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arXiv 1705.03025hep-th
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散射振幅的统一关系

Unifying Relations for Scattering Amplitudes

Clifford Cheung, Chia-Hsien Shen, Congkao Wen

摘要:

我们推导出新的振幅关系,揭示了在任意时空维度的广泛理论之间隐藏的统一性。我们的结果依赖于一组洛伦兹不变的微分算子,它将物理树级散射振幅转化为新的振幅。通过变换耦合到一个介子和两种形式的引力振幅,我们生成了Einstein-Yang-Mills理论、Dirac-Born-Infield理论、特殊Galileon、非线性西格玛模型和双伴随标量理论的全部振幅。嬗变也与弦论及其变体中的振幅有关。作为推论,胶子和引力子散射的著名方面,如色运动学对偶性,KLT关系,和CHY结构是transmated振幅的遗传特征。嬗变重铸阿德勒零作为一个微不足道的后果温伯格软定理,并意味着新的subleading软定理某些标量理论。

英文摘要:

We derive new amplitudes relations revealing a hidden unity among wide-ranging theories in arbitrary spacetime dimensions. Our results rely on a set of Lorentz invariant differential operators which transmute physical tree-level scattering amplitudes into new ones. By transmuting the amplitudes of gravity coupled to a dilaton and two-form, we generate all the amplitudes of Einstein-Yang-Mills theory, Dirac-Born-Infield theory, special Galileon, nonlinear sigma model, and biadjoint scalar theory. Transmutation also relates amplitudes in string theory and its variants. As a corollary, celebrated aspects of gluon and graviton scattering like color-kinematics duality, the KLT relations, and the CHY construction are inherited traits of the transmuted amplitudes. Transmutation recasts the Adler zero as a trivial consequence of the Weinberg soft theorem and implies new subleading soft theorems for certain scalar theories.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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