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arXiv 1010.3933hep-th
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规范理论和引力理论的动量核

The Momentum Kernel of Gauge and Gravity Theories

N. E. J. Bjerrum-Bohr, Poul H. Damgaard, Thomas Sondergaard, Pierre Vanhove

摘要:

我们推导出一个显式公式,用于将$n$点闭弦振幅分解为开弦振幅。我们的结果是措辞的动量核,在无限弦张力的限制减少到相应的场论内核。相同的动量核编码的monodromy关系,导致最小基的颜色有序振幅在杨米尔斯理论。动量核与振幅的软极限有关,有一些有趣的结果。我们还评论了引力与规范理论中某些运动学和色因子的组合之间令人惊讶的联系。

英文摘要:

We derive an explicit formula for factorizing an $n$-point closed string amplitude into open string amplitudes. Our results are phrased in terms of a momentum kernel which in the limit of infinite string tension reduces to the corresponding field theory kernel. The same momentum kernel encodes the monodromy relations which lead to the minimal basis of color-ordered amplitudes in Yang-Mills theory. There are interesting consequences of the momentum kernel pertaining to soft limits of amplitudes. We also comment on surprising links between gravity and certain combinations of kinematic and color factors in gauge theory.

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