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High-energy limit of zero-norm states (HZNS) in the old covariant first quantized (OCFQ) spectrum of the 26D open bosonic string, together with the assumption of a smooth behavior of string theory in this limit, are used to derive…

High Energy Physics - Theory · Physics 2009-11-11 Chuan-Tsung Chan , Pei-Ming Ho , Jen-Chi Lee , Shunsuke Teraguchi , Yi Yang

We derive stringy Ward identities from the decoupling of two types of zero-norm states in the old covariant first quantized (OCFQ) spectrum of open bosonic string. These Ward identities are valid to all energy and all loop orders in string…

High Energy Physics - Theory · Physics 2010-04-05 Chuan-Tsung Chan , Jen-Chi Lee

We study higher level Regge resonances of open superstrings, focusing on the universal part of the Neveu-Schwarz sector common to all D-brane realizations of the standard model. For Regge states with masses far above the fundamental string…

High Energy Physics - Theory · Physics 2011-12-13 Wan-Zhe Feng , Tomasz R. Taylor

Motivated by the desire to understand chaos in the $S$-matrix of string theory, we study tree level scattering amplitudes involving highly excited strings. While the amplitudes for scattering of light strings have been a hallmark of string…

High Energy Physics - Theory · Physics 2021-06-18 David J. Gross , Vladimir Rosenhaus

We uncover a relation between the scattering amplitudes of massive strings and the $\alpha'$ expansion of the massless string amplitude at tree level. More precisely, the n-point tree amplitude of n-1 massless and one massive state is…

High Energy Physics - Theory · Physics 2023-11-22 Sitender Pratap Kashyap , Carlos R. Mafra , Mritunjay Verma , Luis Alberto Ypanaqué

We calculate bosonic open string one-loop massive scattering amplitudes for some low-lying string states. By using the periodicity relations of Jacobi theta functions, we explicitly prove an infinite number of one-loop type I stringy Ward…

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

When high energy strings scatter at fixed angle, their amplitudes characteristically fall off exponentially with energy, ${\cal A} \sim \exp(-s \times const.)$. We show that in a compact space this suppression disappears for certain…

High Energy Physics - Theory · Physics 2009-10-28 Paul F. Mende

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

In previous works, ratios among four-point scattering amplitudes at the leading order in the high-energy limit were derived for the bosonic open string theory. The derivation was based on Ward identities derived from the decoupling of…

High Energy Physics - Theory · Physics 2010-04-05 Chuan-Tsung Chan , Pei-Ming Ho , Jen-Chi Lee , Shunsuke Teraguchi , Yi Yang

We review and extend high energy 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…

High Energy Physics - Theory · Physics 2016-06-29 Sheng-Hong Lai , Jen-Chi Lee , Yi Yang

I review the derivation of large-N QCD meson scattering amplitudes in the Regge regime, where the effective theory of long strings applies in d=4. A special attention is payed to the reparametrization path integral which plays a crucial…

High Energy Physics - Theory · Physics 2013-02-12 Yuri Makeenko

The tree-level type II superstring theory scattering amplitude of two dilatons and two dilatinos is explicitly calculated from the Kawai-Lewellen-Tye relations. The corresponding Regge behavior is obtained.

High Energy Physics - Theory · Physics 2025-10-01 Lucas Martin , Martin Parlanti , Martin Schvellinger

We study the emergence of partonic behavior in scattering processes at large Mandelstam's variable $s$ from string amplitudes in holographic backgrounds. We generalize the approach of Polchinski and Strassler (2001) in two ways. (i) We…

High Energy Physics - Theory · Physics 2022-05-17 Massimo Bianchi , Maurizio Firrotta , Jacob Sonnenschein , Dorin Weissman

We identify spacetime symmetry charges of the bosonic sector of 10D superstring theory from an infinite number of zero-norm states (ZNS) in the old covariant first quantized string spectrum. We give evidences to support this identification.…

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

Wilson lines capture important features of scattering amplitudes, for example soft effects relevant for infrared divergences, and the Regge limit. Beyond the leading power approximation, corrections to the eikonal picture have to be taken…

High Energy Physics - Theory · Physics 2018-05-23 Robin Brüser , Simon Caron-Huot , Johannes M. Henn

We briefly discuss the soft behavior of scattering amplitudes both in string and quantum field theory. In particular we show a general argument about the validity of soft theorems for open superstring amplitudes and list some of our recent…

High Energy Physics - Theory · Physics 2016-09-21 Andrea L. Guerrieri

We compute scattering amplitudes of the regularized bosonic Nambu-Goto string in the mean-field approximation, disregarding fluctuations of the Lagrange multiplier and an independent metric about their mean values. We use the previously…

High Energy Physics - Theory · Physics 2017-11-08 J. Ambjorn , Y. Makeenko

Motivated by recent progress in the high-energy description of gravitational scattering, we develop a systematic Regge-theory framework for $2\to2+n$ amplitudes describing the scattering of two massive particles with $n$ graviton emissions,…

High Energy Physics - Theory · Physics 2026-01-30 Francesco Alessio , Vittorio Del Duca , Riccardo Gonzo , Emanuele Rosi

We study high-energy scattering at fixed angle in the planar limit of non-Abelian gauge field theories from type IIB superstring theory scattering amplitudes. Firstly, we consider four-glueball scattering described in terms of the…

High Energy Physics - Theory · Physics 2024-12-12 Lucas Martin , Martin Parlanti , Martin Schvellinger

We study a class of tree-level ans\"atze for $2\to 2$ scalar and gauge boson amplitudes inspired by stringy UV completions. These amplitudes manifest Regge boundedness and are exponentially soft for fixed-angle high energy scattering, but…

High Energy Physics - Theory · Physics 2022-12-09 Brad Bachu , Aaron Hillman