论文标题

非保守旋转操作员的动量空间CFT相关器

Momentum space CFT correlators of non-conserved spinning operators

论文作者

Marotta, Raffaele, Skenderis, Kostas, Verma, Mritunjay

论文摘要

我们分析了在动量空间中涉及非保守旋转算子的3点CFT相关器。我们得出了一个涉及两个通用旋转$ s $未保守的操作员和一个旋转1保守电流的三点函数的保形病房身份的一般表达式。当两个非保守的运算符具有旋转1和2和通用的共形尺寸时,我们给出了3点函数的明确表达式。当两个非保守运算符的共形尺寸重合时,我们还系统地分析了这些三点函数中出现的分歧。

We analyse the 3-point CFT correlators involving non-conserved spinning operators in momentum space. We derive a general expression for the conformal Ward identities defining the 3-point functions involving two generic spin $s$ non-conserved operators and a spin 1 conserved current. We give explicit expressions for the 3-point function when the two non-conserved operators have spins 1 and 2 and generic conformal dimensions. We also systematically analyse the divergences appearing in these 3-point functions when the conformal dimensions of the two non-conserved operators coincide.

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