论文标题
闭合字符串和高自旋因果关系的重力较弱
Closed Strings and Weak Gravity from Higher-Spin Causality
论文作者
论文摘要
我们结合了新旧量子场理论论点，以表明只有在重力扇区具有弦乐结构时，才能将任何稳定或稳定的较高自旋颗粒理论耦合到重力。自由或相互作用的较高的较高自旋颗粒不能将因果关系赋予重力，除非重力部门中存在较高的自旋状态，否则较高的自旋状态低于普朗克尺度$ m _ {\ rm pl} $。我们在非重力部门的数量方面，在重力部门的质量$λ_{\ rm gr} $上获得了质量$λ_{\ rm gr} $。我们调用CKSZ唯一性定理，认为任何弱耦合的紫外线完成此类理论都必须具有一个重力部门，其中包含渐近平行，静态和线性恢复轨迹的无限塔。因此，重力四点散射幅度必须与$ s，t \ gg1 $的封闭字符串四点振幅一致，将$λ_{\ rm gr} $作为字符串标识。我们的界限还意味着，所有亚稳态的较高的自旋粒子在4D中，质量$ m \llλ_{\ rm gr} $都必须满足弱重力条件。
We combine old and new quantum field theoretic arguments to show that any theory of stable or metastable higher spin particles can be coupled to gravity only when the gravity sector has a stringy structure. Metastable higher spin particles, free or interacting, cannot couple to gravity while preserving causality unless there exist higher spin states in the gravitational sector much below the Planck scale $M_{\rm pl}$. We obtain an upper bound on the mass $Λ_{\rm gr}$ of the lightest higher spin particle in the gravity sector in terms of quantities in the non-gravitational sector. We invoke the CKSZ uniqueness theorem to argue that any weakly coupled UV completion of such a theory must have a gravity sector containing infinite towers of asymptotically parallel, equispaced, and linear Regge trajectories. Consequently, gravitational four-point scattering amplitudes must coincide with the closed string four-point amplitude for $s,t\gg1$, identifying $Λ_{\rm gr}$ as the string scale. Our bound also implies that all metastable higher spin particles in 4d with masses $m\ll Λ_{\rm gr}$ must satisfy a weak gravity condition.
