论文标题
$ {\ cal n} = 1 $ sqcd的三环adler $ d $ - 功能
The three-loop Adler $D$-function for ${\cal N}=1$ SQCD with various renormalization prescriptions
论文作者
论文摘要
计算$ {\ cal n} = 1 $ sqcd的三环$ d $ function在$ \ overline {\ mbox {dr}} $方案中。似乎结果不满足将$ d $功能与物质超级场的异常维度相关联的NSVZ样方程。但是，可以通过重新归一化方案的特殊调整来恢复这种类似NSVZ的方程。另外，我们还证明，在使用尺寸降低的正则化时，根据裸耦合定义的$ D $函数不能满足NSVZ样方程。简要讨论了以$β$ expansion的形式编写的$ d $功能的方案依赖性。
The three-loop Adler $D$-function for ${\cal N}=1$ SQCD in the $\overline{\mbox{DR}}$ scheme is calculated. It appears that the result does not satisfy NSVZ-like equation which relates the $D$-function to the anomalous dimension of the matter superfields. However this NSVZ-like equation can be restored by a special tuning of the renormalization scheme. Also we demonstrate that the $D$-function defined in terms of the bare coupling does not satisfy the NSVZ-like equation in the case of using the regularization by dimensional reduction. The scheme-dependence of the $D$-function written in the form of the $β$-expansion is briefly discussed.
