Problem of Unitarity and Quantum Corrections in Semiclassical Quantum Gravity

Abstract

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.

Replaced with the version published in PRD

References in corpus (3)

• The Born-Oppenheimer Approach to the Matter-Gravity System and Unitarity
• The Problem of Time and Quantum Black Holes
• Classical Spacetime from Quantum Gravity

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