标题： 阿贝尔规范耦合在渐近安全量子引力中的调节器和规范依赖性 显示英文标题

标题： Regulator and gauge dependence of the Abelian gauge coupling in asymptotically safe quantum gravity

摘要： 广义相对论和粒子物理的标准模型都不是紫外完备的。 广义相对论是微扰不可重整化的，而标准模型具有兰道极点，在有限能量下耦合常数会被预测发散，例如在阿贝尔规范部分。 渐近安全量子引力可能同时解决这两个问题。 在本文中，我们评估与这一情景相关的系统不确定性，特别是引力引起的阿贝尔规范部分的紫外完备性。 具体而言，我们研究了这种定性特征，即紫外完备规范部分的存在性，对非物理选择如规范条件和正则化函数的依赖性。 有趣的是，在某些情景中，我们发现相对于正则化参数和规范参数同时具有最小敏感性的点，这允许紫外完备性。 这进一步表明，通过渐近安全固定点同时实现量子引力和物质的紫外完备性是一个稳健的物理特征，并且物理量如标度指数可以独立于非物理选择。 显示英文摘要

摘要： Both General Relativity and the Standard Model of particle physics are not UV complete. General Relativity is perturbatively non-renormalizable, while the Standard Model features Landau poles, where couplings are predicted to diverge at finite energies, e.g., in the Abelian gauge sector. Asymptotically safe quantum gravity may resolve both of these issues at the same time. In this paper, we assess the systematic uncertainties associated with this scenario, in particular with the gravitationally induced UV-completion of the Abelian gauge sector. Specifically, we study the dependence of this qualitative feature, namely the existence of a UV-complete gauge sector, on unphysical choices like the gauge, and the regulator function. Intriguingly, in some scenarios, we find simultaneous points of minimal sensitivity relative to both the regulator and gauge parameters, which allow for a UV completion. This provides further indications that the simultaneous UV-completion of quantum gravity and matter via an asymptotically safe fixed point is a robust physical feature, and that physical quantities, like scaling exponents, can become independent of unphysical choices.