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摘要翻译：
本文用非微扰泛函重整化群方法研究了D维随机场O(N)模型的临界行为和相图。我们证明了由传统微扰理论得到的降维预言在一个临界维数$D_{DR}(N)$下崩溃，并给出了在整个$(N，d)$平面上的临界性、铁磁有序性和准长程有序性的描述。在$d_{DR}(N)$以下，我们的形式既提供了由具有非解析无量纲有效作用的零温度不动点控制的系统的典型行为，又提供了在非零温度下由热边界层中非解析性质的四舍五入描述的稀有低能激发（“液滴”）的物理。
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英文标题：
《Non-Perturbative Functional Renormalization Group for Random Field
Models and Related Disordered Systems. II: Results for the Random Field O(N)
Model》
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作者：
Matthieu Tissier and Gilles Tarjus
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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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英文摘要：
We study the critical behavior and phase diagram of the $d$-dimensional random field O(N) model by means of the nonperturbative functional renormalization group approach presented in the preceding paper. We show that the dimensional reduction predictions, obtained from conventional perturbation theory, break down below a critical dimension $d_{DR}(N)$ and we provide a description of criticality, ferromagnetic ordering and quasi-long range order in the whole $(N,d)$ plane. Below $d_{DR}(N)$, our formalism gives access to both the typical behavior of the system, controlled by zero-temperature fixed points with a nonanalytic dimensionless effective action, and to the physics of rare low-energy excitations ("droplets"), described at nonzero temperature by the rounding of the nonanalyticity in a thermal boundary layer.
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PDF链接：
https://arxiv.org/pdf/712.3556
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