Vacuum Fluctuations of a Scalar Field during Inflation: Quantum versus Stochastic Analysis
arXiv:1501.05852 · doi:10.1103/PhysRevD.91.103537
Abstract
We consider an infrared truncated massless minimally coupled scalar field with a quartic self-interaction in the locally de Sitter background of an inflating universe. We compute the two-point correlation function of the scalar at one and two-loop order applying quantum field theory. The tree-order correlator at a fixed comoving separation (that is at increasing physical distance) freezes in to a nonzero value. At a fixed physical distance, it grows linearly with comoving time. The one-loop correlator, which is the dominant quantum correction, implies a negative temporal growth in the correlation function, at this order, at a fixed comoving separation and at a fixed physical distance. We also obtain quantitative results for variance in space and time of one and two-loop correlators and infer that the contrast between the vacuum expectation value and the variance becomes less pronounced when the loop corrections are included. Finally, we repeat the analysis of the model applying a stochastic field theory and reach the same conclusions.
arXiv comment45 pages, references added, typos corrected
References in corpus (81)
- Quantum Contributions to Cosmological Correlations
- Equilibrium State of a Massless Self-Interacting Scalar Field in the De Sitter Background
- Quantum effects can render w<-1 on cosmological scales
- Super-Acceleration from Massless, Minimally Coupled
- Quantum Contributions to Cosmological Correlations II: Can These Corrections Become Large?
- Stochastic Quantum Gravitational Inflation
- Super-Hubble de Sitter Fluctuations and the Dynamical RG
- Stochastic Inflationary Scalar Electrodynamics
- Infrared effects in inflationary correlation functions
- On the one loop corrections to inflation and the CMB anisotropies
- Two Loop Scalar Self-Mass during Inflation
- Generation of fluctuations during inflation: comparison of stochastic and field-theoretic approaches
- Semiclassical relations and IR effects in de Sitter and slow-roll space-times
- The inflationary trispectrum
- Leading Log Solution for Inflationary Yukawa
- Large non-Gaussianity in multiple-field inflation
- Lecture notes on interacting quantum fields in de Sitter space
- Stationary Universe
- Quantum Stability of a w < - 1 Phase of Cosmic Acceleration
- Stochastic growth of quantum fluctuations during slow-roll inflation
- One-loop corrections to the curvature perturbation from inflation
- Cosmological observables, IR growth of fluctuations, and scale-dependent anisotropies
- On the divergences of inflationary superhorizon perturbations
- Quantum corrections to slow roll inflation and new scaling of superhorizon fluctuations
- One-loop corrections to a scalar field during inflation
- On the One Loop Corrections to Inflation II: The Consistency Relation
- Dominance of gauge artifact in the consistency relation for the primordial bispectrum
- On Resumming Inflationary Perturbations beyond One-loop
- Infrared Correlations in de Sitter Space: Field Theoretic vs. Stochastic Approach
- Non-linear perturbations in multiple-field inflation
- Classical approximation to quantum cosmological correlations
- Cosmology With Many Light Scalar Fields: Stochastic Inflation and Loop Corrections
- Feynman Diagrams for Stochastic Inflation and Quantum Field Theory in de Sitter Space
- The curvature perturbation in a box
- Quantum corrections to the inflaton potential and the power spectra from superhorizon modes and trace anomalies
- Nonperturbative resummation of de Sitter infrared logarithms in the large-N limit
- A Leading Logarithm Approximation for Inflationary Quantum Field Theory
- Effective noise in stochastic description of inflation
- How Far Are We from the Quantum Theory of Gravity?
- IR divergence does not affect the gauge-invariant curvature perturbation
- One-loop Corrections to Scalar and Tensor Perturbations during Inflation in Stochastic Gravity
- Influence on observation from IR divergence during inflation -- Single field inflation --
- Perturbative Quantum Gravity Comes of Age
- The Zeta-Zeta Correlator Is Time Dependent
- A parton picture of de Sitter space during slow-roll inflation
- Cosmological diagrammatic rules
- A Completely Regular Quantum Stress Tensor with
- On the Physical Significance of Infra-red Corrections to Inflationary Observables
- A Simple Operator Check of the Effective Fermion Mode Function during Inflation
- Simple route to non-Gaussianity in inflation
- Quantum Cosmological Correlations in an Inflating Universe: Can fermion and gauge fields loops give a scale free spectrum?
