On the Dependence of the Spectra of Fluctuations in Inflationary Cosmology on Trans-Planckian Physics

Abstract

We calculate the power spectrum of metric fluctuations in inflationary cosmology starting with initial conditions which are imposed mode by mode when the wavelength equals some critical length ${\ell }_{{}_{\mathrm{C}}}$ corresponding to a new energy scale $M_{{}_{\mathrm{C}}}$ at which trans-Planckian physics becomes important. In this case, the power spectrum can differ from what is calculated in the usual framework (which amounts to choosing the adiabatic vacuum state). The fractional difference in the results depends on the ratio ${\sigma }_0$ between the Hubble expansion rate $H_{\inf }$ during inflation and the new energy scale $M_{{}_{\mathrm{C}}}$. We show how and why different choices of the initial vacuum state (stemming from different assumptions about trans-Planckian physics) lead to fractional differences which depend on different powers of ${\sigma }_0$. As we emphasize, the power in general also depends on whether one is calculating the power spectrum of density fluctuations or of gravitational waves.

19 pages, 6 figures. Misprints corrected and reference added

References in corpus (1)

• Cosmological Perturbations from a New-Physics Hypersurface

Cited by in corpus (165)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Planck 2018 results. X. Constraints on inflation
• Analogue Gravity
• Planck 2013 results. XXII. Constraints on inflation
• Modern tests of Lorentz invariance
• Observational Signatures and Non-Gaussianities of General Single Field Inflation
• Bouncing Cosmologies: Progress and Problems
• Lorentz violation at high energy: concepts, phenomena and astrophysical constraints
• Cosmology of the Lifshitz universe
• Inflation after WMAP3: Confronting the Slow-Roll and Exact Power Spectra with CMB Data
• Features and New Physical Scales in Primordial Observables: Theory and Observation
• On the Universality of the Hawking Effect
• Birefringent Gravitational Waves and the Consistency Check of Inflation
• Inflation and WMAP three year data: Features have a Future!
• Trans-Planckian Issues for Inflationary Cosmology
• Superimposed Oscillations in the WMAP Data?
• Transplanckian energy production and slow roll inflation
• Back-Reaction and the Trans-Planckian Problem of Inflation Revisited
• Inflationary Cosmological Perturbations of Quantum-Mechanical Origin
• Evolution of Metric Perturbations in Quintom Bounce model
• Reconstructing the primordial power spectrum - a new algorithm
• Stringy Effects During Inflation and Reheating
• Effective Field Theories and Inflation
• Exploring the Superimposed Oscillations Parameter Space
• A Model Of Inflationary Cosmology Without Singularity
• Inflation after Planck: Judgment Day
• Oscillations in the inflaton potential?
• Short distance and initial state effects in inflation: stress tensor and decoherence
• A Note on Calm Excited States of Inflation
• Effects of parity violation on non-gaussianity of primordial gravitational waves in Hořava-Lifshitz gravity
• Warped Reheating in Multi-Throat Brane Inflation
• Long-wavelength metric backreactions in slow-roll inflation
• Probing primordial features with future galaxy surveys
• Decoupling in an expanding universe: boundary RG-flow affects initial conditions for inflation
• Anomalous parity asymmetry of WMAP power spectrum data at low multpoles: is it cosmological or systematics?
• Polarizing primordial gravitational waves by parity violation
• Cosmological particle production in emergent rainbow spacetimes
• Decoupling in an expanding universe: backreaction barely constrains short distance effects in the CMB
• Addendum to "Superimposed Oscillations in the WMAP Data?"
• Initial state of matter fields and trans-Planckian physics: Can CMB observations disentangle the two?
• CMB quadrupole suppression: I. Initial conditions of inflationary perturbations
• Inflationary spectra and partially decohered distributions
• CMB quadrupole suppression: II. The early fast roll stage
• The Fate of the Alpha-Vacuum
• Canonical transformations and squeezing formalism in cosmology
• Alpha-states in de Sitter space
• Lectures on string theory and cosmology
