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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

It has recently been argued that the singularity of the Milne orbifold can be resolved in higher spin theories. In string theory scattering amplitudes, however, the Milne singularity gives rise to ultraviolet divergences that signal…

High Energy Physics - Theory · Physics 2015-06-19 Ben Craps , Chethan Krishnan , Ayush Saurabh

We obtain the complete physical spectrum of the $W_N$ string, for arbitrary $N$. The $W_N$ constraints freeze $N-2$ coordinates, while the remaining coordinates appear in the currents only {\it via} their energy-momentum tensor. The…

High Energy Physics - Theory · Physics 2009-10-07 H. Lu , C. N. Pope , S. Schrans , K. W. Xu

Misner space, also known as the Lorentzian orbifold $R^{1,1}/boost$, is the simplest tree-level solution of string theory with a cosmological singularity. We compute tree-level scattering amplitudes involving twisted states, using operator…

High Energy Physics - Theory · Physics 2014-11-18 M. Berkooz , B. Durin , B. Pioline , D. Reichmann

We calculate high-energy massive string scattering amplitudes of compactified open string. We derive infinite linear relations, or stringy symmetries, among soft high-energy string scattering amplitudes of different string states in the…

High Energy Physics - Theory · Physics 2010-12-15 Jen-Chi Lee , Tomohisa Takimi , Yi Yang

We report on new results in Witten's cubic string field theory for the off-shell factor in the 4-tachyon amplitude that was not fully obtained explicitly before. This is achieved by completing the derivation of the Veneziano formula in the…

High Energy Physics - Theory · Physics 2009-11-10 Itzhak Bars , I. Y. Park

Following the Gauge Theory Bootstrap method proposed in our previous work [arXiv:2309.12402], we compute pion scattering phase shifts for all partial waves with angular momentum $\ell\le 3$ up to 2 GeV and calculate the low energy $\chi$PT…

High Energy Physics - Theory · Physics 2025-08-11 Yifei He , Martin Kruczenski

We propose using the general structure and properties of conformal field theory amplitudes, in particular those defined on surfaces with boundaries, to explore effective string theory amplitudes for some hadronic processes. Two examples are…

High Energy Physics - Theory · Physics 2009-10-22 David C. Lewellen

We use the amplitude soft bootstrap method to explore the space of effective field theories (EFT) of massless vectors and scalars. It is known that demanding vanishing soft limits fixes uniquely a special class of EFTs: non-linear sigma…

High Energy Physics - Theory · Physics 2021-08-04 Karol Kampf , Jiri Novotny , Filip Preucil , Jaroslav Trnka

At the tree level, the scattering processes involving open and closed strings are described by a disk world-sheet with vertex operator insertions at the boundary and in the bulk. Such amplitudes can be decomposed as certain linear…

High Energy Physics - Theory · Physics 2016-02-17 Stephan Stieberger , Tomasz R. Taylor

We present a derivation of the first curvature correction to the AdS Veneziano amplitude for arbitrary Kaluza-Klein (KK) modes, using a bootstrap approach based on the world-sheet representation and AdS$\times$S formalism. Our results…

High Energy Physics - Theory · Physics 2026-02-24 Bo Wang

We derive a universal bound on the integrated total scattering cross-section at \emph{finite} energies, expressed in terms of a single low-energy coefficient constrained by the non-perturbative S-matrix Bootstrap. At high energies, the…

High Energy Physics - Theory · Physics 2025-06-06 Miguel Correia , Alessandro Georgoudis , Andrea L. Guerrieri

We study the high-energy limit of $2 \to 2$ one-loop string amplitudes at fixed momentum transfer. For the closed string, the high-energy behaviour of the amplitudes can be determined from Regge theory just like in field theory, as was…

High Energy Physics - Theory · Physics 2025-08-27 Pinaki Banerjee , Lorenz Eberhardt , Sebastian Mizera

In arXiv:1907.07688 Balthazar, Rodriguez and Yin (BRY) computed the one instanton contribution to the two point scattering amplitude in two dimensional string theory to first subleading order in the string coupling. Their analysis left…

High Energy Physics - Theory · Physics 2023-02-24 Ashoke Sen

String theory and supersymmetry are theoretical ideas that go beyond the standard model of particle physics and show promise for unifying all forces. After a brief introduction to supersymmetry, we discuss the prospects for its experimental…

High Energy Physics - Theory · Physics 2008-11-26 John H. Schwarz , Nathan Seiberg

We propose a number system covariance principle between $p$-adic and Archimedean frameworks. We use it to derive several closed-form expressions for the five-point open string tachyon scattering amplitude.

High Energy Physics - Theory · Physics 2021-11-05 Bogdan Stoica

The main objective of this work is to isolate Effective Field Theory scattering amplitudes in the space of non-perturbative two-to-two amplitudes, using the S-matrix Bootstrap. We do so by introducing the notion of Effective Field Theory…

High Energy Physics - Theory · Physics 2023-01-18 Joan Elias Miro , Andrea Guerrieri , Mehmet Asim Gumus

We consider meson scattering in the framework of the lattice strong coupling expansion. In particular we derive an expression for the 4-point function of meson operators in the planar limit of scalar Chromodynamics. Interestingly, in the…

High Energy Physics - Lattice · Physics 2018-03-14 Adi Armoni , Edwin Ireson , Davide Vadacchino

We put forward ideas to a novel string field theory based on making some "objects" that essentially describe "liberated" left- and right- mover fields $X^{\mu}_{L}(\tau + \sigma)$ and $X^{\mu}_{R}(\tau - \sigma)$ on the string. The main…

High Energy Physics - Theory · Physics 2013-05-29 Holger B. Nielsen , Masao Ninomiya

We study scattering on the Coulomb branch of planar ${\mathcal{N}}=4$ SYM at finite 't Hooft coupling. This setup defines a family of classical open-string S-matrices that smoothly interpolates between perturbative parton scattering at weak…

High Energy Physics - Theory · Physics 2025-10-24 Luis F. Alday , Elisabetta Armanini , Kelian Häring , Alexander Zhiboedov