One-loop corrections to a scalar field during inflation

Abstract

The leading quantum correction to the power spectrum of a gravitationally-coupled light scalar field is calculated, assuming that it is generated during a phase of single-field, slow-roll inflation.

33 pages, uses feynmp.sty and ioplatex journal style. v2: matches version published in JCAP. v3: corrects sign error in Eq. (58). Corrects final coefficient of the logarithm in Eq. (105). Small corrections to discussion of divergences in 1-point function. Minor improvements to discussion of UV behaviour in Sec. 4.2

References in corpus (21)

• Gauge invariant MSSM inflaton
• Inflation after WMAP3: Confronting the Slow-Roll and Exact Power Spectra with CMB Data
• Primordial trispectrum from inflation
• On the one loop corrections to inflation and the CMB anisotropies
• Inflation model constraints from the Wilkinson Microwave Anisotropy Probe three-year data
• The inflationary trispectrum
• Non-Gaussianities in Multi-field Inflation
• Non-gaussianity from the second-order cosmological perturbation
• Non-Gaussianity from Preheating
• A numerical study of non-gaussianity in the curvaton scenario
• On the One Loop Corrections to Inflation II: The Consistency Relation
• Non-gaussianity from the inflationary trispectrum
• Two Loop Scalar Bilinears for Inflationary SQED
• Non-gaussianity and cosmic uncertainty in curvaton-type models
• Nflation: non-gaussianity in the horizon-crossing approximation
• One Loop Corrected Mode Functions for SQED during Inflation
• Non-Gaussianities in N-flation
• Quantum Cosmological Correlations in an Inflating Universe: Can fermion and gauge fields loops give a scale free spectrum?
• Non-gaussianity for a Two Component Hybrid Model of Inflation
• On the Tensor/Scalar Ratio in Inflation with UV Cutoff
• Higher order contributions to the primordial non-gaussianity

Cited by in corpus (111)

