The Lauricella functions and exact string scattering amplitudes

Sheng Hong Lai, Jen-Chi Lee, Yi Yang*

*此作品的通信作者

研究成果: Article同行評審

13 引文 斯高帕斯(Scopus)

摘要

We discover that the 26D open bosonic string scattering amplitudes (SSA) of three tachyons and one arbitrary string state can be expressed in terms of the D-type Lauricella functions with associated S L (K+ 3 , ℂ) symmetry. As a result, SSA and symmetries or relations among SSA of different string states at various limits calculated previously can be rederived. These include the linear relations first conjectured by Gross [1-5] and later corrected and proved in [6-12] in the hard scattering limit, the recurrence relations in the Regge scattering limit with associated S L (5 ℂ) symmetry [24-26] and the extended recurrence relations in the nonrelativistic scattering limit with associated S L (4 ℂ) symmetry [29] discovered recently. Finally, as an application, we calculate a new recurrence relation of SSA which is valid for all energies.

原文English
文章編號62
期刊Journal of High Energy Physics
2016
發行號11
DOIs
出版狀態Published - 1 十一月 2016

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