论文标题
schwartz-soffer和更多的随机领域不平等现象
The Schwartz-Soffer and more inequalities for random fields
论文作者
论文摘要
严格证明了一系列针对随机场旋转系统的新系列相关性不平等。第一个对应于众所周知的Schwartz-Soffer不平等。这些预计将排除在有效理论和数值研究中计算出的错误结果。这些不平等现象以随机字段系统为例的大型$ n $扩展作为示例。结果表明，在临界点满足的多点相关函数的几个关键指数获得了不平等。
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.
