论文标题
$ {\ cal n} = 1 $ supersymmetric量规理论的$ {\ cal n}的有限性的两环重新归一化。
Two-loop renormalization of the matter superfields and finiteness of ${\cal N}=1$ supersymmetric gauge theories regularized by higher derivatives
论文作者
论文摘要
手性物质超级场的两环异常维度是针对一般的$ {\ cal n} = 1 $ supersymmetric量规理论，该理论由较高的协变量衍生物正规化。我们同时获得了根据裸耦合定义的异常维度，也可以获得根据任意重新归一化处方的重新归一化耦合定义的。对于一环有限理论，我们发现较高的导数调节剂之间的简单关系，在该较高的尺寸下，根据所考虑的近似值在裸耦合方面定义的异常尺寸消失。在这种情况下，单环有限理论在HD+MSL方案中也是两环有限的。使用以下假设，即使用较高的协变量正则化，根据裸耦合定义的RGF满足NSVZ方程，我们为三环$β$ function构建表达式。同样，结果是为根据裸耦合而定义的$β$ function编写的。
The two-loop anomalous dimension of the chiral matter superfields is calculated for a general ${\cal N}=1$ supersymmetric gauge theory regularized by higher covariant derivatives. We obtain both the anomalous dimension defined in terms of the bare couplings, and the one defined in terms of the renormalized couplings for an arbitrary renormalization prescription. For the one-loop finite theories we find a simple relation between the higher derivative regulators under which the anomalous dimension defined in terms of the bare couplings vanishes in the considered approximation. In this case the one-loop finite theory is also two-loop finite in the HD+MSL scheme. Using the assumption that with the higher covariant derivative regularization the NSVZ equation is satisfied for RGFs defined in terms of the bare couplings, we construct the expression for the three-loop $β$-function. Again, the result is written both for the $β$-function defined in terms of the bare couplings and for the one defined in terms of the renormalized couplings for an arbitrary renormalization prescription.
