论文标题

$ o(n)$对称的标量理论中$ ϕ^q $运算符的五环异常尺寸

Five-loop anomalous dimensions of $ϕ^Q$ operators in a scalar theory with $O(N)$ symmetry

论文作者

Jin, Qingjun, Li, Yi

论文摘要

我们计算了$ O(n)$ sculetar理论到五环的$ o(n)$ o(n)$ c $ $ q $ qu $ qu $ quak $ q $的完整$ q $依赖性。重新归一化因子是从$ ϕ^q \ rightarrow q ϕ $ form formal中提取的,并且借助单位性切割方法构建了形式因素的积分。异常的尺寸与\ cite {badel:2019oxl,antipin:2020abu}中的已知结果相匹配,其中使用半经典方法获得了大$ q $限制中的前导和旋字母术语。

We compute the complete $Q$-dependence of anomalous dimensions of traceless symmetric tensor operator $ϕ^Q$ in $O(N)$ scalar theory to five-loop. The renormalization factors are extracted from $ϕ^Q\rightarrow Qϕ$ form factors, and the integrand of form factors are constructed with the help of unitarity cut method. The anomalous dimensions match the known results in \cite{Badel:2019oxl, Antipin:2020abu}, where the leading and subleading terms in the large $Q$ limit were obtained using a semiclassical method.

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