On a Continuum Limit for Loop Quantum Cosmology
- Instituto de Matematicas, Universidad Nacional Autonoma de Mexico, A. Postal 61-3, Morelia, Michoacan 58090 (Mexico)
- Facultad de Ingenieria Civil, Universidad Michoacana de San Nicolas de Hidalgo Morelia, Michoacan 58000 (Mexico)
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), 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' that dictates the LQC dynamics at each 'scale'. 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.
- OSTI ID:
- 21210252
- Journal Information:
- AIP Conference Proceedings, Vol. 977, Issue 1; Conference: 3. Mexican meeting on mathematical and experimental physics, Mexico City (Mexico), 10-14 Sep 2007; Other Information: DOI: 10.1063/1.2902799; (c) 2008 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
Similar Records
Cosmological perturbations in teleparallel Loop Quantum Cosmology
Effective action for noncommutative Bianchi I model