标题： 如何不确立引力的不可重整化性 显示英文标题

标题： How not to establish the non-renormalizability of gravity

摘要： 广义相对论无法被表述为一个微扰可重正化的量子场论。 一个依赖于贝肯斯坦-霍金熵公式有效性的论点旨在摒弃引力本身不可重正化，以对抗（在诸如渐近安全等计划中所蕴含的）希望，即d维广义相对论可能被证明具有非微扰可重正化的d维量子场论形式。 在本说明中，我们讨论了关于所谓熵论证的辩论双方所假设的各种高度有问题的半经典外推，并表明大量维度约简情景会导致贝肯斯坦-霍金熵的爆发。 显示英文摘要

摘要： General relativity cannot be formulated as a perturbatively renormalizable quantum field theory. An argument relying on the validity of the Bekenstein-Hawking entropy formula aims at dismissing gravity as non-renormalizable per se, against hopes (underlying programs such as Asymptotic Safety) that d-dimensional GR could turn out to have a non-perturbatively renormalizable d-dimensional quantum field theoretic formulation. In this note we discuss various forms of highly problematic semi-classical extrapolations assumed by both sides of the debate concerning what we call The Entropy Argument, and show that a large class of dimensional reduction scenarios leads to the blow-up of Bekenstein-Hawking entropy.