论文标题

高旋转杨米尔,振幅和自以为是

Higher-spin Yang-Mills, amplitudes and self-duality

论文作者

Adamo, Tim, Tran, Tung

论文摘要

相互作用的高旋转理论的存在受到许多无关定理的严格限制。在本文中,我们构建了阳米尔斯理论的手性,高旋转的概括,避免了这些不做的定理,并具有非平凡的树级散射幅度,并具有一些高旋转的外部腿。田地和动作很复杂,因此该理论是非自然的和奇异的,但是我们发现在违反最大隐地(MHV)部门的全型树水平散射幅度的紧凑配方令人惊讶地紧凑,其中两个负螺旋粒子具有相同但任意的自旋。这是可能的,因为该理论承认了其自偶联部门的扰动扩展。使用Twistor理论,我们证明了这个自偶联扇区的经典整合性,并表明可以通过无限的无质量标量场的无限塔来描述它。我们还提供了完整理论的扭曲构建,并使用它来得出MHV振幅的公式。

The existence of interacting higher-spin theories is tightly constrained by many no-go theorems. In this paper, we construct a chiral, higher-spin generalization of Yang-Mills theory in flat space which avoids these no-go theorems and has non-trivial tree-level scattering amplitudes with some higher-spin external legs. The fields and action are complex, so the theory is non-unitary and parity-violating, yet we find surprisingly compact formulae for all-multiplicity tree-level scattering amplitudes in the maximal helicity violating (MHV) sector, where the two negative helicity particles have identical but arbitrary spin. This is possible because the theory admits a perturbative expansion around its self-dual sector. Using twistor theory, we prove the classical integrability of this self-dual sector and show that it can be described on spacetime by an infinite tower of interacting massless scalar fields. We also give a twistor construction of the full theory, and use it to derive the formula for the MHV amplitude.

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