Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1994-01-31
Phys.Rev. D50 (1994) 1001-1009
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
22 pages, Revtex, preprint GTCRG-94-01
Scientific paper
10.1103/PhysRevD.50.1001
We consider a quantum scalar field on an arbitrary gravitational background. We obtain the effective {\it in-in} equations for the gravitational fields using a covariant and non-local approximation for the effective action proposed by Vilkovisky and collaborators. {}From these equations, we compute the quantum corrections to the Newtonian potential. We find logarithmic corrections which we identify as the running of the gravitational constants. This running coincides with the renormalization group prediction only for minimal and conformal coupling.
Dalvit Diego A. R.
Mazzitelli Francisco D.
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