- Condensates and quasiparticles in inflationary cosmology: mass generation and decay widths
- Fluctuating geometries, q-observables, and infrared growth in inflationary spacetimes
- Influence on observation from IR divergence during inflation -- Multi field inflation --
- Scale Dependent Local Non-Gaussianity from Loops
- Non-linear sigma model in de Sitter space
- How unitary cosmology generalizes thermodynamics and solves the inflationary entropy problem
- Infra-red effects of Non-linear sigma model in de Sitter space
- Entropic Force Scenarios and Eternal Inflation
- Cosmology is not a Renormalization Group Flow
- Preventing eternality in phantom inflation
- Spontaneous symmetry breaking in inflationary cosmology: on the fate of Goldstone Bosons
- Natural selection of inflationary vacuum required by infra-red regularity and gauge-invariance
- Pre-slow roll initial conditions: large scale power suppression and infrared aspects during inflation
- Nonperturbative infrared enhancement of nonGaussian correlators in de Sitter space
- Quantum corrections to scalar field dynamics in a slow-roll space-time
- On the Reliability of the Langevin Pertubative Solution in Stochastic Inflation
- Influence of gauge artifact on adiabatic and entropy perturbations during inflation
- The Kramers-Moyal Equation of the Cosmological Comoving Curvature Perturbation
- Generalizing Starobinskii's Formalism to Yukawa Theory & to Scalar QED
- Large-Scale Suppression from Stochastic Inflation
- The Quantum Corrected Mode Function and Power Spectrum for a Scalar Field during Inflation
- IR Divergence in Inflationary Tensor Perturbations from Fermion Loops
- Stochastic Samples versus Vacuum Expectation Values in Cosmology
- Fluctuations of Quantum Fields in a Classical Background and Reheating
- Stochastic Inflation and Dimensional Reduction
- Loops in reheating and cosmological perturbations
- Stochastic Inflation and Replica Field Theory
- Loop effects and infrared divergences in slow-roll inflation
- Entropy mode loops and cosmological correlations during perturbative reheating
- Cosmological particle creation: Fluctuations and an ensemble picture
Cited by in corpus (42)
- Non-Gaussian tail of the curvature perturbation in stochastic ultra-slow-roll inflation: implications for primordial black hole production
- Ultra-slow-roll inflation with quantum diffusion
- An effective field theory during inflation: reduced density matrix and its quantum master equation
- Stochastic inflation beyond slow roll
- Implications of stochastic effects for primordial black hole production in ultra-slow-roll inflation
- An effective field theory during inflation II: stochastic dynamics and power spectrum suppression
- Scalar field correlator in de Sitter space at next-to-leading order in a 1/N expansion
- Multiple Fields in Stochastic Inflation
- Effective long wavelength scalar dynamics in de Sitter
- Quantum scalar fields in de Sitter space from the nonperturbative renormalization group
- Characters of different secular effects in various patches of de Sitter space
- Power spectrum in stochastic inflation
- A manifestly covariant theory of multifield stochastic inflation in phase space: solving the discretisation ambiguity in stochastic inflation
- Infrared dynamics of massive scalars from the complementary series in de Sitter space
- Scalar correlation functions in de Sitter space from the stochastic spectral expansion
- Statistical nature of infrared dynamics on de Sitter background
- Review on stochastic approach to inflation
- Imprint of entanglement entropy in the power spectrum of inflationary fluctuations
- Can all the infrared secular growth really be understood as increase of classical statistical variance?
- Massive scalar field in de Sitter spacetime: a two-loop calculation and a comparison with the stochastic approach
- Hamiltonian formalism for cosmological perturbations: the separate-universe approach
- Numerical stochastic inflation constrained by frozen noise
- Primordial cosmic fluctuations for variable gravity
- Scalar correlation functions for a double-well potential in de Sitter space
- Thermal Interpretation of Infrared Dynamics in de Sitter
- Power-counting during single-field slow-roll inflation
- Cosmic fluctuations from quantum effective action
- Fermionic influence (action) on inflationary fluctuations
- Renormalization group inspired autonomous equations for secular effects in de Sitter space
- Smooth coarse-graining and colored noise dynamics in stochastic inflation
- A quantum heating as an alternative of reheating
- Quantum Effects of Mass on Scalar Field Correlations and Fluctuations during Inflation
- Feynman Rules for Stochastic Inflationary Correlators
- Massless minimal quantum scalar field with an asymmetric self interaction in de Sitter spacetime
- Non-perturbative analysis for a massless minimal quantum scalar with in the inflationary de Sitter spacetime
- IR finite correlation functions in de Sitter space, a smooth massless limit, and an autonomous equation
- Stochastic inflation from quantum field theory and the parametric dependence of the effective noise amplitude
- Stochastic Baryogenesis
- From the Fokker-Planck equation to perturbative QFT's results in de Sitter space
- Emergent particles of de Sitter: thermal interpretation of the stochastic formalism and beyond
- Separate universe in multifield inflation: a phase-space approach
- Sub-Leading Logarithms for Scalar Potential Models on de Sitter