论文标题
量规理论中红外固定点上高自旋算子的异常尺寸的方案无关序列
Scheme-Independent Series for Anomalous Dimensions of Higher-Spin Operators at an Infrared Fixed Point in a Gauge Theory
论文作者
论文摘要
我们考虑一个渐近免费的矢量规程，其中量规组$ g $和$ n_f $ fermions在表示$ r $ g $中，并具有重新归一化组的红外固定点。我们计算了在此红外固定点上的高旋转双线性费米算子的异常尺寸的方案串联膨胀，最高为$ O（Δ_F^3）$，其中$δ_f$是$ n_f $依赖的扩展变量。我们的一般结果将在几个特殊情况下进行评估，包括$ g = {\ rm su}（n_c）$，$ r $等于基本和伴随表示。
We consider an asymptotically free vectorial gauge theory, with gauge group $G$ and $N_f$ fermions in a representation $R$ of $G$, having an infrared fixed point of the renormalization group. We calculate scheme-independent series expansions for the anomalous dimensions of higher-spin bilinear fermion operators at this infrared fixed point up to $O(Δ_f^3)$, where $Δ_f$ is an $N_f$-dependent expansion variable. Our general results are evaluated for several special cases, including the case $G={\rm SU}(N_c)$ with $R$ equal to the fundamental and adjoint representations.
