arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0811.4502hep-th
收藏

Kummer函数与高能弦散射

Kummer function and High energy String Scatterings

Sheng-Lan Ko, Jen-Chi Lee, Yi Yang

摘要:

基于新近发展的Stirling数恒等式的求和算法,我们发现,Gross区(GR)中高能弦散射振幅之间的比值可以从第二类Kummer函数中提取出来。该函数自然地出现在Regge区(RR)中的高能弦散射振幅的首序中。因此,弦论计算所提出的恒等式可以用一种完全不同但复杂的数学方法来严格证明。我们猜想并证明了在高能弦散射振幅的Regge展开中,RR中这些比值的存在对所有阶数都是持续的。

英文摘要:

Based on a summation algorithm for Stirling number identity developed recently, we discover that the ratios calculated previously among high energy string scattering amplitudes in the Gross regime (GR) can be extracted from the Kummer function of the second kind. This function naturally shows up in the leading order of high energy string scattering amplitudes in the Regge regime (RR). As a result, the identity suggested by string theory calculation can be rigorously proved by a totally different but sophisticated mathematical method. We conjecture and give evidences that the existence of these ratios in the RR persists to all orders in the Regge expansion of high energy string scattering amplitudes.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