Problem of Unitarity and Quantum Corrections in Semiclassical Quantum Gravity

Details Problem of Unitarity and Quantum Corrections in Semiclassical Quantum Gravity Problem of Unitarity and Quantum Corrections in Semiclassical Quantum Gravity

1996-11-14

arxiv.org/abs/gr-qc/9611040v4

Phys.Rev. D55 (1997) 7511-7517

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Replaced with the version published in PRD

Scientific paper

10.1103/PhysRevD.55.7511

Using both the Born-Oppenheimer idea and the de Broglie-Bohm interpretation of wavefunction we represent in a different way the semiclassical quantum gravity from the Wheeler-DeWitt equation in an oscillating regime which can preserve completely the unitary quantum evolution of a matter field at the expense of a nonlinear gravitational field equation, but has the same asymptotic limit as the others. We apply the de Broglie-Bohm interpretation to the nonlinear gravitational field equation to develop a perturbation method to find the quantum corrections of a matter field to the gravity. The semiclassical Einstein equation with the quantum corrections is found for a minimal quantum FRW cosmological model.

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