论文标题

有效的野外理论岛来自扰动和非扰动的四颗粒振幅

Effective Field Theory Islands from Perturbative and Nonperturbative Four-Graviton Amplitudes

论文作者

Bern, Zvi, Herrmann, Enrico, Kosmopoulos, Dimitrios, Roiban, Radu

论文摘要

从物理明智的场和弦理论模型获得的理论数据表明,与当前一般性,因果关系,交叉对称性和良好的高能量行为相比,重力有效场理论(EFT)生活在很小的岛上。在这项工作中,我们介绍了显式扰动和非扰动$ 2 \ 2 $ 2 $ GRAVITON散射幅度及其在时空维度中相关的低能扩张$ d \ geq 4 $,以支持此概念。我们的新结果包括一个由$ d = 4 $,$ \ MATHCAL {n} = 1 $超对称场理论组成的第一个非驱动示例,该示例与重力弱耦合。我们表明,这种非扰动模型位于使用基于字符串理论和微小耦合物循环循环的四维扰动模型鉴定的相同岛屿。此外,我们将基于字符串理论以及在循环中循环的最小耦合的大量Spin-0和Spin-1状态概括为先前的四维扰动模型。值得注意的是,我们再次发现,低能的EFT系数位于小岛上。这些结果为约束爱因斯坦重力的可能扩展提供了有用的指南。

Theoretical data obtained from physically sensible field and string theory models suggest that gravitational Effective Field Theories (EFTs) live on islands that are tiny compared to current general bounds determined from unitarity, causality, crossing symmetry, and a good high-energy behavior. In this work, we present explicit perturbative and nonperturbative $2 \to 2$ graviton scattering amplitudes and their associated low-energy expansion in spacetime dimensions $D\geq 4$ to support this notion. Our new results include a first nonperturbative example consisting of a $D=4$, $\mathcal{N}=1$ supersymmetric field theory that is coupled weakly to gravity. We show that this nonperturbative model lies on the same islands identified using four-dimensional perturbative models based on string theory and minimally-coupled matter circulating a loop. Furthermore, we generalize the previous four-dimensional perturbative models based on string theory and minimally-coupled massive spin-0 and spin-1 states circulating in the loop to $D$ dimensions. Remarkably, we again find that the low-energy EFT coefficients lie on small islands. These results offer a useful guide towards constraining possible extensions of Einstein gravity.

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