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General Relativity and Quantum Cosmology

arXiv:0711.0788 (gr-qc)
[Submitted on 6 Nov 2007]

Title:On a Continuum Limit for Loop Quantum Cosmology

Authors:Alejandro Corichi, Tatjana Vukasinac, Jose A. Zapata
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Abstract: The use of non-regular representations of the Heisenberg-Weyl commutation relations has proved to be useful for studying conceptual and technical issues in quantum gravity. Of particular relevance is the study of Loop Quantum Cosmology (LQC), a symmetry reduced theory that is related to Loop Quantum Gravity, and that is based on a non-regular, polymeric representation. Recently, a soluble model was used by Ashtekar, Corichi and Singh to study the relation between Loop Quantum Cosmology and the standard Wheeler-DeWitt theory and in particular the passage to the limit in which the auxiliary parameter (interpreted as "quantum geometry discreetness") is sent to zero in hope to get rid of this `regulator ambiguity' in the LQC dynamics. In this note we outline the first steps toward reformulating this question within the program developed by the authors for studying the continuum limit of polymeric theories, which was successfully applied to simple systems such as a Simple Harmonic Oscillator and the Free Particle.
Comments: 8 pages. Contribution for the Proceedings of the Third Mexican Meeting on Mathematical and Experimental Physics
Subjects: General Relativity and Quantum Cosmology (gr-qc)
Cite as: arXiv:0711.0788 [gr-qc]
  (or arXiv:0711.0788v1 [gr-qc] for this version)
  https://doi.org/10.48550/arXiv.0711.0788
Journal reference: AIP Conf.Proc.977:64-71,2008
Related DOI: https://doi.org/10.1063/1.2902799

Submission history

From: Alejandro Corichi [view email]
[v1] Tue, 6 Nov 2007 02:25:24 UTC (12 KB)
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