On the Convergence in Effective Loop Quantum Cosmology

Details On the Convergence in Effective Loop Quantum Cosmology On the Convergence in Effective Loop Quantum Cosmology

Jul 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010aipc.1256..172c&link_type=abstract

GRAVITATIONAL PHYSICS: TESTING GRAVITY FROM SUBMILLIMETER TO COSMIC: Proceedings of the VIII Mexican School on Gravitation and M

Mathematics

Mathematical Physics

1

Cosmology, Lattice Theory, Differential Equations, Quantum Cosmology, Lattice Gauge Theory, Ordinary And Partial Differential Equations, Boundary Value Problems

Scientific paper

In Loop Quantum Cosmology (LQC) there is a discreteness parameter λ, that has been heuristically associated to a fundamental granularity of quantum geometry. It is also possible to consider λ as a regulator in the same spirit as that used in lattice field theory, where it specifies a regular lattice in the real line. A particular quantization of the k = 0 FLRW loop cosmological model yields a completely solvable model, known as solvable loop quantum cosmology (sLQC). In this contribution, we consider effective classical theories motivated by sLQC and study their λ-dependence, with a special interest on the limit λ-->0 and the role of the evolution parameter in the convergence of such limit.

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