The usual procedure of including a finite number of vertices in NonPerturbative Renormalization Group equations in order to obtain $n$-pointcorrelation functions at finite momenta is analyzed. This is done by exploitinga general method recently introduced which includes simultaneously all verticesalthough approximating their momentum dependence. The study is performed usingthe self-energy of the tridimensional scalar model at criticality. At least inthis example, low order truncations miss quantities as the critical exponent$\eta$ by as much as 60%. However, if one goes to high order truncations theprocedure seems to converge rapidly.
展开▼
机译:分析了在非扰动重正化组方程中包含有限数量的顶点以便在有限时刻获得$ n $ -pointcorrelation函数的通常过程。这是通过利用最近引入的通用方法来完成的,该方法同时包括所有顶点,尽管近似于它们的动量依赖性。该研究是在临界状态下使用三维标量模型的自能进行的。至少在此示例中,低阶截断错过了高达60%的临界指数\ eta $数量。但是,如果进行高阶截断,该过程似乎会迅速收敛。
展开▼