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arXiv · 2006.16747

On quantum corrections to geodesics in de-Sitter spacetime

V. A. Emelyanov
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Abstract

We find a coordinate-independent wave-packet solution of the massive Klein-Gordon equation with the conformal coupling to gravity in the de-Sitter universe. This solution can locally be represented through the superposition of positive-frequency plane waves at any space-time point, assuming that the scalar-field mass $M$ is much bigger than the de-Sitter Hubble constant $H$. The solution is also shown to be related to the two-point function in the de-Sitter quantum vacuum. Moreover, we study the wave-packet propagation over cosmological times, depending on the ratio of $M$ and $H$. In doing so, we find that this wave packet propagates like a point-like particle of the same mass if $M \ggg H$, but, if otherwise, the wave packet behaves highly non-classically.

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V. A. Emelyanov. 2021-03-04. On quantum corrections to geodesics in de-Sitter spacetime. https://doi.org/10.1140/epjc%2Fs10052-021-08979-z

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