Loss of Quantum Coherence and Positivity of Energy Density in Semiclassical Quantum Gravity

Details Loss of Quantum Coherence and Positivity of Energy Density in Semiclassical Quantum Gravity Loss of Quantum Coherence and Positivity of Energy Density in Semiclassical Quantum Gravity

1998-07-09

arxiv.org/abs/gr-qc/9807023v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

RevTex, 6 pages, no figures

Scientific paper

In the semiclassical quantum gravity derived from the Wheeler-DeWitt equation, the energy density of a matter field loses quantum coherence due to the induced gauge potential from the parametric interaction with gravity in a non-static spacetime. It is further shown that the energy density takes only positive values and makes superposition principle hold true. By studying a minimal massive scalar field in a FRW spacetime background, we illustrate the positivity of energy density and obtain the classical Hamiltonian of a complex field from the energy density in coherent states.

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