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arXiv 1503.02066hep-ph
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光阵面和Wilson线上多胶子离壳层振幅的递推关系

Recursion relations for multi-gluon off-shell amplitudes on the light-front and Wilson lines

C. Cruz-Santiago, P. Kotko, A. Stasto

摘要:

我们在波前微扰理论的框架下分析了离壳层散射振幅。它表明,以前推导出的递归关系树水平的离壳振幅在这种形式主义实际上归一类的图形到威尔逊线。更确切地说,我们建立了一个对应的光前的方法计算的离壳振幅和的方法,它利用的矩阵元素的直无限威尔逊线,这是明显的规范不变对象。此外,由于需要明确地验证光阵面振幅的规范不变性,证明了该框架中的沃德恒等式需要光阵面图中的附加瞬时项。

英文摘要:

We analyze the off-shell scattering amplitudes in the framework of the light-front perturbation theory. It is shown that the previously derived recursion relation between tree level off-shell amplitudes in this formalism actually resums whole classes of graphs into a Wilson line. More precisely, we establish a correspondence between the light-front methods for the computation of the off-shell amplitudes and the approach which makes use of the matrix elements of straight infinite Wilson lines, which are manifestly gauge invariant objects. Furthermore, since it is needed to explicitly verify the gauge invariance of light-front amplitudes, it is demonstrated that the Ward identities in this framework need additional instantaneous terms in the light-front graphs.

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