Short Distance Physics and the Consistency Relation for Scalar and Tensor Fluctuations in the Inflationary Universe

Abstract

Recent discussions suggest the possibility that short distance physics can significantly modify the behavior of quantum fluctuations in the inflationary universe, and alter the standard large scale structure predictions. Such modifications can be viewed as due to a different choice of the vacuum state. We show that such changes generally lead to violations of the well-known consistency relation between the scalar to tensor ratio and the tensor spectral index. Vacuum effects can introduce an observable modulation to the usual predictions for the scalar and tensor power spectra.

5 pages, matches published version

References in corpus (8)

• The Trans-Planckian Problem of Inflationary Cosmology
• The Robustness of Inflation to Changes in Super-Planck-Scale Physics
• Inflation as a Probe of Short Distance Physics
• Inflation with a Planck-scale frequency cutoff
• Perturbation spectrum in inflation with cutoff
• Mode Generating Mechanism in Inflation with Cutoff
• Trans-Planckian dispersion and scale-invariance of inflationary perturbations
• Some Aspects of Brane Inflation

Cited by in corpus (73)

• Cosmological Backgrounds of Gravitational Waves
• A note on inflation and transplanckian physics
• Signatures of Short Distance Physics in the Cosmic Microwave Background
• A generic estimate of trans-Planckian modifications to the primordial power spectrum in inflation
• On the Dependence of the Spectra of Fluctuations in Inflationary Cosmology on Trans-Planckian Physics
• Relating gravitational wave constraints from primordial nucleosynthesis, pulsar timing, laser interferometers, and the CMB: implications for the early universe
• Imprints of Short Distance Physics On Inflationary Cosmology
• Superimposed Oscillations in the WMAP Data?
• On Signatures of Short Distance Physics in the Cosmic Microwave Background
• Initial Conditions for Inflation
• A Horizon Ratio Bound for Inflationary Fluctuations
• Inflation, holography, and the choice of vacuum in de Sitter space
• Tachyon inflation: tests and comparison with single scalar field inflation
• On the consistency of de Sitter vacua
• Non-Bunch-Davies Initial State Reconciles Chaotic Models with BICEP and Planck
• Reconciliation of High Energy Scale Models of Inflation with Planck
• Exploring the Superimposed Oscillations Parameter Space
• Minimal modifications of the primordial power spectrum from an adiabatic short distance cutoff
• Initial state effects on the cosmic microwave background and trans-planckian physics
• Short distance and initial state effects in inflation: stress tensor and decoherence
• Avoiding the string swampland in single-field inflation: Excited initial states
• Decoupling in an expanding universe: boundary RG-flow affects initial conditions for inflation
• Primeval Corrections to the CMB Anisotropies
• Initial state of matter fields and trans-Planckian physics: Can CMB observations disentangle the two?
• D7-Brane Moduli Space in Axion Monodromy and Fluxbrane Inflation
• Can MAP and Planck map Planck physics?
• Running of the Spectral Index and Violation of the Consistency Relation Between Tensor and Scalar Spectra from trans-Planckian Physics
• CMB quadrupole suppression: I. Initial conditions of inflationary perturbations
• Trans-Planckian Physics and the Spectrum of Fluctuations in a Bouncing Universe
• Trans-Planckian censorship, inflation and excited initial states for perturbations
• A Covariant Information-Density Cutoff in Curved Space-Time
• CMB quadrupole suppression: II. The early fast roll stage
• Vacuum Choices and the Predictions of Inflation
• Gravitational Waves and Scalar Perturbations from Spectator Fields
• Inflation and non--Gaussianity
• Renormalization of initial conditions and the trans-Planckian problem of inflation
• Bounds on Generic High-Energy Physics Modifications to the Primordial Power Spectrum from Back-Reaction on the Metric
• Holographic Discreteness of Inflationary Perturbations
• On the Tensor/Scalar Ratio in Inflation with UV Cutoff
• Multiple-field inflation and the CMB
• Transdimensional physics and inflation
• Holographic bounds on the UV cutoff scale in inflationary cosmology
• Miracles and complementarity in de Sitter space
• The Detectability of Departures from the Inflationary Consistency Equation
• Approach to exact inflation in modified Friedmann equation
• Quantum Stress Tensor Fluctuations of a Conformal Field and Inflationary Cosmology
• Exact solution of inflationary model with minimum length
• The renormalization of the energy-momentum tensor for an effective initial state
• Optimizing future experimental probes of inflation
• Role of trans-Planckian modes in cosmology
• Fermionic alpha-vacua
• Gravitational Wave Spectrum in Inflation with Nonclassical States
• Backreaction in trans-Planckian cosmology: renormalization, trace anomaly and selfconsistent solutions
• Single-field inflation à la generalized Chaplygin gas
• Gauge-invariant perturbation theory for trans-Planckian inflation
• Trans-Planckian Censorship and $k$-inflation
• Corrections to $n_s$ and $n_t$ from high scale physics
• Renormalized Stress Tensor for trans-Planckian Cosmology
• Trans-Planckian enhancements of the primordial non-Gaussianities
• Discrete Spectrum of Inflationary Fluctuations
• Initial condition of scalar perturbation in inflation
• The Effect of $\alpha$-Vacua on the Scalar and Tensor Spectral Indices: Slow-Roll Approximation
• Perturbations in Bouncing and Cyclic Models, a General Study
• Trans-Planckian signals from the breaking of local Lorentz invariance
• Vanishing dimensions: Review
• BICEP2, non Bunch-Davies and Entanglement
• Reconstructing inflationary potential from NANOGrav 15-year Data: A robust study using Non-Bunch Davies initial condition
• Modification to the power spectrum in the brane world inflation driven by the bulk inflaton
• False vacuum energy dominated inflation with large $r$ and the importance of ${\kappa }_s$
• A Proposal for Constraining Initial Vacuum by CMB
• The Role of Torsion in Trans-Planckian Physics
• Exploring Inflationary Initial State With Large Scale Structure Observations
• Trans-Planckian quantum corrections and inflationary vacuum fluctuations of non-minimally coupled scalar fields