Uniform discretizations: a quantization procedure for totally constrained systems including gravity

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dc.creatorCampiglia, Miguel
dc.creatorDi Bartolo, Cayetano
dc.creatorGambini, Rodolfo
dc.creatorPullin, Jorge
dc.date2006-06-28
dc.date.accessioned2026-07-07T10:40:56Z
dc.date.available2026-07-07T10:40:56Z
dc.descriptionWe 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.
dc.description4 pages, Revtex
dc.identifierhttps://arxiv.org/abs/gr-qc/0606121
dc.identifierhttp://arxiv.org/abs/gr-qc/0606121
dc.identifierJ.Phys.Conf.Ser.67:012020,2007
dc.identifierdoi:10.1088/1742-6596/67/1/012020
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/181479
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleUniform discretizations: a quantization procedure for totally constrained systems including gravity
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