On the correspondence between the classical and quantum gravity

Details On the correspondence between the classical and quantum gravity On the correspondence between the classical and quantum gravity

2000-09-11

arxiv.org/abs/hep-th/0009073v1

Class.Quant.Grav. 18 (2001) 1039-1054

Physics

High Energy Physics

High Energy Physics - Theory

Latex 2.09, 3 ps. figures, 17 pages

Scientific paper

10.1088/0264-9381/18/6/306

The relationship between the classical and quantum theories of gravity is reexamined. The value of the gravitational potential defined with the help of the two-particle scattering amplitudes is shown to be in disagreement with the classical result of General Relativity given by the Schwarzschild solution. It is shown also that the potential so defined fails to describe whatever non-Newtonian interactions of macroscopic bodies. An alternative interpretation of the $\hbar^0$-order part of the loop corrections is given directly in terms of the effective action. Gauge independence of that part of the one-loop radiative corrections to the gravitational form factors of the scalar particle is proved, justifying the interpretation proposed.

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