Hints of (trans-Planckian) asymptotic freedom in semiclassical cosmology

Details Hints of (trans-Planckian) asymptotic freedom in semiclassical cosmology Hints of (trans-Planckian) asymptotic freedom in semiclassical cosmology

2007-11-13

arxiv.org/abs/0711.2019v3

JCAP0806:014,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, 2 figures; replaced to match content of published version

Scientific paper

10.1088/1475-7516/2008/06/014

We employ the semiclassical approximation to the Wheeler-DeWitt equation in the spatially flat de Sitter Universe to investigate the dynamics of a minimally coupled scalar field near the Planck scale. We find that, contrary to naive intuition, the effects of quantum gravitational fluctuations become negligible and the scalar field states asymptotically approach plane-waves at very early times. These states can then be used as initial conditions for the quantum states of matter to show that each mode essentially originated in the minimum energy vacuum. Although the full quantum dynamics cannot be solved exactly for the case at hand, our results can be considered as supporting the general idea of asymptotic safety in quantum gravity.

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