Riemann Surfaces of Some Static Ispersion Models and Projective Spaces

Details Riemann Surfaces of Some Static Ispersion Models and Projective Spaces Riemann Surfaces of Some Static Ispersion Models and Projective Spaces

2002-06-23

arxiv.org/abs/math-ph/0206039v1

Theor. Math.Phys., 2002, 130(3), pp.351-360

Physics

Mathematical Physics

17 pages

Scientific paper

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.

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