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首页> 外文期刊>Nuclear physics, B >The Adler D-function for N = 1 SQCD regularized by higher covariant derivatives in the three-loop approximation
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The Adler D-function for N = 1 SQCD regularized by higher covariant derivatives in the three-loop approximation

机译:Adler d - n = 1 SQCD在三环近似下的更高的Covariant衍生品规则化

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We calculate the Adler D -function for N = 1 SQCD in the three-loop approximation using the higher covariant derivative regularization and the NSVZ-like subtraction scheme. The recently formulated all-order relation between the Adler function and the anomalous dimension of the matter superfields defined in terms of the bare coupling constant is first considered and generalized to the case of an arbitrary representation for the chiral matter superfields. The correctness of this all-order relation is explicitly verified at the three-loop level. The special renormalization scheme in which this all-order relation remains valid for the D -function and the anomalous dimension defined in terms of the renormalized coupling constant is constructed in the case of using the higher derivative regularization. The analytic expression for the Adler function for N = 1 SQCD is found in this scheme to the order O ( α s 2 ) . The problem of scheme-dependence of the D -function and the NSVZ-like equation is briefly discussed.
机译:我们使用较高的协变衍生正则化和NSVZ类似的减法方案计算在三环近似下的n = 1 sqcd的Adler D -Function。首先考虑在裸耦合常数方面定义的交流功能和异常尺寸之间的最近配制的所有顺序关系,并推广到手性物质超字段的任意表示的情况。在三环级别明确验证了这种各项关系的正确性。在使用更高的衍生正则化的情况下,构建了在使用更高的衍生规则化的情况下构建了这种全阶关系的特殊重新定位方案。在使用更高的衍生规则化的情况下,构建了在重型化耦合常数方面定义的异常尺寸。在该方案中发现了N = 1 SQCD的Adler函数的分析表达式,到了ORDOR O(αS2)。简要讨论了D -Function和NSVZ样方程的方案依赖性的问题。

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