随机场模型泛函重整化群中的不动点及其稳定性
Fixed points and their stability in the functional renormalization group of random field models
摘要：
我们考虑零温度不动点控制的$d$维随机场伊辛，更一般的$O(N)$，模型的临界行为。我们澄清的性质，这些不动点和它们的稳定性在该地区的$(N,d)$平面，其中一个通过从一个关键的行为满足$d\rightarrow d-2$降维到一个地方，它打破了由于出现足够强的nonanalyticities的功能依赖的累积量的重整化无序。我们揭示了一个复杂而不寻常的行为。
英文摘要：
We consider the zero-temperature fixed points controlling the critical behavior of the $d$-dimensional random-field Ising, and more generally $O(N)$, models. We clarify the nature of these fixed points and their stability in the region of the $(N,d)$ plane where one passes from a critical behavior satisfying the $d\rightarrow d-2$ dimensional reduction to one where it breaks down due to the appearance of strong enough nonanalyticities in the functional dependence of the cumulants of the renormalized disorder. We unveil an intricate and unusual behavior.
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