Classical Scale of Quantum Gravity

Details Classical Scale of Quantum Gravity Classical Scale of Quantum Gravity

2003-05-20

arxiv.org/abs/hep-th/0305166v1

Int.J.Mod.Phys. D12 (2003) 1715-1720

Physics

High Energy Physics

High Energy Physics - Theory

This essay received an "honorable mention" in the 2003 Essay Competition of the Gravity Research Foundation

Scientific paper

10.1142/S0218271803004110

Characteristic length scale of the post-Newtonian corrections to the gravitational field of a body is given by its gravitational radius r_g. The role of this scale in quantum domain is discussed in the context of the low-energy effective theory. The question of whether quantum gravity effects appear already at r_g leads to the question of correspondence between classical and quantum theories, which in turn can be unambiguously resolved considering the issue of general covariance. The O(\hbar^0) loop contributions turn out to violate the principle of general covariance, thus revealing their essentially quantum nature. The violation is O(1/N), where N is the number of particles in the body. This leads naturally to a macroscopic formulation of the correspondence principle.

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