Regular Article - Theoretical Physics
On quantum corrections to geodesics in de-Sitter spacetime
Institute for Theoretical Physics, Karlsruhe Institute of Technology, 76131, Karlsruhe, Germany
Accepted: 14 February 2021
Published online: 25 February 2021
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 , but, if otherwise, the wave packet behaves highly non-classically.
© The Author(s) 2021
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