论文标题
在二维ISING模型中的串联自旋旋转相关函数的串联扩展中的一般N系数上
On General-n Coefficients in Series Expansions for Row Spin-Spin Correlation Functions in the Two-Dimensional Ising Model
论文作者
论文摘要
我们考虑沿行旋转的自旋旋转相关功能，在二维ISING模型中，$ r_n = \langleσ_{0,0,0}σ_{n，0} \ rangle $。我们讨论了一种计算$ r_n $的高温和低温系列扩展系数系数的一般表达式的方法，并将其应用于几个高阶系数。除了它们的内在兴趣外，这些结果还可以在继续寻求普通微分方程的过程中很有用，该方程将确定$ r_n $，类似于已知的普通微分方程，该方程类似于其解决方案的解决方案确定对角线相关函数$ \langleσ_{0,0,0,0,0,0}σ_{n，n，n} \ rangle $。
We consider spin-spin correlation functions for spins along a row, $R_n = \langle σ_{0,0}σ_{n,0}\rangle$, in the two-dimensional Ising model. We discuss a method for calculating general-$n$ expressions for coefficients in high-temperature and low-temperature series expansions of $R_n$ and apply it to obtain such expressions for several higher-order coefficients. In addition to their intrinsic interest, these results could be useful in the continuing quest for an ordinary differential equation whose solution would determine $R_n$, analogous to the known ordinary differential equation whose solution determines the diagonal correlation function $\langle σ_{0,0}σ_{n,n}\rangle$ in this model.
