Metric Redefinition and UV Divergences in Quantum Einstein Gravity

Abstract

I formulate several statements demonstrating that the local metric redefinition can be used to reduce the UV divergences present in the quantum action for the Einstein gravity in $d=4$ dimensions. In its most general form, the proposal is that any UV divergences in the quantum action can be removed by an appropriate field re-definition and a renormalization of cosmological constant.

10 pages; v2: minor typos corrected; v3a: more remarks + discussion of S-matrix + 1 new reference added, v3b: more references added, version to appear in PLB

References in corpus (3)

• Three-Dimensional Gravity Revisited
• Metrics With Vanishing Quantum Corrections
• Newton constant, contact terms and entropy

Cited by in corpus (5)

• All higher-curvature gravities as Generalized quasi-topological gravities
• Covariant singularities in Quantum Field Theory and Quantum Gravity
• Wave Function Renormalization and Flow of Couplings in Asymptotically Safe Quantum Gravity
• Renormalization group equations and the recurrence pole relations in pure quantum gravity
• Boundary choices and one-loop complex gravitational path integral