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.

8 pages, bound strengthened, version accepted for publication

References in corpus (7)

• BICEP2 I: Detection Of B-mode Polarization at Degree Angular Scales
• Theory and Numerics of Gravitational Waves from Preheating after Inflation
• Enhanced Non-Gaussianity from Excited Initial States
• Non-Bunch-Davies Initial State Reconciles Chaotic Models with BICEP and Planck
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• The Knotted Sky I: Planck constraints on the primordial power spectrum
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• 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