Two-component spinor techniques and Feynman rules for quantum field theory and supersymmetry
Two-component spinor techniques and Feynman rules for quantum field theory and supersymmetry
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DOI：
10.1016/j.physrep.2010.05.002
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发表时间：
2008-12
期刊：
影响因子：
--
通讯作者：
H. Dreiner;H. Haber;S. P. Martin
中科院分区：
文献类型：
--
作者：
H. Dreiner;H. Haber;S. P. Martin
两分量旋量是3+1维时空量子场论中描述费米子的基本成分。我们发展和审查的技术的两个组件旋量形式主义，并提供了一套完整的费曼规则，费米子使用两个组件旋量符号。这些规则适用于标准模型及其扩展（包括超对称性）中的截面、衰变率和辐射修正的实际计算，并提供了许多明确的例子。本文提出的统一处理方法适用于无质量的外尔费米子和大质量的狄拉克费米子和马约拉纳费米子。我们展示了两个组件旋量形式主义和更传统的四个组件旋量形式主义之间的关系，并表明它们的连接旋量螺旋度方法和技术的螺旋度振幅的计算。
Two-component spinors are the basic ingredients for describing fermions in quantum field theory in 3+1 spacetime dimensions. We develop and review the techniques of the two-component spinor formalism and provide a complete set of Feynman rules for fermions using two-component spinor notation. These rules are suitable for practical calculations of cross-sections, decay rates, and radiative corrections in the Standard Model and its extensions, including supersymmetry, and many explicit examples are provided. The unified treatment presented in this review applies to massless Weyl fermions and massive Dirac and Majorana fermions. We exhibit the relation between the two-component spinor formalism and the more traditional four-component spinor formalism, and indicate their connections to the spinor helicity method and techniques for the computation of helicity amplitudes.