High-Energy String Scattering Amplitudes and Signless Stirling Number Identity Academic Article uri icon

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.

published proceedings

  • SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS

altmetric score

  • 0.5

author list (cited authors)

  • Lee, J., Yan, C. H., & Yang, Y. i.

citation count

  • 7

complete list of authors

  • Lee, Jen-Chi||Yan, Catherine H||Yang, Yi

publication date

  • July 2012