Correspondence principle in quantum gravity

Details Correspondence principle in quantum gravity Correspondence principle in quantum gravity

2001-07-10

arxiv.org/abs/hep-th/0107080v1

Nucl.Phys.Proc.Suppl. 104 (2002) 232-235

Physics

High Energy Physics

High Energy Physics - Theory

Talk presented at the international meeting "Quantum Gravity and Spectral Geometry", Naples, July 2001. 4 pages, 1 figure

Scientific paper

10.1016/S0920-5632(01)01622-X

The problem of consistent formulation of the correspondence principle in quantum gravity is considered. The usual approach based on the use 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 this approach fails to describe whatever non-Newtonian interactions of macroscopic bodies. An alternative interpretation of the correspondence principle is given directly in terms of the effective action. Gauge independence of the \hbar^0 part of the one-loop radiative corrections to the gravitational form factors of the scalar particle is proved, justifying the interpretation proposed. Application to the black holes is discussed.

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