perturbations in Multi-Speed Inflation
- Multiple Field Inflation and Signatures of Heavy Physics in the CMB
- Non-adiabatic perturbations in multi-component perfect fluids
- Non-Gaussianity in two-field inflation beyond the slow-roll approximation
- Improving Constraints on Inflation with CMB Delensing
- Multi-field Cuscuton Cosmology
- Exploring primordial black holes and gravitational waves with R-symmetric GUT Higgs inflation
- Multi-field Mimetic Gravity
- Asymmetric reheating from a symmetric inflationary potential
- Perturbation Spectra and Renormalization-Group Techniques in Double-Field Inflation and Quantum Gravity Cosmology
- Scale-Dependent Gravitational Couplings in Parameterised Post-Newtonian Cosmology
- Island Cosmology in the Landscape
- Inflationary parameters and primordial perturbation spectra
- Inflation and Scale-invariant -Gravity
- Non-Gaussianity in Island Cosmology
- Spectrum of Curvature Perturbation of Multi-field Inflation with Small-Field Potential
- The Origin of the Large-Scale Structure in the Universe: Theoretical and Statistical Aspects
- Planck constraints on neutrino isocurvature density perturbations
- Preheating in an Asymptotically Safe Quantum Field Theory
- Baryogenesis in -Higgs Inflation: the Gravitational Connection
- Curvatons and inhomogeneous scenarios with deviation from slow-roll
- Towards an Observational Appraisal of String Cosmology
- The two-field regime of natural inflation
- Generalized disformal invariance of cosmological perturbations with second-order field derivatives
- (Multi-field) Natural Inflation and Gravitational Waves
- Covariant second-order perturbations in generalized two-field inflation
- Two-field Warm Inflation and Its Scalar Perturbations on Large Scales
- Constraints on variations in inflaton decay rate from modulated preheating
- Loops in reheating and cosmological perturbations
- Conformal inflation with chameleon coupling
- Generically large nongaussianity in small multifield inflation
- Correlated Mixture Between Adiabatic and Isocurvature Fluctuations and Recent CMB Observations
- More on loops in reheating: Non-gaussianities and tensor power spectrum
- Covariant evolution of perturbations during reheating in two-field inflation
- Model-independent approach to effective sound speed in multi-field inflation
- Exposition to Staggered Multi-Field Inflation
- The Physical Content of Long Tensor Modes in Cosmology
- Moving Five-Branes and Membrane Instantons in Low Energy Heterotic M-Theory
- Moduli and Graviton Production during Moduli Stabilization
- Mimetic Curvaton
- Radiative corrections to scalar masses in de Sitter space
- Stochastic inflation and non-perturbative power spectrum beyond slow roll
- Isocurvature modes: joint analysis of the CMB power spectrum and bispectrum
- Dynamics of entropy perturbations in assisted dark energy with mixed kinetic terms
- Cosmological Perturbations: Vorticity, Isocurvature and Magnetic Fields
- Non-Gaussianities in DBI inflation with angular motion
- Flattened Axion Monodromy Beyond Two Derivatives
- Cosmology of fermionic dark energy coupled to curvature
- Entropic mechanisms with generalized scalar fields in the Ekpyrotic universe
- N-flation in Supergravity
- Reheating and Entropy Perturbations in Fibre Inflation
- Non-Minimal M-flation
- Particle physics model of curvaton inflation in a stable universe
- Tilted Ekpyrosis
- Conditions for the Absence of Infrared Sensitivity in Cosmological Probes in Any Gravity Theories
- Second-order cosmological perturbations produced by scalar-scalar coupling during inflation stage
- Entropy Perturbations in N-flation
- Aspects of warm-flat directions
- Testing Two-Field Inflation
- Inflationary Dynamics with Runaway Potentials
- Non-local Matching Condition and Scale-invariant Spectrum in Bouncing Cosmology
- Signature of short distance physics on inflation power spectrum and CMB anisotropy
- A model of cosmology and particle physics at an intermediate scale
- Non-gaussianity and Statistical Anisotropy in Cosmological Inflationary Models
