Loop quantum cosmology from an alternative Hamiltonian
General Relativity and Quantum Cosmology
2019-09-23 v2
Abstract
In this paper, a new Hamiltonian constraint operator for loop quantum cosmology is constructed by using the Chern-Simons action. The quantum dynamics of the cosmological model with respect to a massless scalar field as an emergent time is determined by a difference equation. The semiclassical analysis shows that the new quantum dynamics has the correct classical limit, and the classical big-bang singularity is again replaced by the quantum bounce. Interestingly, the inverse time evolution of the flat Friedmann-Robertson-Walker cosmological model determined by the effective Hamiltonian will be bounced to an asymptotic de Sitter universe.
Cite
@article{arxiv.1906.03873,
title = {Loop quantum cosmology from an alternative Hamiltonian},
author = {Jinsong Yang and Cong Zhang and Yongge Ma},
journal= {arXiv preprint arXiv:1906.03873},
year = {2019}
}
Comments
8 pages, 2 figures; version published in PRD