论文标题

倾向QED Beta功能和Renormalons $ 1/n_f^2 $和$ 1/n_f^3 $

Towards the QED beta function and renormalons at $1/N_f^2$ and $1/N_f^3$

论文作者

Dondi, Nicola Andrea, Dunne, Gerald V., Reichert, Manuel, Sannino, Francesco

论文摘要

我们确定$ 1/n_f^2 $和$ 1/n_f^3 $的贡献,该QED beta功能来自封闭的嵌套图集。与$ 1/n_f $结果相比,在订单$ 1/n_f^2 $中,我们发现了一个新的对数分支切割,更接近原点。相同的奇点位置出现在$ 1/n_f^3 $中,这些位置对应于光子两点函数的有限部分中的紫外线肾上数奇异性。

We determine the $1/N_f^2$ and $1/N_f^3$ contributions to the QED beta function stemming from the closed set of nested diagrams. At order $1/N_f^2$ we discover a new logarithmic branch-cut closer to the origin when compared to the $1/N_f$ results. The same singularity location appears at $1/N_f^3$, and these correspond to a UV renormalon singularity in the finite part of the photon two-point function.

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