论文标题

安全的基本标量理论

Safe essential scalar-tensor theories

论文作者

Knorr, Benjamin

论文摘要

我们讨论了量子重力的所有必需耦合的重量级化组流量,该量子重力与衍生膨胀的第四阶相连的量子重力耦合。我们得出了相图的全局结构,并在理论空间中确定了一个有界区域,该区域在紫外线中均不安全,并连接到红外的标准有效现场理论。因此,我们的系统满足了弱势界限。基本四量量耦合的允许红外行为受到紫外线完成的限制。没有自由参数的理论可以饱和,这给出了完全预测性标量调整理论的具体示例。

We discuss the renormalisation group flow of all essential couplings of quantum gravity coupled to a shift-symmetric scalar field at fourth order in the derivative expansion. We derive the global structure of the phase diagram, and identify a bounded region in theory space which is both asymptotically safe in the ultraviolet, and connects to standard effective field theory in the infrared. Our system thus satisfies the weak-gravity bound. The allowed infrared behaviour of the essential four-scalar coupling is restricted by requiring an ultraviolet completion. This bound can be saturated by a theory without free parameters, which gives a concrete example for a fully predictive scalar-tensor theory.

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