# On quantum corrections to geodesics in de-Sitter spacetime

Emelyanov, Viacheslav A.

##### 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 $\mathbb{M}$ ⋙$\mathbb{H}$ , but, if otherwise, the wave packet behaves highly non-classically.

 Zugehörige Institution(en) am KIT Institut für Theoretische Physik (ITP) Publikationstyp Zeitschriftenaufsatz Publikationsjahr 2021 Sprache Englisch Identifikator ISSN: 1434-6044, 1434-6052 KITopen-ID: 1000130515 Erschienen in European Physical Journal C Verlag Springer Verlag Band 81 Heft 2 Seiten Art.-Nr.: 189 Nachgewiesen in Scopus
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