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By using on-shell recursion relation of string scattering amplitudes (SSA), we show that all n-point SSA of the open bosonic string theory can be expressed in terms of the Lauricella functions. This result extends the previous exact…

High Energy Physics - Theory · Physics 2022-06-28 Sheng-Hong Lai , Jen-Chi Lee , Yi Yang

We discover a general stringy scaling behavior for 1. All n-point hard string scattering amplitudes (HSSA) and 2. A class of n-point Regge string scattering amplitudes (RSSA) to all string loop orders. The number of independent kinematics…

High Energy Physics - Theory · Physics 2024-08-26 Sheng-Hong Lai , Jen-Chi Lee , Yi Yang

In this review we propose a new perspective to demonstrate Gross conjecture on high energy symmetry of string theory. We review the construction of the exact string scattering amplitudes (SSA) of three tachyons and one arbitrary string…

High Energy Physics - Theory · Physics 2021-03-12 Sheng-Hong Lai , Jen-Chi Lee , Yi Yang

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…

High Energy Physics - Theory · Physics 2016-03-02 Sheng-Hong Lai , Jen-Chi Lee , Yi Yang

We propose a systematic approximation scheme to calculate general $n$-point $HSSA$ of open bosonic string theory. This stringy scaling loop expansion contains finite number of vacuum diagram terms at each loop order of scattering energy due…

High Energy Physics - Theory · Physics 2025-10-22 Sheng-Hong Lai , Jen-Chi Lee , Yi Yang

We discover that the exact string scattering amplitudes (SSA) of three tachyons and one arbitrary string state, or the Lauricella SSA (LSSA), in the 26D open bosonic string theory can be expressed in terms of the basis functions in the…

High Energy Physics - Theory · Physics 2019-03-27 Sheng-Hong Lai , Jen-Chi Lee , Yi Yang

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…

High Energy Physics - Theory · Physics 2016-12-21 Sheng-Hong Lai , Jen-Chi Lee , Yi Yang

We overview symmetries of string scattering amplitudes in the high energy limits of both the fixed angle or Gross regime (GR) and the fixed momentum transfer or Regge regime (RR). We calculated high energy string scattering amplitudes (SSA)…

High Energy Physics - Theory · Physics 2019-08-13 Jen-Chi Lee , Yi Yang

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…

High Energy Physics - Theory · Physics 2017-10-25 Sheng-Hong Lai , Jen-Chi Lee , Taejin Lee , Yi Yang

We calculate explicitly residues of all n-point Koba-Nielsen (KN) amplitudes by using on-shell recursion relation of string scattering amplitudes (SSA). In addition, we show that the residues of all SSA including the KN amplitudes can be…

High Energy Physics - Theory · Physics 2021-11-17 Sheng-Hong Lai , Jen-Chi Lee , Yi Yang

We calculate n-point hard string scattering amplitudes (HSSA) with n-2 tachyons and 2 tensor states at arbitrary mass levels. We discover the stringy scaling behavior of these HSSA. It is found that for HSSA with more than 2 transverse…

High Energy Physics - Theory · Physics 2025-03-05 Sheng-Hong Lai , Jen-Chi Lee , Yi Yang

We discover new hard string scattering amplitudes (HSSA) with polarizations orthogonal to the scattering plane in the NS sector of 10D open superstring theory. The corresponding HSSA in the bosonic string theory are of subleading order in…

High Energy Physics - Theory · Physics 2021-04-07 Sheng-Hong Lai , Jen-Chi Lee , Yi Yang

Following the recent discovery of the Lauricella string scattering amplitudes (LSSA) and their associated exact SL(K+3,C) symmetry, we give a brief comment on Gross conjecture regarding "High energy symmetry of string theory".

High Energy Physics - Theory · Physics 2021-05-24 Sheng-Hong Lai , Jen-Chi Lee , Yi Yang

We derive stringy symmetries with conserved charges of arbitrarily high spins from the decoupling of two types of zero-norm states in the old covariant first quantized (OCFQ) spectrum of open bosonic string. These symmetries are valid to…

High Energy Physics - Theory · Physics 2009-11-10 Chuan-Tsung Chan , Jen-Chi Lee

The high-energy limit of stringy symmetries, derived from the decoupling of two types of zero-norm states in the old covariant first quantized (OCFQ) spectrum of open bosonic string, are used to reproduce Gross's linear relations among…

High Energy Physics - Theory · Physics 2007-05-23 Jen-Chi Lee

We discover a stringy scaling behavior for a class of n-point Regge string scattering amplitudes (RSSA). The number of independent kinematics variables is found to be reduced by dim M.

High Energy Physics - Theory · Physics 2023-04-03 Sheng-Hong Lai , Jen-Chi Lee , Yi Yang

We study bosonic closed string scattering amplitudes in the high-energy limit. We find that the methods of decoupling of high-energy zero-norm states and the high-energy Virasoro constraints, which were adopted in the previous works to…

High Energy Physics - Theory · Physics 2008-11-26 Chuan-Tsung Chan , Jen-Chi Lee , Yi Yang

We use three different methods to calculate the proportionality constants among high-energy scattering amplitudes of different string states with polarizations on the scattering plane. These are the decoupling of high-energy zero-norm…

High Energy Physics - Theory · Physics 2008-11-26 Chuan-Tsung Chan , Jen-Chi Lee , Yi Yang

We study scatterings of bosonic massive closed string states at arbitrary mass levels from D-brane. We discover that all the scattering amplitudes can be expressed in terms of the generalized hypergeometric function with special arguments,…

High Energy Physics - Theory · Physics 2008-11-26 Chuan-Tsung Chan , Jen-Chi Lee , Yi Yang

We review high energy symmetries of string theory at both the fixed angle or Gross regime (GR) and the fixed momentum transfer or Regge regime (RR). We calculated in details high energy string scattering amplitudes at arbitrary mass levels…

High Energy Physics - Theory · Physics 2016-12-23 Jen-Chi Lee , Yi Yang
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