论文标题
非扰动量子重力的扰动方法
Perturbative approaches to non-perturbative quantum gravity
论文作者
论文摘要
我们讨论了被称为量子爱因斯坦重力的量子重力的非扰动方法的诞生，其中将重力相互作用猜想为渐近安全。由于尺度不变的紫外线完成，相互作用被认为是有限的，并且在高能方面是一致的。我们根据最初激发它的扰动论点介绍了框架，特别注意$ d = 2+ε$ dimensions中的$ε$ - expansion，以及$ n $的大型口味的大量扩展。本章的组织方式使每个部分主要是独立的，并且可以为概念和技术未来的发展提供一些想法。
We discuss the birth of the non-perturbative approach to quantum gravity known as quantum Einstein gravity, in which the gravitational interactions are conjectured to be asymptotically safe. The interactions are assumed to be finite and consistent at high energies thanks to a scale-invariant ultraviolet completion. We present the framework on the basis of perturbative arguments that originally motivated it, paying special attention to the $ε$-expansion in $d=2+ε$ dimensions and the large-$N$ expansion for $N$ the number of flavors of matter fields. The chapter is organized in such a way that each section is mostly independent and can offer several ideas for both conceptual and technical future developments.
