Riemann Surfaces of Some Static Ispersion Models and Projective Spaces
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
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.
Cite
@article{arxiv.math-ph/0206039,
title = {Riemann Surfaces of Some Static Ispersion Models and Projective Spaces},
author = {V. A. Meshcheryakov and D. V. Meshcheryakov},
journal= {arXiv preprint arXiv:math-ph/0206039},
year = {2007}
}
Comments
17 pages