High-energy String Scattering Amplitudes and Signless Stirling Number Identity

Details High-energy String Scattering Amplitudes and Signless Stirling Number Identity High-energy String Scattering Amplitudes and Signless Stirling Number Identity

2010-12-23

arxiv.org/abs/1012.5225v2

Physics

High Energy Physics

High Energy Physics - Theory

10 pages. v2:add Eq.(15),typos corrected

Scientific paper

We give a complete proof of a set of identities Eq. proposed recently from calculation of high-energy string scatterings. These identities allow one to extract ratios among high-energy string sacttering 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 L rather than only for L=0,1 proved previously. The identities for non-integer real value L were recently shown to be realized in high-energy compactified string scatterings.

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