格点上的Delta展开与伸缩标度区域
Delta Expansion on the Lattice and Dilated Scaling Region
摘要：
对d=2的非线性西格玛模型在N=无穷大和N=1时的格点上进行了一种新的δ展开，它对应于伊辛模型.我们引入参数delta，用于将模型的标度区域扩大，并将晶格间距a替换为（1-delta）^{1/2}a。然后，我们证明了在δ中的展开允许从在大的晶格间距a处的信息在N的两个极限处近似模型的标度行为。
英文摘要：
A new kind of delta expansion is applied on the lattice to the d=2 non-linear sigma model at N=infinity and N=1 which corresponds to the Ising model. We introduce the parameter delta for the dilation of the scaling region of the model with the replacement of the lattice spacing a to (1-delta)^{1/2}a. Then, we demonstrate that the expansion in delta admits an approximation of the scaling behavior of the model at both limits of N from the information at a large lattice spacing a.
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