随机场的Schwartz-Soffer不等式及更多不等式
The Schwartz-Soffer and more inequalities for random fields
摘要：
严格证明了随机场自旋系统的一系列新的相关不等式。第一个对应于著名的Schwartz-Soffer不等式。这些都有望排除不正确的结果计算有效的理论和数值研究。以随机场系统为例，用这些不等式检验了复制法的大$N$展开式。证明了多点关联函数在临界点处的几个临界指数满足所得到的不等式。
英文摘要：
A new series of correlation inequalities for random field spin systems is proven rigorously. First one corresponds to the well-known Schwartz-Soffer inequality. These are expected to rule out incorrect results calculated in effective theories and numerical studies. The large $N$ expansion with the replica method for random field systems as an example is checked by these inequalities. It is shown that several critical exponents of multiple-point correlation functions at critical point satisfy obtained inequalities.
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