• Galileon inflation
• Primordial perturbations and non-Gaussianities in DBI and general multi-field inflation
• Signatures of Initial State Modifications on Bispectrum Statistics
• Super-Hubble de Sitter Fluctuations and the Dynamical RG
• Infrared effects in inflationary correlation functions
• Observable non-gaussianity from gauge field production in slow roll inflation, and a challenging connection with magnetogenesis
• Breakdown of Semiclassical Methods in de Sitter Space
• Schwinger-Keldysh Diagrammatics for Primordial Perturbations
• The "in-in" Formalism and Cosmological Perturbations
• On Resumming Inflationary Perturbations beyond One-loop
• Dominance of gauge artifact in the consistency relation for the primordial bispectrum
• On the proper treatment of massless fields in Euclidean de Sitter space
• Infrared dynamics in de Sitter space from Schwinger-Dyson equations
• Cosmology With Many Light Scalar Fields: Stochastic Inflation and Loop Corrections
• Effective potential for quantum scalar fields on a de Sitter geometry
• Questions on calculation of primordial power spectrum with large spikes: the resonance model case
• Feynman Diagrams for Stochastic Inflation and Quantum Field Theory in de Sitter Space
• Large slow-roll corrections to the bispectrum of noncanonical inflation
• Large non-Gaussianities in the Effective Field Theory Approach to Single-Field Inflation: the Bispectrum
• Quantum loop effects on the power spectrum and constraints on primordial black holes
• Nonperturbative resummation of de Sitter infrared logarithms in the large-N limit
• On the Issue of the ζSeries Convergence and Loop Corrections in the Generation of Observable Primordial Non-Gaussianity in Slow-Roll Inflation. Part I: the Bispectrum
• Large non-Gaussianities in the Effective Field Theory Approach to Single-Field Inflation: the Trispectrum
• IR divergence does not affect the gauge-invariant curvature perturbation
• Simple Bounds from the Perturbative Regime of Inflation
• On Features and Nongaussianity from Inflationary Particle Production
• Galileon inflation evades the no-go for PBH formation in the single-field framework
• One-loop Corrections to Scalar and Tensor Perturbations during Inflation in Stochastic Gravity
• No-go for the formation of heavy mass Primordial Black Holes in Single Field Inflation
• Perturbative Quantum Gravity Comes of Age
• Scalar field correlator in de Sitter space at next-to-leading order in a 1/N expansion
• Quantum scalar fields in de Sitter space from the nonperturbative renormalization group
• A parton picture of de Sitter space during slow-roll inflation
• Renormalization group flow and symmetry restoration in de Sitter space
• Squeezed bispectrum and one-loop corrections in transient constant-roll inflation
• A Completely Regular Quantum Stress Tensor with $w<-1$
• Riemann correlator in de Sitter including loop corrections from conformal fields
• The inflationary bispectrum with curved field-space
• Scalar Field Equations from Quantum Gravity during Inflation
• Stress tensor fluctuations in de Sitter spacetime
• The Graviton Propagator in de Donder Gauge on de Sitter Background
• A manifestly covariant theory of multifield stochastic inflation in phase space: solving the discretisation ambiguity in stochastic inflation
• Inflationary perturbation theory is geometrical optics in phase space
• Numerical evaluation of the bispectrum in multiple field inflation
• Primordial Trispectrum from Entropy Perturbations in Multifield DBI Model
• The IR stability of de Sitter QFT: Physical initial conditions
• One-loop graviton corrections to the curvature perturbation from inflation
• Condensates and quasiparticles in inflationary cosmology: mass generation and decay widths
• Excitation of Photons by Inflationary Gravitons
• Inflationary trispectrum from graviton exchange
• Vacuum Fluctuations of a Scalar Field during Inflation: Quantum versus Stochastic Analysis
• Cosmological UV/IR Divergences and de-Sitter Spacetime
• Issues Concerning Loop Corrections to the Primordial Power Spectra
• The Hartree approximation in curved spacetimes revisited I: the effective potential in de Sitter
• Quantum corrections to the primordial tensor spectrum: Open EFTs & Markovian decoupling of UV modes
• Ultraviolet Divergences in Cosmological Correlations
• Quantum Gravitational Effects on Massive Fermions during Inflation I
• Spontaneous symmetry breaking in inflationary cosmology: on the fate of Goldstone Bosons
• Quantum Scalar Corrections to the Gravitational Potentials on de Sitter Background
• Path Integral for Inflationary Perturbations
• Realisation of the ultra-slow roll phase in Galileon inflation and PBH overproduction
• Universal signature of quantum entanglement across cosmological distances
• Summing Inflationary Logarithms in Nonlinear Sigma Models
• Pre-slow roll initial conditions: large scale power suppression and infrared aspects during inflation
• Asymptotic Symmetries in de Sitter and Inflationary Spacetimes
• The δN formula is the dynamical renormalization group
• Non-Gaussianities of Single Field Inflation with Non-minimal Coupling
• Constructing Infrared Finite Propagators in Inflating Space-time
• Physical momentum representation of scalar field correlators in de Sitter space
• Nonperturbative infrared enhancement of nonGaussian correlators in de Sitter space
• Cosmic Purity Lost: Perturbative and Resummed Late-Time Inflationary Decoherence
• IR Divergences in Inflation and Entropy Perturbations
• Large fluctuations and Primordial Black Holes
• One-loop corrections to the power spectrum in general single-field inflation
• Large Deviations in the Early Universe
• On Holography in General Background and the Boundary Effective Action from AdS to dS
• Why Must Primordial Non-Gaussianity Be Very Small?
• de Sitter Space is Unstable in Quantum Gravity
• Quantum gravity corrections to the conformally coupled scalar self-mass-squared on de Sitter II: kinetic-conformal cross terms
• Quantum gravity corrections to the conformally coupled scalar self-mass-squared on de Sitter background
• Gravitational waves from fermion production during axion inflation
• Strong restriction on inflationary vacua from the local gauge invariance II: Infrared regularity and absence of the secular growth in Euclidean vacuum
• Loop Corrections to Cosmological Perturbations in Multi-field Inflationary Models
• Large gauge transformation, Soft theorem, and Infrared divergence in inflationary spacetime
• Tilt and Running of Cosmological Observables in Generalized Single-Field Inflation
• The Quantum Corrected Mode Function and Power Spectrum for a Scalar Field during Inflation
• Quantum Effects of Mass on Scalar Field Correlations and Fluctuations during Inflation
• Experimental targets for dark photon dark matter
• Magnetogenesis and the primordial non-gaussianity
• Regularizing infrared divergences in de Sitter spacetime: Loops, dimensional regularization, and cutoffs
• IR Divergence in Inflationary Tensor Perturbations from Fermion Loops
• On $i\epsilon$ Prescription in Cosmology
• Primordial Stochastic Gravitational Wave Background Anisotropies: in-in Formalization and Applications
• Anisotropic separate universe and Weinberg's adiabatic mode
• Backreaction of superhorizon perturbations in scalar field cosmologies
• Alternate Definitions of Loop Corrections to the Primordial Power Spectra
• Adiabatic regularization of power spectrum in nonminimally coupled general single-field inflation
• Bispectrum at 1-loop in the Effective Field Theory of Inflation
• Quantum corrections to inflaton dynamics, the semi-classical approach and the semi-classical limit
• Adiabatic regularisation of power spectra in nonminimally coupled chaotic inflation
• Radiative Corrections from Heavy Fast-Roll Fields during Inflation
• Hartree approximation in curved spacetimes revisited II: The semiclassical Einstein equations and de Sitter self-consistent solutions
• Correlation Functions of Massless Interacting Scalar Fields in de Sitter Space
• Loop corrections to primordial fluctuations from inflationary phase transitions
• BRST Quantization of Cosmological Perturbations
• Relics of spatial curvature in the primordial non-gaussianity
• Operator Method and Recursion Relations for Inflationary Correlator
• Noncommutative spacetime geometry and one-loop effects in primordial cosmology
• A Tail of Eternal Inflation
• Quantum corrections to slow-roll inflation: scalar and tensor modes
• Manifestly Unitary Cosmological Perturbation Theory