Decoherence, instantons, and cosmological horizons

Details Decoherence, instantons, and cosmological horizons Decoherence, instantons, and cosmological horizons

2001-11-15

arxiv.org/abs/hep-ph/0111194v1

Nucl.Phys. B631 (2002) 307-324

Physics

High Energy Physics

High Energy Physics - Phenomenology

21 pages, latex, 3 figures

Scientific paper

10.1016/S0550-3213(02)00210-9

We consider the possibility that tunneling in a degenerate double-well potential in de Sitter spacetime leads to coherent oscillations of quantum probability to find the system in a given well. We concentrate on the case when the mass scale of the potential is much larger than the Hubble parameter and present a procedure for analytical continuation of the ``time''-dependent instantons, which allows us to study the subsequent real-time evolution. We find that the presence of the de Sitter horizon makes tunneling completely incoherent and calculate the decoherence time. We discuss the difference between this case and the case of a $\theta$-vacuum, when tunneling in de Sitter spacetime preserves quantum coherence.

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