标题： 具物质的分段平直量子引力的有限性 显示英文标题

标题： Finiteness of piecewise flat quantum gravity with matter

摘要： 我们回顾了基于时空的短距离结构由对应于光滑流形的三角剖分的分段平坦流形给出的量子引力方法。 然后描述了标准模型与此量子引力理论的耦合，并证明当路径积分测度中边长平方乘积的负幂次被选择大于52,5时，相应的路径积分是有限的。 讨论了这一结果的意义，其中包括有效作用量与宇宙波函数之间的关系、非微扰有效作用量的存在、宇宙学常数的正确值以及Starobinsky膨胀的自然出现。 显示英文摘要

摘要： We review the approach to quantum gravity which is based on the assumption that the short-distance structure of the spacetime is given by a piecewise flat manifold corresponding to a triangulation of a smooth manifold. We then describe the coupling of the Standard Model to this quantum gravity theory and show that the corresponding path integral is finite when the negative power of the product of the edge lengths squared in the path-integral measure is chossen to be grater than 52,5. The implications of this result are discussed, which include a relationship between the effective action and a wavefunction of the universe, the existence of the non-perturbative effective action, the correct value of the cosmological constant and the natural appearence of the Starobinsky inflation.