A Tower Weak Gravity Conjecture from Infrared Consistency
A Tower Weak Gravity Conjecture from Infrared Consistency
复制标题
DOI：
10.1002/prop.201800020
复制
发表时间：
2018-02
期刊：
影响因子：
--
通讯作者：
Stefano Andriolo;D. Junghans;Toshifumi Noumi;G. Shiu
中科院分区：
文献类型：
--
作者：
Stefano Andriolo;D. Junghans;Toshifumi Noumi;G. Shiu
我们分析了在多个\(U(1)\)规范场下带有有质量标量或费米子的三维和四维有效场论的红外一致性条件。在低能情况下，可以对有质量粒子进行积分，从而得到规范场的一圈有效作用量。在作用量中对高阶导数项的与电荷无关的贡献足够小的区域内，通过要求光子因果传播且具有解析的\(S\)矩阵，就有可能导出对有质量粒子的荷质比的约束条件。因此我们发现这些理论需要包含双基本粒子，并满足一种被称为凸包条件的弱引力猜想形式。通过要求在卡鲁扎 - 克莱因紧致化下约束条件的自洽性，我们进一步表明，对于标量，它们意味着一种更强形式的弱引力猜想，其中无穷多粒子塔的荷质比有下限。我们发现这个粒子塔必须再次包含双基本粒子，但不一定必须占据一个电荷（子）格点。
We analyze infrared consistency conditions of 3D and 4D effective field theories with massive scalars or fermions charged under multiple U(1) gauge fields. At low energies, one can integrate out the massive particles and thus obtain a one‐loop effective action for the gauge fields. In the regime where charge‐independent contributions to higher‐derivative terms in the action are sufficiently small, it is then possible to derive constraints on the charge‐to‐mass ratios of the massive particles from requiring that photons propagate causally and have an analytic S‐matrix. We thus find that the theories need to contain bifundamentals and satisfy a version of the weak gravity conjecture known as the convex‐hull condition. Demanding self‐consistency of the constraints under Kaluza‐Klein compactification, we furthermore show that, for scalars, they imply a stronger version of the weak gravity conjecture in which the charge‐to‐mass ratios of an infinite tower of particles are bounded from below. We find that the tower must again include bifundamentals but does not necessarily have to occupy a charge (sub‐)lattice.