论文标题
量子重力的简单模型：一维情况
A Simple Model for Quantum Gravity: the one-dimensional case
论文作者
论文摘要
我们在数学上提出并解决了一个简单的欧几里得模型，以在一个维度上进行量子重力。在开放曲线的情况下，连续性极限是微不足道的，即宇宙的大小是无限的，独立于宇宙常数的值。然而，在封闭情况下，它并不繁琐，导致有限的尺寸宇宙，以实现正宇宙常数。标量场的存在略微改变了最后的结果，而不论质量如何。我们还讨论了我们的模型的概括，以实现更高的维度。
We propose and solve mathematically a simple euclidean model for quantum gravity in one dimension. In the case of an open curve, the continuum limit is trivial, that is, the size of the universe is infinite, independently of the value of the cosmological constant. Nevertheless, it is nontrivial in the closed case, resulting in a finite size universe for positive cosmological constant. The presence of a scalar field slightly changes this last result, regardless of the mass. We also discuss a generalization of our model for higher dimensions.
