2017/07/28 by Sheng-Hong Lai, Jen-Chi Lee, Taejin Lee +1 · 8 citations
Mathematics · Physics and Astronomy · #Amplitude #Black Holes and Theoretical Physics #Classical mechanics #Kinematics #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Scattering #Scattering amplitude #Statistical physics #String (physics) #Tachyon #hep-th
paper · pdf · doi:10.1007/jhep09(2017)130
published in Journal of High Energy Physics 2017(9) (Springer Nature) · 19 pages. v2: Fig.1 added
openalex created_date 2017/07/14 · arxiv created 2017/07/28 · openalex publication_date 2017/09/01 · arxiv updated 2017/10/25 · openalex updated_date 2026/08/05
We show that there exist infinite number of recurrence relations valid for all energies among the open bosonic string scattering amplitudes (SSA) of three tachyons and one arbitrary string state, or the Lauricella SSA. Moreover, these infinite number of recurrence relations can be used to solve all the Lauricella SSA and express them in terms of one single four tachyon amplitude. These results extend the solvability of SSA at the high energy, fixed angle scattering limit and those at the Regge scattering limit discovered previously to all kinematic regimes.