標題: The Lauricella functions and exactstring scattering amplitudes
作者: Lai, Sheng-Hong
Lee, Jen-Chi
Yang, Yi
電子物理學系
Department of Electrophysics
關鍵字: Bosonic Strings;Higher Spin Symmetry
公開日期: 10-Nov-2016
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 SL(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 SL(5,C) symmetry [24-26] and the extended recurrence relations in the nonrelativistic scattering limit with associated SL(4,C) symmetry [29] discovered recently. Finally, as an application, we calculate a new recurrence relation of SSA which is valid for all energies.
URI: http://dx.doi.org/10.1007/JHEP11(2016)062
http://hdl.handle.net/11536/132817
ISSN: 1029-8479
DOI: 10.1007/JHEP11(2016)062
期刊: JOURNAL OF HIGH ENERGY PHYSICS
Issue: 11
起始頁: 0
結束頁: 0
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