arXiv 1409.80872014-09-29hep-th

超对称和非超对称规范理论中的散射振幅

Scattering amplitudes in gauge theories with and without supersymmetry

Alexander Ochirov

备注：: 111 pages, PhD thesis defended on 12/09/2014

摘要：

本论文的目的是提供更好的理解有和没有超对称性的规范理论的微扰展开。在树级，分析了BCFW递归关系对杨-米尔斯理论中一般离壳对象的有效性，这距离其既定的适用范围有很大的一步。非物理极点构成了一个新的潜在问题，除了边界行为的问题，共同的壳的情况下，以及。对于无限族的大质量费米子流，在一定条件下，这两个障碍都被证明是可以避免的，这提供了一个自然的递归关系。在一个循环中，散射振幅可以通过将其展开为具有自由系数的已知标量积分的么正性切割来计算。一个强大的方法来获得这些系数，即旋量积分，进行了讨论，并重新推导出一个有点新颖的形式。然后，它被用来计算解析的无穷级数的单圈胶子振幅在N = 1超杨米尔斯理论正好有三个负螺旋。本文的最后一部分是关于胶子和引力子散射振幅之间的有趣关系，它涉及到规范理论的颜色和运动学内容之间的一种美丽的对偶性。这种BCJ对偶性被扩展到包括规范群的基本表示中的粒子，这被证明可以解除BCJ构造对可因子化引力的限制，从而可以获得通用（超）引力理论中的振幅。

英文摘要：

This thesis aims at providing better understanding of the perturbative expansion of gauge theories with and without supersymmetry. At tree level, the BCFW recursion relations are analyzed with respect to their validity for general off-shell objects in Yang-Mills theory, which is a significant step away from their established zone of applicability. Unphysical poles constitute a new potential problem in addition to the boundary behavior issue, common to the on-shell case as well. For an infinite family of massive fermion currents, both obstacles are shown to be avoided under the certain conditions, which provides a natural recursion relation. At one loop, scattering amplitudes can be calculated from unitarity cuts through their expansion into known scalar integrals with free coefficients. A powerful method to obtain these coefficients, namely spinor integration, is discussed and rederived in a somewhat novel form. It is then used to compute analytically the infinite series of one-loop gluon amplitudes in N = 1 super-Yang-Mills theory with exactly three negative helicities. The final part of this thesis concerns the intriguing relationship between gluon and graviton scattering amplitudes, which involves a beautiful duality between the color and kinematic content of gauge theories. This BCJ duality is extended to include particles in the fundamental representation of the gauge group, which is shown to relieve the restriction of the BCJ construction to factorizable gravities and thus give access to amplitudes in generic (super-)gravity 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。

摘要：

英文摘要：

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