Noncommutativity in Effective Loop Quantum Cosmology
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 th...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2019/9080218 |
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| author | Abraham Espinoza-García Efraín Torres-Lomas Sinuhé Pérez-Payán Luis Rey Díaz-Barrón |
| author_facet | Abraham Espinoza-García Efraín Torres-Lomas Sinuhé Pérez-Payán Luis Rey Díaz-Barrón |
| author_sort | Abraham Espinoza-García |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-6587ff6e991646c69cec59ed435abe0f |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-6587ff6e991646c69cec59ed435abe0f2025-02-03T01:02:49ZengWileyAdvances in High Energy Physics1687-73571687-73652019-01-01201910.1155/2019/90802189080218Noncommutativity in Effective Loop Quantum CosmologyAbraham Espinoza-García0Efraín Torres-Lomas1Sinuhé Pérez-Payán2Luis Rey Díaz-Barrón3Unidad 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, MexicoDepartamento de Física, División de Ciencias e Ingenierías, Campus León, Universidad de Guanajuato, 37150 León, MexicoUnidad 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, MexicoUnidad 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, MexicoWe 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.http://dx.doi.org/10.1155/2019/9080218 |
| spellingShingle | Abraham Espinoza-García Efraín Torres-Lomas Sinuhé Pérez-Payán Luis Rey Díaz-Barrón Noncommutativity in Effective Loop Quantum Cosmology Advances in High Energy Physics |
| title | Noncommutativity in Effective Loop Quantum Cosmology |
| title_full | Noncommutativity in Effective Loop Quantum Cosmology |
| title_fullStr | Noncommutativity in Effective Loop Quantum Cosmology |
| title_full_unstemmed | Noncommutativity in Effective Loop Quantum Cosmology |
| title_short | Noncommutativity in Effective Loop Quantum Cosmology |
| title_sort | noncommutativity in effective loop quantum cosmology |
| url | http://dx.doi.org/10.1155/2019/9080218 |
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