论文标题
在有效量子重力中的Vilkovisky-Dewitt方法和重新归一化组
On the Vilkovisky-DeWitt approach and renormalization group in effective quantum gravity
论文作者
论文摘要
量子相对论的有效作用在很大程度上取决于量子公制的量规和参数化。结果，在有效的量子重力方法中，没有可能以一致的方式引入重新归一化框架。另一方面，Vilkovisky和DeWitt提出的有效动作的版本并不取决于固定和参数化的脱机，为探索宇宙学和牛顿常数的运行开辟了道路，以及总动作的高源性术语的系数。我们认为，在有效的框架中，可以将零，二和四衍生术语的单循环beta函数视为精确，这意味着没有从较高循环的校正。从这个角度来看，运行描述了IR中当今哈勃量表与紫外线中的Planck量表之间的重新归一化组流。
The effective action in quantum general relativity is strongly dependent on the gauge-fixing and parametrization of the quantum metric. As a consequence, in the effective approach to quantum gravity, there is no possibility to introduce the renormalization-group framework in a consistent way. On the other hand, the version of effective action proposed by Vilkovisky and DeWitt does not depend on the gauge-fixing and parametrization off-shell, opening the way to explore the running of the cosmological and Newton constants as well as the coefficients of the higher-derivative terms of the total action. We argue that in the effective framework the one-loop beta functions for the zero-, two- and four-derivative terms can be regarded as exact, that means, free from corrections coming from the higher loops. In this perspective, the running describes the renormalization group flow between the present-day Hubble scale in the IR and the Planck scale in the UV.
