Constraints for anomalous dimensions of local light-cone operators in [ϕ3]6 theory
Constraints for anomalous dimensions of local light-cone operators in [ϕ3]6 theory
复制标题
[phi3]6 理论中局部光锥算子反常维数的约束
DOI：
10.1007/bf01555504
复制
发表时间：
1991
期刊：
影响因子：
--
通讯作者：
D. Müller
中科院分区：
文献类型：
--
作者：
D. Müller
利用MS格式，我们在[ϕ3]6理论中导出了导捻局部光锥算子Green函数的共线共形Ward恒等式。特殊共线共形变换的Ward恒等式和重整化群不变性给出了β#0一般情况下异常维数矩阵的非对角部分的约束。我们计算了最低环阶特殊保形变换的异常，并从约束条件中得到了2环阶异常维数的非对角部分。
Using the MS scheme, we derive in [ϕ3]6 theory the collinear conformal Ward identity for the Green's functions of local light-cone operators of leading twist. The Ward identity for special collinear conformal transformations and renormalization group invariance give constraints for the off-diagonal part of the anomalous dimension matrix for the general case of β#0. We compute the anomaly of special conformal transformation in lowest loop order and obtain from the constraints the off-diagonal part of the anomalous dimension in 2-loop order.