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arXiv 1807.00909hep-th
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标量QED大$N_f$展开的背景场方法

Background field method in the large $N_f$ expansion of scalar QED

Zhi-Yuan Zheng, Gai-Ge Deng

摘要:

在大$N_f$近似下,利用背景场方法,用两种不同的方法计算了$1/N_f$中一阶非平凡标量量子电动力学的β函数.在第一种方法中,我们通过对所有直接贡献的图求和来得到结果。第二种方法,我们从相关的两点格林函数的Borel变换开始。主要结果是:β函数完全由一个简单函数确定,可以表示为一个具有有限收敛半径的解析表达式,两点格林函数的格式相关的重整化Borel变换存在重整化.

英文摘要:

Using the background field method, we, in the large $N_f$ approximation, calculate the beta function of scalar quantum electrodynamics at the first nontrivial order in $1/N_f$ by two different ways. In the first way, we get the result by summing all the graphs contributing directly. In the second way, we begin with the Borel transform of the related two point Green's function. The main results are that the beta function is fully determined by a simple function and can be expressed as an analytic expression with a finite radius of convergence, and the scheme-dependent renormalized Borel transform of the two point Green's function suffers from renormalons.

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。

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