Veneziano Amplitude for Winding Strings

TL;DR

This paper calculates the Veneziano amplitude for winding string states, revealing that at large radius, these strings behave as solitons with trivial scattering and no change in winding numbers.

Contribution

It provides the first explicit computation of scattering amplitudes for arbitrary winding string states and analyzes their behavior in the large radius limit.

Findings

Winding strings scatter trivially at large radius

Winding numbers remain unchanged after scattering

Winding states behave as solitons in the large radius limit

Abstract

String configurations with nonzero winding number describe soliton string states. We compute the Veneziano amplitude for the scattering of arbitrary winding states and show that in the large radius limit the strings always scatter trivially and with no change in the individual winding numbers of the strings. In this limit, then, these states scatter as true solitons.