- On the Consistency of Rapid-Turn Inflation
- The effects of anisotropy and non-adiabaticity on the evolution of comoving curvature perturbation
- Supersymmetric Dirac-Born-Infeld Axionic Inflation and Non-Gaussianity
- Study of the Growth of Entropy Modes in MSSM Flat Directions Decay: Constraints on the Parameter Space
- Origin of ultra-light fields during inflation and their suppressed non-Gaussianity
- Primordial black holes from the ultraslow-roll phase in the inflaton--curvaton mixed field inflation
- CMB and Cosmological Parameters: Current Status and Prospects
- Adiabatic and Isocurvature Perturbation Projections in Multi-Field Inflation
- Two-point correlators revisited: Fast and slow scales in multifield models of inflation
- Manifestly gauge invariant theory of the nonlinear cosmological perturbations in the leading order of the gradient expansion
- On the Hamilton-Jacobi approach to inflation beyond slow roll
- Inflationary perturbations with multiple scalar fields
- CMB lensing forecasts for constraining the primordial perturbations: adding to the CMB temperature and polarization information
- Loops in inflation with strongly non-geodesic motion
- Radiation-dominated bouncing model with slow contraction and inflation
- Inflation from a chaotic potential with a step
- Anatomy of geometrical destabilization of inflation
- de Sitter spacetime with a Becchi-Rouet-Stora quartet
- Cosmology Rounding the Cape
- Multi-field inflation and the field-space metric
- Nonminimal Couplings in the Early Universe: Multifield Models of Inflation and the Latest Observations
- Evolution of the spectral index after inflation
- Inflation: Where Do We Stand?
- Entropy mode loops and cosmological correlations during perturbative reheating
- Correlation of isocurvature perturbation and non-Gaussianity
- Cosmological constraints from Microwave Background Anisotropy and Polarization
- Numerical evaluation of the tensor bispectrum in two field inflation
- A model with two periods of inflation
- The Non-Adiabatic Pressure Perturbation and Non-Canonical Kinetic Terms in Multifield Inflation
- Adiabatic Duality: Duality of cosmological models with varying slow-roll parameter and sound speed
- Scalar Perturbation in Symmetric Lee-Wick Bouncing Universe
- Constant-rate inflation: primordial black holes from conformal weight transitions
- Nonminimal Couplings and the Forgotten Field of Axion Inflation
- Inflationary perturbations with Lifshitz scaling
- M-flation and its spectators
- The adiabatic/entropy decomposition in theories with multiple sound speeds
- How much will we learn from the CMB ?
- Forecasting isocurvature models with CMB lensing information: axion and curvaton scenarios
- The hand-made tail: Non-perturbative tails from multifield inflation
- The shape of high order correlation functions in CMB anisotropy maps
- Multiple Peaks in the CMB
- Cosmological Singularities in Brane Gravity
- On the four-dimensional effective theories in brane-worlds
- Inflation: a quantum laboratory on cosmological scales
- Infrared Sensitivity of Cosmological Probes in Horndeski Theory
- Slow-roll corrections in multi-field inflation: a separate universes approach
- Slow-roll Analysis of Double Field Axion Inflation
- Primordial black holes with anisotropic hair
- Scalar-Induced Gravitational Waves in Palatini Gravity
- Inflation in a scalar-vector gravity theory
- The -Higgs inflation with two Higgs doublets
- Non-Gaussianity from explicit -breaking interactions
- Cosmological perturbation theory with trinity of scalar fields
- Wronskian Formulation of the Spectrum of Curvature Perturbations
- Non-Gaussianity in Cosmology: from Inflation to the CMB
- Early Universe: inflation and cosmological perturbations
- Ultra slow-turn inflation
- Conformal invariant cosmological perturbations via the covariant approach: multicomponent universe
- Construction and applications of the manifestly gauge invariant expressions of the solutions of the cosmological perturbation theory