Gravitational Phase Transitions in Infrared Quantum Gravity

Abstract

The conformal anomaly induced sector of four-dimensional quantum gravity (infrared quantum gravity) ---which has been introduced by Antoniadis and Mottola--- is here studied on a curved fiducial background. The one-loop effective potential for the effective conformal factor theory is calculated with accuracy, including terms linear in the curvature. It is proven that a curvature induced phase transition can actually take place. An estimation of the critical curvature for different choices of the parameters of the theory is given.

9 pages, LaTeX file, 3 figures (not included), HUPD-92-10, UB-ECM-PF 92/29

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