High-Energy String Scattering Amplitudes and Signless Stirling Number Identity
Abstract
We give a complete proof of a set of identities (7) proposed recently from calculation of high-energy string scattering amplitudes. These identities allow one to extract ratios among high-energy string scattering amplitudes in the fixed angle regime from high-energy amplitudes in the Regge regime. The proof is based on a signless Stirling number identity in combinatorial theory. The results are valid for arbitrary real values rather than only for proved previously. The identities for non-integer real value were recently shown to be realized in high-energy compactified string scattering amplitudes [He S., Lee J.C., Yang Y., arXiv:1012.3158]. The parameter is related to the mass level of an excited string state and can take non-integer values for Kaluza-Klein modes.
Keywords
Cite
@article{arxiv.1012.5225,
title = {High-Energy String Scattering Amplitudes and Signless Stirling Number Identity},
author = {Jen-Chi Lee and Catherine H. Yan and Yi Yang},
journal= {arXiv preprint arXiv:1012.5225},
year = {2012}
}