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arxiv: gr-qc/0011112 · v1 · submitted 2000-11-30 · 🌀 gr-qc

Group Averaging and Refined Algebraic Quantization: Where are we now?

Donald Marolf This is my paper
classification 🌀 gr-qc
keywords algebraicaveraginggroupquantizationrefinedalgorithmsconstrainedconstructive
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Refined Algebraic Quantization and Group Averaging are powerful methods for quantizing constrained systems. They give constructive algorithms for generating observables and the physical inner product. This work outlines the current status of these ideas with an eye toward quantum gravity. The main goal is provide a description of outstanding problems and possible research topics in the field.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Gravitational Hilbert spaces: invariant and co-invariant states, inner products, gauge-fixing, and BRST

    hep-th 2025-09 unverdicted novelty 4.0

    Reviews construction of physical inner products in canonical quantum gravity via group averaging and BRST formalism, illustrated in mini-superspace models and connected to path integrals.