Noncommutativity in Effective Loop Quantum Cosmology

Espinoza-García, Abraham  (Unidad Profesional Interdisciplinaria de Ingeniería Campus Guanajuato del Instituto Politécnico Nacional, Av. Mineral de Valenciana No. 200, Col. Fraccionamiento Industrial Puerto Interior, 36275 Silao de la Victoria, GTO, Mexico) ; Torres-Lomas, Efraín (Departamento de Física, División de Ciencias e Ingenierías, Campus León, Universidad de Guanajuato, 37150 León, Mexico) ; Pérez-Payán, Sinuhé (Unidad Profesional Interdisciplinaria de Ingeniería Campus Guanajuato del Instituto Politécnico Nacional, Av. Mineral de Valenciana No. 200, Col. Fraccionamiento Industrial Puerto Interior, 36275 Silao de la Victoria, GTO, Mexico) ; Díaz-Barrón, Luis Rey (Unidad Profesional Interdisciplinaria de Ingeniería Campus Guanajuato del Instituto Politécnico Nacional, Av. Mineral de Valenciana No. 200, Col. Fraccionamiento Industrial Puerto Interior, 36275 Silao de la Victoria, GTO, Mexico)

07 February 2019

Abstract: We construct a noncommutative extension of the Loop Quantum Cosmology effective scheme for the flat FLRW model with a free scalar field via a theta deformation. Firstly, a deformation is implemented in the configuration sector, among the holonomy variable and the matter degree of freedom. We show that this type of noncommutativity retains, to some degree, key features of the Loop Quantum Cosmology paradigm for a free field. Secondly, a deformation is implemented in the momentum sector, among the momentum associated with the holonomy variable and the momentum associated with the matter field. We show that in this latter case the scalar field energy density is the same as the one in standard Loop Quantum Cosmology.


Published in: Advances in High Energy Physics 2019 (2019) 9080218
Published by: Hindawi
DOI: 10.1155/2019/9080218
arXiv: 1709.03242v3
License: CC-BY-3.0



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