Nonperturbative functional renormalization group for random-field models: the way out of dimensional reduction.
Nonperturbative functional renormalization group for random-field models: the way out of dimensional reduction.
复制标题
随机场模型的非微扰函数重整化群：降维的出路。
DOI：
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发表时间：
2004
影响因子：
8.6
通讯作者：
M. Tissier
中科院分区：
文献类型：
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作者：
G. Tarjus;M. Tissier
我们开发了一个非微扰泛函重整化群方法的随机场O（N）模型，使我们能够调查在任何维度和任何值的N，包括伊辛的情况下的顺序过渡。我们表明，降维和标准微扰理论的失败是由于非解析性质的零温度不动点控制的临界行为，非解析性，这是与存在许多亚稳态。我们发现，这种非解析性导致临界指数与降维预测不同，仅在临界维数dc（N）<6以下，其中dc（N=1）>3。
We develop a nonperturbative functional renormalization group approach for the random-field O(N) model that allows us to investigate the ordering transition in any dimension and for any value of N including the Ising case. We show that the failure of dimensional reduction and standard perturbation theory is due to the nonanalytic nature of the zero-temperature fixed point controlling the critical behavior, nonanalyticity, which is associated with the existence of many metastable states. We find that this nonanalyticity leads to critical exponents differing from the dimensional reduction prediction only below a critical dimension dc(N)<6, with dc(N=1)>3.