Semiclassical approximations for gravity and the issue of backreaction

Physics

Scientific paper

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Field Theory (Physics), Gravitation Theory, Quantum Mechanics, Space-Time Functions, Born-Oppenheimer Approximation, Degrees Of Freedom, Einstein Equations, Hamiltonian Functions, Schroedinger Equation

Scientific paper

Semisclassical approximations for studying the interaction between a quantum system and a classical system are examined, using a toy quantum mechanical model with two degrees of freedom. The Born-Oppenheimer Approximation (BOA) and the effective action approach are studied. It is shown that there is no backreaction on gravity in the strict BOA limit. In the effective action approach, a semiclassical description for gravity may be obtained if certain stringent requirements are satisfied.

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