Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-02-05
Physics
High Energy Physics
High Energy Physics - Theory
10 page paper in .ps format, includes three figures embedded in the text
Scientific paper
In this paper we use the analyticity properties of the scattering amplitude in the context of the conformal mapping techniques. The Schwarz-Christoffel and Riemann-Schwarz functions are used to map the upper half -plane onto a triangle. We use the known asymptotic and threshold behaviors of the scattering amplitude to establish a connection between the values of the Regge trajectory functions and the angles of the triangle. This geometrical interpretation allows a link between values of the Regge trajectory functions and the generators of the invariance group of Moebius transformations associated with the underlying automorphic function. The formalism provides useful new relations between analyticity, geometry, Regge trajectory functions, Veneziano model, groups of Moebius transformations and automorphic functions. It is hoped that they will provide avenues for further work.
No associations
LandOfFree
New relations between analyticity, Regge trajectories, Veneziano amplitude, and Moebius transformations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with New relations between analyticity, Regge trajectories, Veneziano amplitude, and Moebius transformations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and New relations between analyticity, Regge trajectories, Veneziano amplitude, and Moebius transformations will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-104806