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In this paper, we present a systematic derivation aimed at obtaining general expressions for on-shell recursion relations for tree-level open string amplitudes. Our approach involves applying the BCFW shift to an open string amplitude…

High Energy Physics - Theory · Physics 2024-04-02 Pongwit Srisangyingcharoen

We calculate some tree level scattering amplitudes for a generalization of the protostring, which is a novel string model implied by the simplest string bit models. These bit models produce a lightcone worldsheet which supports $s$ integer…

High Energy Physics - Theory · Physics 2016-11-23 Charles B. Thorn

We illustrate the use of recursion relations in the computation of certain one-loop helicity amplitudes containing an arbitrary number of gauge bosons. After a brief review of the recursion relations themselves, we discuss the resolution of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Gregory Mahlon

High-energy limits of fixed-angle tree-level stringy scattering amplitudes in the light-like linear dilaton background are calculated. Treating the time component of the gradient of light-like dilaton field (V_0) as a moduli parameter, we…

High Energy Physics - Theory · Physics 2009-11-23 Chuan-Tsung Chan , Wei-Ming Chen

We consider scattering by short range perturbations of the semi-classical Laplacian. We prove that when a polynomial bound on the resolvent holds, the scattering amplitude is a semi-classical Fourier integral operator associated to the…

Analysis of PDEs · Mathematics 2007-05-23 Ivana Alexandrova

Four-particle tree-level scattering amplitudes in string theory are magically consistent with unitarity, reflected in the non-trivial fact that beneath the critical dimension, the residues of the amplitudes on massive poles can be expanded…

High Energy Physics - Theory · Physics 2022-03-14 Nima Arkani-Hamed , Lorenz Eberhardt , Yu-tin Huang , Sebastian Mizera

In a previous paper we showed that bracket relations uniquely fix the tree-level bosonic string $S$-matrix for $N\leq 26$ particle scattering. In this note we extend the proof to $N$-particle scattering for all $N$.

High Energy Physics - Theory · Physics 2008-02-03 Gregory Moore

In this work we report on recent progress in the calculation of open superstring scattering amplitudes, at tree level, with more than four external massless states. We also report on the corresponding terms in the low energy effective…

High Energy Physics - Theory · Physics 2008-11-26 L. A. Barreiro , R. Medina

We study the exact solution of the two-body problem on a tight-binding one-dimensional lattice, with pairwise interaction potentials which have an arbitrary but finite range. We show how to obtain the full spectrum, the bound and scattering…

Other Condensed Matter · Physics 2015-05-18 Manuel Valiente

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

We calculate one-loop 2-point tachyon amplitudes in unoriented open-closed string field theory, and determine all the coupling constants of the interaction vertices in the theory. It is shown that the planar, nonplanar and nonorientable…

High Energy Physics - Theory · Physics 2009-10-31 Tsuguhiko Asakawa , Taichiro Kugo , Tomohiko Takahashi

We analyze the analytic continuation of the formally divergent one-loop amplitude for scattering of the graviton multiplet in the Type II Superstring. In particular we obtain explicit double and single dispersion relations, formulas for all…

High Energy Physics - Theory · Physics 2011-04-20 Eric D'Hoker , D. H. Phong

String theory provides a compact integral expression for the tree-level scattering amplitude of an arbitrary number of light strings. We focus on amplitudes involving a few tachyons and many photons, with a special choice of polarizations…

High Energy Physics - Theory · Physics 2022-07-21 Vladimir Rosenhaus

The amplitudes for the tree-level scattering of the open string tachyons, generalised to the field of p-adic numbers, define the p-adic string theory. There is empirical evidence of its relation to the ordinary string theory in the p_to_1…

High Energy Physics - Theory · Physics 2009-11-11 Debashis Ghoshal

We derive a general expression for on-shell recursion relations of closed string tree-level amplitudes. Starting with the string amplitudes written in the form of the Koba-Nielsen integral, we apply the BCFW shift to deform them. In…

High Energy Physics - Theory · Physics 2025-03-11 Pongwit Srisangyingcharoen , Aphiwat Yuenyong

We construct rolling tachyon solutions of open and boundary string field theory (OSFT and BSFT, respectively), in the bosonic and supersymmetric (susy) case. The wildly oscillating solution of susy OSFT is recovered, together with a family…

High Energy Physics - Theory · Physics 2009-04-03 Gianluca Calcagni , Giuseppe Nardelli

The group theoretic method is extended to include fields with a background charge. This formalism is used to compute the tree level scattering for $W_3$ strings. The scattering amplitudes involve Ising model correlation functions. A…

High Energy Physics - Theory · Physics 2009-10-22 M. D. Freeman , P. West

We use the recently developed massive spinor-helicity formalism [1] of Arkani- Hamed et al. to propose a new class of recursion relations for tree-level amplitudes in gauge theories. These relations are based on a combined complex…

High Energy Physics - Theory · Physics 2021-05-13 Sourav Ballav , Arkajyoti Manna

The multiloop amplitudes for the bosonic string in presence of a constant B-field are built by using the basic commutation relations for the open string zero modes and oscillators. The open string Green function on the annulus is obtained…

High Energy Physics - Theory · Physics 2011-07-19 Chong-Sun Chu , Rodolfo Russo , Stefano Sciuto

We continue our study of open string perturbation theory on the lightcone worldsheet lattice, which is an $M\times N$ rectangular grid. Here $M$ is the number of $P^+$ units and $N$ is the number of $ix^+$ units. We extend our previous…

High Energy Physics - Theory · Physics 2013-08-09 Georgios Papathanasiou , Charles B. Thorn