English

Noncommutative effective LQC: A (pre-)inflationary dynamics investigation

General Relativity and Quantum Cosmology 2023-08-04 v1 High Energy Physics - Theory

Abstract

We conduct a (pre-)inflationary dynamics study within the framework of a simple noncommutative extension of effective loop quantum cosmology -- put forward recently by the authors -- which preserves its key features (in particular, the quantum bounce is maintained). A thorough investigation shows that the (pre-)inflationary scenario associated to the chaotic quadratic potential is in the overall the same as the one featured in standard loop quantum cosmology (which reinforces the conclusion reached by the authors in a preliminary analysis). Hence, this (pre-)inflationary scenario does not easily distinguish between standard loop quantum cosmology and the aforementioned noncommutative scheme. It is argued that a particular tuning of the noncommutativity parameter could accommodate for subtle effects at the level of primordial perturbations (the hybrid quantization framework being a tentative route of analysis).

Keywords

Cite

@article{arxiv.2308.01363,
  title  = {Noncommutative effective LQC: A (pre-)inflationary dynamics investigation},
  author = {Luis Rey Díaz-Barrón and Abraham Espinoza-García and S. Pérez-Payán and J. Socorro},
  journal= {arXiv preprint arXiv:2308.01363},
  year   = {2023}
}

Comments

22 pages, 18 figures, 1 table