论文标题
规模不变$ d = 3 $理论的$ ϕ^n $的异常尺寸
Anomalous dimensions for $ϕ^n$ in scale invariant $d=3$ theory
论文作者
论文摘要
最近显示，可以半经典地计算运算符$ ϕ^n $的缩放维度，$ d = 3 $理论可以在扰动理论中以领先和倒数$ n $进行验证。在这里，我们将这一验证扩展到六个循环，再次在领先和转标为$ n $上。然后，我们对具有多个真实标量的理论和$ o（n）$不变的相互作用进行类似的练习。我们还研究了此示例的强耦合方案。
Recently it was shown that the scaling dimension of the operator $ϕ^n$ in scale-invariant $d=3$ theory may be computed semiclassically, and this was verified to leading order (two loops) in perturbation theory at leading and subleading $n$. Here we extend this verification to six loops, once again at leading and subleading $n$. We then perform a similar exercise for a theory with a multiplet of real scalars and an $O(N)$ invariant hexic interaction. We also investigate the strong-coupling regime for this example.
