標題: The string BCJ relations revisited and extended recurrence relations of nonrelativistic string scattering amplitudes
作者: Lai, Sheng-Hong
Lee, Jen-Chi
Yang, Yi
電子物理學系
Department of Electrophysics
關鍵字: Scattering Amplitudes;Bosonic Strings;Higher Spin Symmetry
公開日期: 31-May-2016
摘要: We review and extend high energy four point string BCJ relations in both the fixed angle and Regge regimes. We then give an explicit proof of four point string BCJ relations for all energy. This calculation provides an alternative proof of the one based on monodromy of integration in string amplitude calculation. In addition, we calculate both s - t and t - u channel nonrelativistic low energy string scattering amplitudes of three tachyons and one higher spin string state at arbitrary mass levels. We discover that the mass and spin dependent nonrelativistic string BCJ relations can be expressed in terms of Gauss hypergeometry functions. As an application, for each fixed mass level N, we derive extended recurrence relations among nonrelativistic low energy string scattering amplitudes of string states with different spins and different channels.
URI: http://dx.doi.org/10.1007/JHEP05(2016)186
http://hdl.handle.net/11536/133965
ISSN: 1029-8479
DOI: 10.1007/JHEP05(2016)186
期刊: JOURNAL OF HIGH ENERGY PHYSICS
Issue: 5
起始頁: 0
結束頁: 0
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