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arXiv 1812.08752hep-thgr-qc
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最简单的大质量S-矩阵:从最小耦合到黑洞

The simplest massive S-matrix: from minimal coupling to Black Holes

Ming-Zhi Chung, Yu-tin Huang, Jung-Wook Kim, Sangmin Lee

摘要:

本文从在壳层的观点出发,探讨了电磁和引力耦合的大质量高自旋态的物理性质。从三点振幅开始,我们专注于最简单的振幅,其特征在于匹配到UV中的最小耦合。在IR中,这样的振幅导致对于任意带电自旋状态g = 2,以及对于给定自旋的最佳高能行为。我们继续构造一般自旋的(引力)康普顿振幅。我们发现,领先的变形远离最小的耦合,在引力部门,将导致不一致的因式分解,从而被禁止。由于规范扇区中的相应变形编码了反常磁偶极矩,这导致了对于规范2 =引力关系的系统(如微扰弦论),所有带电态必须具有g = 2的预测。然后很自然地要求一般的自旋,产生这种最小耦合的理论是什么。通过与单体有效作用量的匹配,我们验证了对于大自旋,答案是Kerr黑洞。这种识别是无毛定理的外壳化身。最后,利用这个识别以及新构造的康普顿振幅,我们继续计算的自旋相关件的经典势在2PM阶至4度的自旋算子的黑洞。

英文摘要:

In this paper, we explore the physics of electromagnetically and gravitationally coupled massive higher spin states from the on-shell point of view. Starting with the three-point amplitude, we focus on the simplest amplitude which is characterized by matching to minimal coupling in the UV. In the IR such amplitude leads to g = 2 for arbitrary charged spin states, and the best high energy behavior for a given spin. We proceed to construct the (gravitational) Compton amplitude for generic spins. We find that the leading deformation away from minimal coupling, in the gravitation sector, will lead to inconsistent factorizations and are thus forbidden. As the corresponding deformation in the gauge sector encodes the anomalous magnetic dipole moment, this leads to the prediction that for systems with gauge2 =gravity relations, such as perturbative string theory, all charged states must have g = 2. It is then natural to ask for generic spin, what is the theory that yields such minimal coupling. By matching to the one body effective action, remarkably we verify that for large spins, the answer is Kerr black holes. This identification is then an on-shell avatar of the no hair theorem. Finally using this identification as well as the newly constructed Compton amplitudes, we proceed to compute the spin dependent pieces for the classical potential at 2PM order up to degree four in spin operator of either black holes.

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