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

2000/11/30 by Donald Marolf, Marolf, Donald · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Applications #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/0011112

10 pages, for the proceedings of the 9th Marcel Grossmann Conference, Rome 2000

arxiv created 2000/11/30 · openalex publication_date 2000/11/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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