On the Decoherence of Primordial Gravitons

Abstract

It is well-known that the primordial scalar curvature and tensor perturbations, $\zeta$ and ${\gamma }_{ij}$, are conserved on super-horizon scales in minimal inflation models. However, their wave functional has a rapidly oscillating phase which is slow-roll unsuppressed, as can be seen either from boundary (total-derivative) terms of cosmological perturbations, or the WKB approximation of the Wheeler-DeWitt equation. Such an oscillatory phase involves gravitational non-linearity between scalar and tensor perturbations. By tracing out unobserved modes, the oscillatory phase causes faster decoherence of primordial gravitons compared to those by bulk interactions. Our results put a stronger lower bound of decoherence effect to the recent proposals probing squeezed primordial gravitons.

arXiv comment42 pages, 3 figures, 1 table, references added, typos corrected

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Cited by in corpus (11)

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• No time to derive: unraveling total time derivatives in in-in perturbation theory
• Cosmic Purity Lost: Perturbative and Resummed Late-Time Inflationary Decoherence
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• The effect of quantum decoherence on inflationary gravitational waves