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arXiv 1409.8256hep-th
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从散射方程求Einstein-Yang-Mills散射振幅

Einstein-Yang-Mills Scattering Amplitudes From Scattering Equations

Freddy Cachazo, Song He, Ellis Ye Yuan

摘要:

我们提出的积木,可以结合起来,以产生树级的S-矩阵元素的各种理论与各种自旋混合在任意尺寸。通过对球上$n$点的位置进行积分,给出了满足散射方程的$n$无质量粒子散射的新公式。作为应用,我们得到了Einstein-Yang-Mills(EYM)理论中的所有单迹振幅,并推广到标量。同样在EYM中,但由B场和胶子扩展,我们提出了所有的双迹胶子振幅。构建模块由Pfweans和Parke-Taylor类因子的粒子标签子集组成。

英文摘要:

We present the building blocks that can be combined to produce tree-level S-matrix elements of a variety of theories with various spins mixed in arbitrary dimensions. The new formulas for the scattering of $n$ massless particles are given by integrals over the positions of $n$ points on a sphere restricted to satisfy the scattering equations. As applications, we obtain all single-trace amplitudes in Einstein--Yang--Mills (EYM) theory, and generalizations to include scalars. Also in EYM but extended by a B-field and a dilaton, we present all double-trace gluon amplitudes. The building blocks are made of Pfaffians and Parke--Taylor-like factors of subsets of particle labels.

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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