Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1995-05-30
Phys.Rev. D52 (1995) 969-980
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
18 pages, REVTex, two uuencoded figures. (to appear in Phys. Rev. D15, July) Transmission errors have been corrected
Scientific paper
10.1103/PhysRevD.52.969
The Kadanoff-Wilson renormalization group approach for a scalar self-interacting field theor generally coupled with gravity is presented. An average potential that monitors the fluctuations of the blocked field in different scaling regimes is constructed in a nonflat background and explicitly computed within the loop-expansion approximation for an Einstein universe. The curvature turns out to be dominant in setting the crossover scale from a double-peak and a symmetric distribution of the block variables. The evolution of all the coupling constants generated by the blocking procedure is examined: the renormalized trajectories agree with the standard perturbative results for the relevant vertices near the ultraviolet fixed point, but new effective interactions between gravity and matter are present. The flow of the conformal coupling constant is therefore analyzed in the improved scheme and the infrared fixed point is reached for arbitrary values of the renormalized parameters.
No associations
LandOfFree
Coarse-Graining and Renormalization Group in the Einstein Universe does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Coarse-Graining and Renormalization Group in the Einstein Universe, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Coarse-Graining and Renormalization Group in the Einstein Universe will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-300705