论文标题
关于大量旋转旋转器的异词性变形
On Isomonodromic Deformation of Massive Ising Spinors
论文作者
论文摘要
在此简短的说明中，我们为$ 2 $ - 点全平面液体相关函数的公式提供了一个独立的派生，就第三个Painlevé超凡剂而言，在巨大的缩放限制下进行了自旋相关函数。该公式最初衍生在吴，麦考伊，特雷西和Barouch的著名作品中，随后由Sato，Miwa和Jimbo根据异构粒细胞变形的理论进行了重新重新制定。鉴于离散分析中的最新发展，尤其是在等体晶格上具有旋转相关功能的收敛证明，我们在同一框架中简明而严格地说明了连续理论，从而产生了这个标志性的结果。
In this short note, we give a self-contained derivation of the formula for the $2$-point full-plane Ising spin correlation function under massive scaling limit in terms of a third Painlevé transcendant. This formula, first derived in a celebrated work of Wu, McCoy, Tracy, and Barouch, was subsequently reformulated in terms of the theory of isomonodromic deformation by Sato, Miwa, and Jimbo. In view of recent developments in the discrete analysis which have enabled, in particular, a convergence proof of spin correlation functions on isoradial lattice, we give a concise and rigorous account of the continuous theory in the same framework yielding this iconic result.
