Dilaton Quantum Cosmology in Two Dimensions
高能物理 - 理论
2009-10-22 v1 广义相对论与量子宇宙学
摘要
We consider a renormalizable two-dimensional model of dilaton gravity coupled to a set of conformal fields as a toy model for quantum cosmology. We discuss the cosmological solutions of the model and study the effect of including the backreaction due to quantum corrections. As a result, when the matter density is below some threshold new singularities form in a weak coupling region, which suggests that they will not be removed in the full quantum theory. We also solve the Wheeler-DeWitt equation. Depending on the quantum state of the Universe, the singularities may appear in a quantum region where the wave function is not oscillatory, i.e., when there is not a well defined notion of classical spacetime.
引用
@article{arxiv.hep-th/9211095,
title = {Dilaton Quantum Cosmology in Two Dimensions},
author = {F. D. Mazzitelli and J. G. Russo},
journal= {arXiv preprint arXiv:hep-th/9211095},
year = {2009}
}
备注
17 pages, UTTG-28-92