论文标题
替代哈密顿量的循环量子宇宙学。 ii。包括洛伦兹术语
Loop quantum cosmology from an alternative Hamiltonian. II. Including the Lorentzian term
论文作者
论文摘要
使用Chern-Simons行动正规化重力哈密顿限制的计划扩展到将洛伦兹术语纳入$ k = 0 $宇宙学模型中。因此，欧几里得术语和洛伦兹术语分别正规化，以模仿全循环量子重力的处理。研究了带有无质量标量场的空间平面弗里德曼 - 罗伯逊步行者模型的新量子动力学。通过半经典分析，获得了有效的哈密顿约束，这表明新的量子动力学具有正确的经典限制。经典的大爆炸奇异性再次被量子反弹所取代。类似于仅量化欧几里得术语的情况，由新有效的哈密顿量确定的宇宙学模型的向后演变将被弹跳到渐近的de de de de sitter宇宙与无质量标量场耦合，而在前一种情况下，物质的负能量密度的问题是解决的。
The scheme of using the Chern-Simons action to regularize the gravitational Hamiltonian constraint is extended to including the Lorentzian term in the $k=0$ cosmological model. The Euclidean term and the Lorenzian term are thus regularized separately mimicking the treatment of full loop quantum gravity. The new quantum dynamics for the spatially flat Friedmann-Robertson-Walker model with a massless scalar field as an emergent time is studied. By semiclassical analysis, the effective Hamiltonian constraint is obtained, which indicates that the new quantum dynamics has the correct classical limit. The classical big-bang singularity is again replaced by a quantum bounce. Similar to the case of quantizing only the Euclidean term, the backward evolution of the cosmological model determined by the new effective Hamiltonian will be bounced to an asymptotic de Sitter universe coupled to a massless scalar field, while the problem of negative energy density of matter in the former case is resolved.
