TY - JOUR
T1 - Noncommutativity in Effective Loop Quantum Cosmology
AU - Espinoza-García, Abraham
AU - Torres-Lomas, Efraín
AU - Pérez-Payán, Sinuhé
AU - DÍaz-Barrón, Luis Rey
N1 - Publisher Copyright:
© 2019 Abraham Espinoza-García et al.
PY - 2019
Y1 - 2019
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85062330431&partnerID=8YFLogxK
U2 - 10.1155/2019/9080218
DO - 10.1155/2019/9080218
M3 - Artículo
AN - SCOPUS:85062330431
SN - 1687-7357
VL - 2019
JO - Advances in High Energy Physics
JF - Advances in High Energy Physics
M1 - 9080218
ER -