Speaker
Prof.
Jen-Chi Lee
(National Chiao-Tung University)
Description
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
identities developed recently, 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.
Primary author
Prof.
Jen-Chi Lee
(National Chiao-Tung University)