标题： 标量弱引力界限来自完全单位性 显示英文标题

标题： Scalar weak gravity bound from full unitarity

摘要： 弱引力猜想可以表述为一个陈述，即在低能有效场论（EFT）中，引力必须是比其他相互作用更弱的力。 从弦理论和黑洞物理的角度提出了几个支持这一陈述的论点。 然而，基于因果性、单位性和局域性等更一般的假设，是否能够证明弱引力的陈述仍然是一个开放问题。 这些一致性要求导致了散射振幅的色散关系，这些关系允许对EFT系数进行限制。 在存在引力的情况下获得这些约束的主要困难与引力子极点有关，这使得所需的色散关系在正向极限下发散。 在这项工作中，我们提出了一种新的方法，通过将引力子极点引起的红外发散与前面维度-12算符的EFT威尔逊系数的单环运行进行对比，来推导EFT截断尺度与普朗克质量比值的界限。 我们的方法还允许将紫外理论的部分波展开的完整单位性纳入考虑。 我们检查了四维中一个移位对称标量的EFT，并发现与引力耦合的EFT截断尺度的最大值必须低于约$O(10)$普朗克质量。 显示英文摘要

摘要： Weak gravity conjecture can be formulated as a statement that gravity must be the weakest force, compared to the other interactions in low energy effective field theory (EFT). Several arguments in favor of this statement were presented from the side of string theory and black hole physics. However, it is still an open question whether the statement of weak gravity can be proven based on more general assumptions of causality, unitarity, and locality of the fundamental theory. These consistency requirements imply the dispersion relations for the scattering amplitudes which allow to bound the EFT coefficients. The main difficulty for obtaining these constraints in the presence of gravity is related to the graviton pole which makes the required dispersion relations divergent in the forward limit. In this work, we present a new way of deriving the bound on the ratio between the EFT cutoff scale and Planck mass from confronting the IR divergences from graviton pole and one-loop running of the EFT Wilson coefficient in front of the dimension-12 operator. Our method also allows the incorporation of full unitarity of partial wave expansion of the UV theory. We examine the EFT of a single shift-symmetric scalar in four dimensions and find that the maximal value of the cutoff scale of the EFT coupled to gravity must be lower than about $O(10)$ Planck mass.