Title: High-Energy String Scattering Amplitudes and Signless Stirling Number Identity
Authors: Lee, Jen-Chi
Yan, Catherine H.
Yang, Yi
Department of Electrophysics
Keywords: string scattering amplitudes;stirling number identity
Issue Date: 2012
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 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."
URI: http://hdl.handle.net/11536/16680
http://dx.doi.org/10.4141/CJSS2012-059 45
ISSN: 1815-0659
DOI: 10.4141/CJSS2012-059 45
Volume: 8
Appears in Collections:Articles

Files in This Item:

  1. 000306612200001.pdf