论文标题

局部协变量的有效量子重力方法

Locally covariant approach to effective quantum gravity

论文作者

Brunetti, Romeo, Fredenhagen, Klaus, Rejzner, Kasia

论文摘要

尽管量子重力是不可降低的,但仍可能是扰动序列的一致且数学上严格的结构。 这是基于使用Batalin-Vilkovisky-Becchi-rouet-stora-tyutin形式主义,用于规格理论,扰动代数量子场理论的方法和局部协方差原理。该系列的截断可以解释为有效的量子场理论,该理论为观察到足够小的能量尺度提供了预测。量子宇宙学可以看作是其最低阶膨胀,并且对宇宙微波背景的精确度量产生了这种量子重力方法的首次经验测试。

Despite the fact that quantum gravity is non-renormalisable, a consistent and mathematically rigorous construction of a perturbation series is possible. This is based on the use of the Batalin-Vilkovisky-Becchi-Rouet-Stora-Tyutin formalism for gauge theories, the methods of perturbative algebraic quantum field theory and the principle of local covariance. The truncation of the series can be interpreted as an effective quantum field theory which provides predictions for observations at sufficiently small energy scales. Quantum cosmology can be seen as its lowest order expansion, and precision measurements on the cosmic microwave background yield the first empirical test of this approach to quantum gravity.

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