One-loop renormalization of a gravity-scalar system

Understand

Extending the renormalizability proposal of the physical sector of 4D Einstein gravity, we have recently proposed renormalizability of the 3D physical sector of gravity-matter systems.

• The main goal of the present work is to conduct systematic one-loop renormalization of a gravity-matter system by applying our foliation-based quantization scheme.
• In this work we explicitly carry out renormalization of a gravity-scalar system with a Higgs-type potential.
• With the fluctuation part of the scalar field gauged away, the system becomes renormalizable through a metric field redefinition.