Operator expansions in the minimal subtraction scheme. I. The gluing method

Operator expansions in the minimal subtraction scheme. I. The gluing method
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最小减法方案中的运算符扩展。

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发表时间:
1988
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通讯作者:
K. Chetyrkin
K. Chetyrkin
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文献类型:
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作者:
K. Chetyrkin

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本文的目的是给出一个阐述的组合部分的证明的广义算子展开在短距离的最小减法方案的基础上使用的粘合方法和counterterterterm技术的情况下,拉格朗日和电流没有正常的顺序。我们的方法是不直接基于表达式的重整化过程中的减算子的行动。相反,我们使用维正则化的特定功能和R操作的最具特色的属性之一-该操作的等效性,在拉格朗日中引入局部反项。
The aim of this paper is to give an exposition of the combinatorial part of the proof of the generalized operator expansion at short distances in the minimal subtraction scheme based on the use of the gluing method and the counterterm technique to the case of Lagrangians and currents without normal ordering. Our approach is not based directly on expression of the renormalization procedure in terms of the action of a subtracting operator. Instead of this, we use specific features of dimensional regularization and one of the most characteristic properties of the R operation - the equivalence of this operation to the introduction of local counterterms in the Lagrangian.