Browsing by Author "Yan, Catherine H."

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High-Energy String Scattering Amplitudes and Signless Stirling Number Identity
(2012)
Lee, Jen-Chi
;
Yan, Catherine H.
;
Yang, Yi
;
電子物理學系
;
Department of Electrophysics
"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 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 scattering amplitudes [He S., Lee J.C., Yang Y., arXiv:1012.3158]. The parameter L is related to the mass level of an excited string state and can take non-integer values for Kaluza-Klein modes."