论文标题
NSVZ $β$功能和非阿布尔案件中NSVZ方案的全环扰动推导通过总结单数贡献
The all-loop perturbative derivation of the NSVZ $β$-function and the NSVZ scheme in the non-Abelian case by summing singular contributions
论文作者
论文摘要
NSVZ $β$ - 功能$ {\ cal n} = 1 $ supersymmetric量规理论的触发性全环衍生物可以通过量子超级领域产生的奇异性总和来确定较高协变量的衍生剂。这些奇异性源自双重衍生物的积分，并确定从两循环近似开始的$β$功能的所有贡献。他们的总和是根据量子规超级场，faddeev--popov鬼魂和超级场地的量子量规超级场的异常尺寸表示的。这允许以$β$功能与重新归一化组函数函数定义的$β$功能之间的关系形式获得NSVZ方程。它适用于补充较高协变量衍生物正则化的任意重新规定处方。对于根据重新归一化的耦合定义的重归其化组函数，我们证明在所有循环中，NSVZ方案之一由HD+MSL处方给出。
The perturbative all-loop derivation of the NSVZ $β$-function for ${\cal N}=1$ supersymmetric gauge theories regularized by higher covariant derivatives is finalized by calculating the sum of singularities produced by quantum superfields. These singularities originate from integrals of double total derivatives and determine all contributions to the $β$-function starting from the two-loop approximation. Their sum is expressed in terms of the anomalous dimensions of the quantum gauge superfield, of the Faddeev--Popov ghosts, and of the matter superfields. This allows obtaining the NSVZ equation in the form of a relation between the $β$-function and these anomalous dimensions for the renormalization group functions defined in terms of the bare couplings. It holds for an arbitrary renormalization prescription supplementing the higher covariant derivative regularization. For the renormalization group functions defined in terms of the renormalized couplings we prove that in all loops one of the NSVZ schemes is given by the HD+MSL prescription.
