arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0905.1473hep-th
收藏

从规范理论振幅中消除寄生极点

Eliminating spurious poles from gauge-theoretic amplitudes

Andrew Hodges

摘要:

本说明解决了规范理论散射振幅中的杂散极点问题。基于对偶共形不变性的概念,引入了新的动量扭量坐标。在这些坐标系中,一类NMHV振幅的寄生极点的消除被大大简化。通过定义一种新的扭量积分,与先前研究的扭量图对偶,并且相当简单,可以完全消除极点。几何特征表明至少对所有NMHV振幅的形式主义的超对称扩展,使得超振幅的二面角对称性得以显现。更一般地说,“动量扭量”坐标的定义提出了一个强大的新方法来研究散射振幅。

英文摘要:

This note addresses the problem of spurious poles in gauge-theoretic scattering amplitudes. New twistor coordinates for the momenta are introduced, based on the concept of dual conformal invariance. The cancellation of spurious poles for a class of NMHV amplitudes is greatly simplified in these coordinates. The poles are eliminated altogether by defining a new type of twistor integral, dual to twistor diagrams as previously studied, and considerably simpler. The geometric features indicate a supersymmetric extension of the formalism at least to all NMHV amplitudes, allowing the dihedral symmetry of the super-amplitude to be made manifest. More generally, the definition of `momentum-twistor' coordinates suggests a powerful new approach to the study of scattering amplitudes.

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。

↑