标题： 渐近安全与张量场理论的结合：迈向一类新的引力-物质系统 显示英文标题

标题： Asymptotic safety meets tensor field theory: towards a new class of gravity-matter systems

摘要： 将渐近安全量子引力与张量场理论相结合，我们展示了第一个在四维空间中包含引力和标量场的理论，该理论可能在标量四次耦合不为零的情况下实现渐近安全性。 我们首先提供了（进一步的）证据，表明在渐近安全性范式中，引力的量子涨落通常会屏蔽（多）标量模型中的四次耦合。 对于一个标量场在内部$O(N)^3$对称性下变换的张量场理论，这会产生这样的效果：即在固定平直背景上最近发现的大$N$下的渐近自由，被量子引力存在下的相互作用固定点所取代。 该固定点来源于物质自相互作用效应与屏蔽引力效应之间的竞争，而这些物质自相互作用效应与通常的标量模型相反，是反屏蔽的。 显示英文摘要

摘要： Combining asymptotically safe quantum gravity with a tensor field theory, we exhibit the first example of a theory with gravity and scalar fields in four dimensions which may realize asymptotic safety at a non-vanishing value of the scalar quartic coupling. We first present (further) evidence that in the asymptotic-safety paradigm, quantum fluctuations of gravity generically screen the quartic couplings in (multi-)scalar models. For a tensor field theory in which the scalar field transforms under an internal $O(N)^3$ symmetry, this has the effect of replacing asymptotic freedom, recently discovered at large $N$ on a fixed flat background, by an interacting fixed point in the presence of quantum gravity. The fixed point originates from the competition between the effects of the matter self-interactions which, contrary to the usual scalar models, are antiscreening, and the screening gravitational effects.