某些静态离散模型的Riemann曲面与射影空间
Riemann Surfaces of Some Static Ispersion Models and Projective Spaces
摘要：
色散关系静态极限中的S-矩阵具有有限阶N，并且是复平面中具有切割的能量亚模函数的矩阵。在弹性情况下，它简化为由交叉对称矩阵A连接的N个函数。S -矩阵从物理片到非物理片的解析延拓问题可视为一个非线性差分方程组。证明了在射影空间中可以有效地进行该系统的整体分析。所使用的方法的一些应用被认为是。
英文摘要：
The S-matrix in the static limit of a dispersion relation has a finite order N and is a matrix of meromorfic functions of energy in the complex plane with cuts. In the elastic case it reduces to N functions connected by the crossing symmetry matrix A. The problem of analytical continuation of S - matrix from the physical sheet to unphysical ones can be treated as a nonlinear system of difference equations. It is shown that a global analisis of this system can be carried out effectively in projective spaces. Some applications of the method used are considered.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
