A Theory for the Conformal Factor in Quantum $R^2$ Gravity

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 pages, LaTeX file, June 1-1994

Scientific paper

10.1016/0370-2693(94)90588-6

A new theory for the conformal factor in R$^2$-gravity is developed. The infrared phase of this theory, which follows from the one-loop renormalization group equations for the whole quantum R$^2$-gravity theory is described. The one-loop effective potential for the conformal factor is found explicitly and a mechanism for inducing Einstein gravity at the minimum of the effective potential for the conformal factor is suggested. A comparison with the effective theory of the conformal factor induced by the conformal anomaly, and also aiming to describe quantum gravity at large distances, is done.

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