论文标题
循环量子宇宙学中标量调整理论的定量歧义和有效动力学
Quantisation ambiguities and the effective dynamics of scalar-tensor theories in loop quantum cosmology
论文作者
论文摘要
Jordan框架中标量调整理论的哈密顿式约束使用环路量子宇宙学中的三个定量处方进行定量，我们从中获得了三种不同的有效的哈密顿约束。从这些有效的哈密顿限制中得出的相应有效运动方程证明是截然不同的。详细讨论了每组有效运动方程的含义。作为具体的例子，在本文的后半部分，我们研究了具有非最小耦合函数的特定模型的有效动力学$ f（ϕ）= 1+ξκϕ^2 $和自我相互作用的四分之一潜力。使用数值结果，我们为不同的有效动力学找到了不同的功能。此外，还发现，空间奇异性是不存在的，并且在该模型的每个有效动力学中都存在宇宙弹跳。
The Hamiltonian constraint of scalar-tensor theories in the Jordan frame is quantised using three quantisation prescriptions in loop quantum cosmology, from which we obtain three different effective Hamiltonian constraints. The corresponding effective equations of motion derived from these effective Hamiltonian constraints turn out to be drastically different. The implications of each set of effective equations of motion are discussed in detail. In the latter half of this paper, as a concrete example, we study the effective dynamics of a specific model with the non-minimal coupling function $F(ϕ)=1+ξκϕ^2$ and self-interacting quartic potential. Using numerical results, we find different features for different effective dynamics. Moreover, it is also found that the spacetime singularity is absent and the cosmological bounce exists in each effective dynamics of this model.
