Stringy scaling of n-point hard string scattering amplitudes
High Energy Physics - Theory
2023-04-10 v3 High Energy Physics - Lattice
High Energy Physics - Phenomenology
Mathematical Physics
math.MP
Abstract
Motivated by the recent calculation of the SL(K+3,C) symmetry of n-point Lauricella string scattering amplitudes (SSA) of open bosonic string theory, we calculate ratios of the solvable infinite linear relations of arbitrary n-point hard SSA (HSSA). We discover a general stringy scaling behavior for all n-point HSSA to all string loop orders. For the special case of n=4, the stringy scaling behavior reduces to the infinite linear relations and constant ratios among HSSA conjectured by Gross [8] and later corrected and calculated by the method of decoupling of zero-norm states [11].
Cite
@article{arxiv.2207.09236,
title = {Stringy scaling of n-point hard string scattering amplitudes},
author = {Sheng-Hong Lai and Jen-Chi Lee and Yi Yang},
journal= {arXiv preprint arXiv:2207.09236},
year = {2023}
}
Comments
12 pages, no figure. v2: 13 pages, improve calculation in section III without changing results. v3: 16 pages, typos corrected