摘要翻译：
计算了临界三维O(N)模型的自能。分析是在非扰动重整化群的背景下进行的，通过利用一个考虑无穷多个顶点贡献的近似。一个非常简单的计算得到了整个动量范围内的2点函数，从紫外高斯区到标度区。结果与文献中关于N在所有动量状态下的任何值的最佳估计一致。这鼓励使用这种简单的近似过程来计算在其他物理情况下有限动量的相关函数。
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英文标题：
《On the 2-point function of the O(N) model》
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作者：
Federico Benitez, 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：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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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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英文摘要：
  The self-energy of the critical 3-dimensional O(N) model is calculated. The analysis is performed in the context of the Non-Perturbative Renormalization Group, by exploiting an approximation which takes into account contributions of an infinite number of vertices. A very simple calculation yields the 2-point function in the whole range of momenta, from the UV Gaussian regime to the scaling one. Results are in good agreement with best estimates in the literature for any value of N in all momenta regimes. This encourages the use of this simple approximation procedure to calculate correlation functions at finite momenta in other physical situations.
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PDF链接：
https://arxiv.org/pdf/708.0238