Vilkovisky unique effective action in quantum gravity

Abstract

The divergent part of the one-loop Vilkovisky unique effective action for quantum Einstein gravity is evaluated in the general parametrization of the quantum field, including the separated conformal factor. The output of this calculation explicitly demonstrates the parametrization and conformal gauge independence of the unique effective action with the configuration space metric chosen following Vilkovisky's prescription.

Minor refinements in formulations. Small misprints corrected. Fits published version

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• Local momentum space: Scalar field and gravity
• Effective quantum gravity, cosmological constant and the Standard Model of particle physics