arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1307.2199hep-th
收藏

任意维无质量粒子的散射

Scattering of Massless Particles in Arbitrary Dimension

Freddy Cachazo, Song He, Ellis Ye Yuan

摘要:

本文给出了任意时空维下纯Yang-Mills理论和引力理论的完备树级S矩阵的一个紧致公式。新的公式为n粒子的散射给出了一个积分的位置上的n个点的球限制,以满足一个维数无关的方程组。被积函数是使用2n × 2n矩阵的约化Pfuman构造的,该矩阵依赖于动量和偏振矢量。在其最简单的形式中,引力被积函数是一个约化的行列式,它是杨-米尔斯被积函数中的Pfweian的平方。规范不变性是完全明显的,因为它遵循一个简单的性质的普夫朗。

英文摘要:

We present a compact formula for the complete tree-level S-matrix of pure Yang-Mills and gravity theories in arbitrary spacetime dimension. The new formula for the scattering of n particles is given by an integral over the position of n points on a sphere restricted to satisfy a dimension-independent set of equations. The integrand is constructed using the reduced Pfaffian of a 2n by 2n matrix that depends on momenta and polarization vectors. In its simplest form, the gravity integrand is a reduced determinant which is the square of the Pfaffian in the Yang-Mills integrand. Gauge invariance is completely manifest as it follows from a simple property of the Pfaffian.

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。

↑