• Model Independent Signatures of New Physics in the Inflationary Power Spectrum
• Renormalization of initial conditions and the trans-Planckian problem of inflation
• Can we predict $\Lambda$ for the Non-SUSY sector of the Landscape ?
• On infrared and ultraviolet divergences of cosmological perturbations
• Bounds on Generic High-Energy Physics Modifications to the Primordial Power Spectrum from Back-Reaction on the Metric
• Boundary Effective Field Theory and Trans-Planckian Perturbations: Astrophysical Implications
• How robust are inflation model and dark matter constraints from cosmological data?
• Moduli Stabilization in String Gas Cosmology
• Multiple-field inflation and the CMB
• Noncommutative models in patch cosmology
• Large non-Gaussian Halo Bias from Single Field Inflation
• High energy modifications of blackbody radiation and dimensional reduction
• Near Scale Invariance with Modified Dispersion Relations
• Observing Trans-Planckian Signatures in the Cosmic Microwave Background
• $\alpha$-vacuum and inflationary bispectrum
• Probing Noncommutativity with Inflationary Gravitational Waves
• Inflationary cosmology with nonlinear dispersion relations
• Taming the alpha-vacuum
• Resonant Signatures of Heavy Scalar Fields in the Cosmic Microwave Background
• Non-linear damping of superimposed primordial oscillations on the matter power spectrum in galaxy surveys
• Holographic bounds on the UV cutoff scale in inflationary cosmology
• Reconstructing the Primordial Spectrum with CMB Temperature and Polarization
• Pre-slow roll initial conditions: large scale power suppression and infrared aspects during inflation
• Quantum Gravity Phenomenology and Lorentz Violation
• Propagation in a thermal graviton background
• Challenges for String Gas Cosmology
• Gravitational quantum effects on power spectra and spectral indices with higher-order corrections
• Phenomenological implications of modified loop cosmologies: an overview
• High-order Primordial Perturbations with Quantum Gravitational Effects
• Quantum Stress Tensor Fluctuations of a Conformal Field and Inflationary Cosmology
• Features in the primordial spectrum: new constraints from WMAP7+ACT data and prospects for Planck
• Boundary Inflation and the WMAP Data
• Trans-Planckian corrections to the primordial spectrum in the infra-red and the ultra-violet
• Introduction to Quantum Fields in Curved Spacetime and the Hawking Effect
• Cyclic Inflation
• Conceptual Problems of Inflationary Cosmology and a New Approach to Cosmological Structure Formation
• Effects of space-time noncommutativity on the angular power spectrum of the CMB
• Constructing analytical solutions of linear perturbations of inflation with modified dispersion relations
• Enhanced CMBR non-Gaussianities from Lorentz violation
• Effects of Quantum Deformations on the Spectrum of Cosmological Perturbations
• New constraints on primordial features from the galaxy two-point correlation function
• Scale-dependent power spectrum from initial excited-de Sitter modes
• The renormalization of the energy-momentum tensor for an effective initial state
• Tensor to scalar ratio and large scale power suppression from pre-slow roll initial conditions
• Astrophysical Bounds on Planck Suppressed Lorentz Violation
• Observational signatures of a non-singular bouncing cosmology
• Angular Correlation Functions for Models with Logarithmic Oscillations
• The enhancement of inflaton loops in an alpha-vacuum
• Fermionic alpha-vacua
• Modified dispersion relations and the response of the rotating Unruh-DeWitt detector
• Getting Super-Excited with Modified Dispersion Relations
• Gravitational quantum effects in the light of BICEP2 results
• Featuring the primordial power spectrum: new constraints on interrupted slow-roll from CMB and LRG data
• Primordial Spikes from Wrapped Brane Inflation
• Extracting New Physics from the CMB
• Inflation as a probe of new physics
• Lorentz-violation and cosmological perturbations: a toy brane-world model
• Particle Production in an expanding universe dominated by dark energy fluid
• Symmetry and anti-symmetry of the CMB anisotropy pattern
• Non-Linear Trans-Planckian Corrections of Spectra due to the Non-trivial Initial States
