标题： 层次非线性$O(N)$-不变的$σ$-模型的完美可观测量 显示英文标题

标题： Perfect observables for the hierarchical non-linear $O(N)$-invariant $σ$-model

摘要： 我们通过运行耦合常数的微扰理论，计算了分层非线性$O(N)$-不变$\sigma$-模型沿重整化轨迹的线性重整化群变换的移动本征值和本征向量。移动本征向量被定义为一种Callan-Symanzik类型方程的解。 显示英文摘要

摘要： We compute moving eigenvalues and the eigenvectors of the linear renormalization group transformation for observables along the renormalized trajectory of the hierarchical non-linear $O(N)$-invariant $\sigma$-model by means of perturbation theory in the running coupling constant. Moving eigenvectors are defined as solutions to a Callan-Symanzik type equation.