Average Effective Potential for the Conformal Factor

Abstract

In a four dimensional theory of gravity with lagrangian quadratic in curvature and torsion, we compute the effective action for metrics of the form $g_{\mu \nu }={\rho }^2{\delta }_{\mu \nu }$, with $\rho$ constant. Using standard field-theoretic methods we find that one loop quantum effects produce a nontrivial effective potential for $\rho$. We explain this unexpected result by showing how our regularization procedure differs from the one that is usually adopted in Quantum Gravity. Using the method of the average effective potential, we compute the scale dependence of the v.e.v. of the conformal factor.

8 pages, plain TEX, SISSA 71/93-EP

References in corpus (5)

• Cosmology and the Fate of Dilatation Symmetry
• The Higgs Phenomenon in Quantum Gravity
• Conformal Symmetry and Central Charges in 4 Dimensions
• Effective Potential for the Conformal Sector of Quantum Gravity with Torsion
• Gravitational Phase Transitions in Infrared Quantum Gravity

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