Type: Inproceedings

On the Convergence in Effective Loop Quantum Cosmology

Alejandro Corichi; Tatjana Vukasinac; Jose Antonio Zapata;

Book Title: Gravitational Physics: Testing Gravity from Submilliter to Cosmic Scale

Abstract:

In Loop Quantum Cosmology (LQC) there is a discreteness parameter lambda, that has been heuristically associated to a fundamental granularity of quantum geometry. It is also possible to consider lambda, 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 lambda-dependence, with a special interest on the limit lambda -> 0 and the role of the evolution parameter in the convergence of such limit.