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摘要翻译：
分析了在非扰动重整化群方程中包含有限个顶点以求有限动量下的n$点关联函数的一般步骤。这是通过利用最近引入的一种通用方法来实现的，该方法同时包括所有顶点，尽管接近它们的动量依赖关系。研究是利用三维标量模型在临界状态下的自能进行的。至少在本例中，低阶截断遗漏临界指数$\eta$的量高达60%。然而，如果进行高阶截断，过程似乎会迅速收敛。
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英文标题：
《Correlation functions in the Non Perturbative Renormalization Group and
field expansion》
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作者：
Diego Guerra, Ramon Mendez-Galain and Nicolas Wschebor
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最新提交年份：
2007
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分类信息：
一级分类：Physics 物理学
二级分类：High Energy Physics - Theory 高能物理-理论
分类描述：Formal aspects of quantum field theory. String theory, supersymmetry and supergravity.
量子场论的形式方面。弦理论，超对称性和超引力。
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一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
The usual procedure of including a finite number of vertices in Non Perturbative Renormalization Group equations in order to obtain $n$-point correlation functions at finite momenta is analyzed. This is done by exploiting a general method recently introduced which includes simultaneously all vertices although approximating their momentum dependence. The study is performed using the self-energy of the tridimensional scalar model at criticality. At least in this example, low order truncations miss quantities as the critical exponent $\eta$ by as much as 60%. However, if one goes to high order truncations the procedure seems to converge rapidly.
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PDF链接：
https://arxiv.org/pdf/704.0258
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