论文标题
对爱因斯坦重力校正的因果关系约束
Causality constraints on corrections to Einstein gravity
论文作者
论文摘要
我们在四维弱耦合有效的现场理论中研究了$ 2 \ to2 $ graviton散射的因果关系和单位性的约束。因果关系和单位性共同表示将低能可观察到的分散关系与高能数据联系起来。使用这种分散关系,我们根据重力威尔逊系数的两侧边界,从新的高旋转状态的质量$ m $角度来看。我们的边界表明,重力相互作用必须在极限$ g \至0 $中均匀关闭,并通过维度分析(最高红外对数)预期的$ m $证明缩放缩放。我们推测因果关系,以及在山脉处的重力耦合较高自旋状态的非观察性,严重限制了对爱因斯坦重力的修改,这在不久的将来可以通过实验探测。
We study constraints from causality and unitarity on $2\to2$ graviton scattering in four-dimensional weakly-coupled effective field theories. Together, causality and unitarity imply dispersion relations that connect low-energy observables to high-energy data. Using such dispersion relations, we derive two-sided bounds on gravitational Wilson coefficients in terms of the mass $M$ of new higher-spin states. Our bounds imply that gravitational interactions must shut off uniformly in the limit $G \to 0$, and prove the scaling with $M$ expected from dimensional analysis (up to an infrared logarithm). We speculate that causality, together with the non-observation of gravitationally-coupled higher spin states at colliders, severely restricts modifications to Einstein gravity that could be probed by experiments in the near future.