论文标题

Gluonic Evanescent Operator:分类和单环的重新归一化

Gluonic evanescent operators: classification and one-loop renormalization

论文作者

Jin, Qingjun, Ren, Ke, Yang, Gang, Yu, Rui

论文摘要

Evanescent Operators是一类特殊的操作员,在四维时空中经典消失,而总的来说,它们不是零,并且有望在量子循环水平上具有非平凡的物理效应。在本文中,我们启动了纯阳米尔斯理论中逃生运营商的研究。我们开发了一种系统的方法,用于分类和构建$ d $二维的洛伦兹不变性evanestent Operators,该操作员开始出现在质量尺寸十中。我们还通过$ d $维单位方法来计算尺寸ten运算符的一环形式,并获得其一环异常尺寸。这些操作员是研究涉及Yang-Mills行业的有效现场理论中高维操作员的必要成分。

Evanescent operators are a special class of operators that vanish classically in four-dimensional spacetime, while in general dimensions they are non-zero and are expected to have non-trivial physical effects at the quantum loop level in dimensional regularization. In this paper we initiate the study of evanescent operators in pure Yang-Mills theory. We develop a systematic method for classifying and constructing the $d$-dimensional Lorentz invariant evanescent operators, which start to appear at mass dimension ten. We also compute one-loop form factors for the dimension-ten operators via the $d$-dimensional unitarity method and obtain their one-loop anomalous dimensions. These operators are necessary ingredients in the study of high dimensional operators in effective field theories involving a Yang-Mills sector.

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