Bogoliubov Excited States and the Lyth Bound

Abstract

We show that Bogoliubov excited scalar and tensor modes do not alleviate Planckian evolution during inflation if one assumes that $r$ and the Bogoliubov coefficients are approximately scale invariant. We constrain the excitation parameter for the scalar fluctuations, $\beta$, and tensor perturbations, $\tilde{\beta }$, by requiring that there be at least three decades of scale invariance in the scalar and tensor power spectrum. For the scalar fluctuations this is motivated by the observed nearly scale invariant scalar power spectrum. For the tensor fluctuations this assumption may be shown to be valid or invalid by future experiments.

arXiv comment8 pages, bound strengthened, version accepted for publication

References in corpus (23)

• Planck 2013 results. XVI. Cosmological parameters
• Non-Gaussian features of primordial fluctuations in single field inflationary models
• BICEP2 I: Detection Of B-mode Polarization at Degree Angular Scales
• What would we learn by detecting a gravitational wave signal in the cosmic microwave background anisotropy?
• Theory and Numerics of Gravitational Waves from Preheating after Inflation
• Gauge Field Production in Axion Inflation: Consequences for Monodromy, non-Gaussianity in the CMB, and Gravitational Waves at Interferometers
• Particle production during inflation and gravitational waves detectable by ground-based interferometers
• Enhanced Non-Gaussianity from Excited Initial States
• Gravity waves and non-Gaussian features from particle production in a sector gravitationally coupled to the inflaton
• Calculating the local-type fNL for slow-roll inflation with a non-vacuum initial state
• New Sources of Gravitational Waves during Inflation
• Non-Bunch-Davies Initial State Reconciles Chaotic Models with BICEP and Planck
• Enhancing Inflationary Tensor Modes through Spectator Fields
• Reconciliation of High Energy Scale Models of Inflation with Planck
• On Squeezed Limits in Single-Field Inflation - Part I
• Initial state of matter fields and trans-Planckian physics: Can CMB observations disentangle the two?
• Non-Gaussianity from Excited Initial Inflationary States
• Non-Gaussianity Consistency Relations, Initial States and Back-reaction
• The Knotted Sky II: Does BICEP2 require a nontrivial primordial power spectrum?
• The Knotted Sky I: Planck constraints on the primordial power spectrum
• Rapid field excursions and the inflationary tensor spectrum
• Tensor to scalar ratio and large scale power suppression from pre-slow roll initial conditions
• Do Mixed States save Effective Field Theory from BICEP?

Cited by in corpus (8)

• D7-Brane Moduli Space in Axion Monodromy and Fluxbrane Inflation
• Trans-Planckian censorship, inflation and excited initial states for perturbations
• Gravitational Waves and Scalar Perturbations from Spectator Fields
• BICEP2 implications for single-field slow-roll inflation revisited
• Role of trans-Planckian modes in cosmology
• On primordial equation of state transitions
• False vacuum energy dominated inflation with large $r$ and the importance of ${\kappa }_s$
• An upper bound on the reheat temperature for short duration inflation