2006/06/28 by Miguel Campiglia, Cayetano Di Bartolo, Rodolfo Gambini +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #astro-ph #gr-qc #hep-th #quant-ph
paper · pdf · doi:10.1088/1742-6596/67/1/012020
published as J.Phys.Conf.Ser.67:012020,2007 · 4 pages, Revtex
arxiv created 2006/06/28 · openalex publication_date 2007/05/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29
We present a new method for the quantization of totally constrained systems including general relativity. The method consists in constructing discretized theories that have a well defined and controlled continuum limit. The discrete theories are constraint-free and can be readily quantized. This provides a framework where one can introduce a relational notion of time and that nevertheless approximates in a well defined fashion the theory of interest. The method is equivalent to the group averaging procedure for many systems where the latter makes sense and provides a generalization otherwise. In the continuum limit it can be shown to contain, under certain assumptions, the "master constraint" of the "Phoenix project". It also provides a correspondence principle with the classical theory that does not require to consider the semiclassical limit. © 2007 IOP Publishing Ltd.