Patterns of High energy Massive String Scatterings in the Regge regime

2008/12/31 by Sheng-Lan Ko, Jen-Chi Lee, Yi Yang · 1 citation
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1088/1126-6708/2009/06/028

published as JHEP 0906:028,2009 · 25 pages,1 figure, typos corrected, refs added

arxiv created 2009/06/29 · arxiv updated 2009/12/01

Abstract

We calculate high energy massive string scattering amplitudes of open bosonic string in the Regge regime (RR). We found that the number of high energy amplitudes for each fixed mass level in the RR is much more numerous than that of Gross regime (GR) calculated previously. Moreover, we discover that the leading order amplitudes in the RR can be expressed in terms of the Kummer function of the second kind. In particular, based on a summation algorithm for Stirling number identity, we discover that the ratios calculated previously among scattering amplitudes in the GR can be extracted from this Kummer function in the RR. We conjecture and give evidences that the existence of these GR ratios in the RR persists to subleading orders in the Regge expansion of all string scattering amplitudes. Finally, we demonstrate the universal power-law behavior for all massive string scattering amplitudes in the RR.

Cited by

• Exponential Fall-Off Behavior of Regge Scatterings in Compactified Open String Theory

Related

• Kummer function and High energy String Scatterings
• Review on High energy String Scattering Amplitudes and Symmetries of String Theory
• Overview on High energy String Scattering Amplitudes and Symmetries of String Theory
• Power-law Behavior of Strings Scattered from Domain-wall at High Energies and Breakdown of their Linear Relations
• String Scattering Amplitudes in High Energy Limits