论文标题
浅射线波动和简单量子重力的晶格完善
Light ray fluctuation and lattice refinement of simplicial quantum gravity
论文作者
论文摘要
在非扰动量子重力的几种方法中，一个主要的问题是获得在无限晶格改进极限下有效的结果。使用Lorentzian Simplicial量子重力，我们在不同晶格中计算3D和4D的光线波动概率。在带有爱因斯坦 - 希尔伯特（Einstein-Hilbert）动作的简化精制框模型中，数值结果表明，晶格精炼不仅会抑制或简单地增强光射线波动，而且实际上驱动了非常宽，非常狭窄的光概率分布向中间。跨晶格和耦合之间的比较揭示了与晶格改进的固定点相关的数值提示。结果符合直觉，即光射线波动反射的量子时空波动从野生显微镜开始，并变得轻微的宏观宏观。精制框模型受到所有尺度上刚性框架的假设的限制。目前的结果表明，围绕零耦合极限的进一步研究，以放松模型的简化假设。
In several approaches of non-perturbative quantum gravity, a major outstanding problem is to obtain results valid at the infinite lattice refinement limit. Working with Lorentzian simplicial quantum gravity, we compute light ray fluctuation probabilities in 3D and 4D across different lattices. In a simplified refined box model with the Einstein-Hilbert action, numerical results show that lattice refinement does not simply suppress or simply enhance light ray fluctuations, but actually drives very wide and very narrow light probability distributions towards intermediate ones. A comparison across lattices and across couplings reveals numerical hints at a lattice refinement fixed point associated with a universality class of couplings. The results fit the intuition that quantum spacetime fluctuations reflected by light ray fluctuations start wild microscopically and become mild macroscopically. The refined box model is limited by the assumption of a rigid frame at all scales. The present results suggest further studies around the zero-coupling limit to relax the simplifying assumptions of the model.