• Corrections to $n_s$ and $n_t$ from high scale physics
• The Trans-Planckian Problem in the Healthy Extension of Horava-Lifshitz Gravity
• Optimal CMB estimators for bispectra from excited states
• Where does Cosmological Perturbation Theory Break Down?
• Gauge-invariant perturbation theory for trans-Planckian inflation
• Primordial feature constraints from BOSS+eBOSS
• Non-Gaussianity of a single scalar field in general covariant Hořava-Lifshitz gravity
• Non-Unitary Evolution in the General Extended EFT of Inflation & Excited Initial States
• Perturbations in a Holographic Universe and in Other Stiff Fluid Cosmologies
• Erratum: Statistical anisotropy in the inflationary universe
• A new mechanism for non-locality from string theory: UV-IR quantum entanglement and its imprints on the CMB
• Signatures of trans-Planckian dispersion in inflationary spectra
• Notes on teleportation in an expanding space
• New counterterms induced by trans-Planckian physics in semiclassical gravity
• An Asymptotic Method for Selection of Inflationary Modes
• Trans-Planckian enhancements of the primordial non-Gaussianities
• Decoupling, Trans-Planckia and Inflation
• The Trans-Planckian Problem for Inflationary Cosmology Revisited
• Trans-Planckian Physics from a Nonlinear Dispersion Relation
• Path integral duality and Planck scale corrections to the primordial spectrum in exponential inflation
• Short Distance Physics and Initial State Effects on the CMB Power Spectrum
• Damped Corrections to Inflationary Spectra from a Fluctuating Cutoff
• Sensitivity of inflationary predictions to pre-inflationary phases
• Quantum initial conditions for inflation and canonical invariance
• Emergence of Fluctuations from a Tachyonic Big Bang
• Emergent spacetimes
• Inflationary Quantum Cosmology: General Framework and Exact Bianchi I Solution
• Choice of vacuum state and the relation between inflationary and Planck scales
• Bound states of massive complex ghosts in superrenormalizable quantum gravity theories\
• Trans-Planckian signals from the breaking of local Lorentz invariance
• The primordial "f_NL" non-Gaussianity, and perturbations beyond the present horizon
• The Effect of $\alpha$-Vacua on the Scalar and Tensor Spectral Indices: Slow-Roll Approximation
• Enhanced spectrum of primordial perturbations, galaxy formation and small scale structure
• Higher Order Corrections to Asymptotic-de Sitter Inflation
• Cosmological Particle Creation in the Presence of Lorentz Violation
• Vanishing dimensions: Review
• Probing Planckian physics in de Sitter space with quantum correlations
• Inflation with a stringy minimal length, reworked
• A general condition of inflationary cosmology on trans-Planckian physics
• A mechanism of the large-scale damping in the CMB anisotropy
• Large Angular Scale CMB Anisotropy from an Excited Initial Mode
• Inflaton Decay in an Alpha Vacuum
• A large change in the predicted number of small halos due to a small amplitude oscillating inflaton potential
• A search for super-imposed oscillations to the primordial power spectrum in Planck and SPT-3G 2018 data
• Impact of trans-Planckian quantum noise on the Primordial Gravitational Wave spectrum
• BICEP2, non Bunch-Davies and Entanglement
• Particle propagation in cosmological backgrounds
• A conceptual problem for non-commutative inflation and the new approach for non-relativistic inflationary equation of state
• Bayesian inference methodology for Primordial Power Spectrum reconstructions from Large Scale Structure
• Log-periodic gravitational-wave background beyond Einstein gravity
• Transplanckian signatures in WMAP3?
• Theory of Cosmological Perturbations and Applications to Superstring Cosmology
• Signatures of Planck-scale interactions in the cosmic microwave background?
• The shape of high order correlation functions in CMB anisotropy maps
• Consistency of Planck Data With Power-Law Primordial Scalar Power Spectrum
• J-PAS: forecast on the primordial power spectrum reconstruction
• Trans-Planckian quantum corrections and inflationary vacuum fluctuations of non-minimally coupled scalar fields
• Wave function of the universe in the presence of trans-Planckian censorship