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

Abstract

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.

10 pages, LaTeX file, June 1-1994

References in corpus (6)

• Geometric Classification of Conformal Anomalies in Arbitrary Dimensions
• The effective potential and the renormalisation group
• Conformal Symmetry and Central Charges in 4 Dimensions
• Effective Potential for the Conformal Sector of Quantum Gravity with Torsion
• Conformal dynamics of quantum gravity with torsion
• Gravitational Phase Transitions in Infrared Quantum Gravity

Cited by in corpus (6)

• Quantum Gravity Slows Inflation
• A Tracker Solution for a Holographic Dark Energy Model
• On structure of effective action in four-dimensional quantum dilaton supergravity
• Nonlinear massive spin-two field generated by higher derivative gravity
• Quantum dynamics of N=1, D=4 supergravity chiral compensator
• Renormalization Group Properties of Higher-Derivative Quantum Gravity with Matter in $4-\epsilon$ Dimensions