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Modified dispersion relations, inflation and scale-invariance

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Bianco,  Stefano
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Friedhoff,  Nicolai
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Wilson-Ewing,  Edward
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1609.06891.pdf
(Preprint), 174KB

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Citation

Bianco, S., Friedhoff, N., & Wilson-Ewing, E. (in preparation). Modified dispersion relations, inflation and scale-invariance.


Cite as: https://hdl.handle.net/11858/00-001M-0000-002B-838D-3
Abstract
For a certain type of modified dispersion relations, the vacuum quantum state for very short wavelength cosmological perturbations is scale-invariant and it has been suggested that this may be the source of the scale-invariance observed in the temperature anisotropies in the cosmic microwave background. We point out that for this scenario to be possible, it is necessary to red-shift these short wavelength modes to cosmological scales in such a way that the scale-invariance is not lost. This can be done by inflation with a sufficiently large Hubble rate, without any requirement for slow roll. We also show that in the case of slow-roll inflation, modes that start in their vacuum quantum state will become nearly scale-invariant when they exit the Hubble radius for any power law modified dispersion relation.