Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2006-06-28
J.Phys.Conf.Ser.67:012020,2007
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
4 pages, Revtex
Scientific paper
10.1088/1742-6596/67/1/012020
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.
Bartolo Cayetano Di
Campiglia Miguel
Gambini Rodolfo
Pullin Jorge
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