Reduction of gravity-matter and dS gravity to hypersurface

Abstract

The quantization scheme based on reduction of the physical states \cite{Park:2014tia} is extended to two gravity-matter systems and pure dS gravity. For the gravity-matter systems we focus on quantization in a flat background for simplicity, and renormalizability is established through gauge-fixing of matter degrees of freedom. Quantization of pure dS gravity has several new novel features. It is noted that the infrared divergence does not arise in the present scheme of quantization. The lapse function constraint plays a crucial role.

39 pages, 1 figure, refs and clarifications added, version to appear in IJGMMP

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• Boundary dynamics in gravitational theories
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• Foliation-based approach to quantum gravity and applications to astrophysics
• Quantum gravitational effects on boundary
• Quantization of gravity and finite temperature effects