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Yangian symmetry of amplitudes in $\mathcal{N}=4$ super Yang-Mills theory is formulated in terms of eigenvalue relations for monodromy matrix operators. The Quantum Inverse Scattering Method provides the appropriate tools to treat the…

High Energy Physics - Theory · Physics 2015-06-17 D. Chicherin , S. Derkachov , R. Kirschner

Recently, by using the known structure of one-loop scattering amplitudes for gluons in Yang-Mills theory, a recursion relation for tree-level scattering amplitudes has been deduced. Here, we give a short and direct proof of this recursion…

High Energy Physics - Theory · Physics 2010-04-07 Ruth Britto , Freddy Cachazo , Bo Feng , Edward Witten

Using the classical recursion relations we compute scattering amplitudes in a spontaneously broken Gauge-Higgs theory into final states involving high multiplicities of massive vector bosons and Higgs bosons. These amplitudes are computed…

High Energy Physics - Phenomenology · Physics 2015-06-23 Valentin V. Khoze

We study mesons in N=4 super Yang-Mills theory with fundamental flavors added at large 't Hooft coupling using the gauge/gravity correspondence. High-spin mesons are well described by using semiclassical string configurations. We determine…

High Energy Physics - Theory · Physics 2008-11-26 K. D. Jensen , A. Karch , J. Price

We explore boundary scattering in the sine-Gordon model with a non-integrable family of Robin boundary conditions. The soliton content of the field after collision is analysed using a numerical implementation of the direct scattering…

High Energy Physics - Theory · Physics 2016-04-11 Robert Arthur , Patrick Dorey , Robert Parini

Results for four-, five-, and six-parton tree amplitudes for massive quark-antiquark scattering with gluons are calculated using the recursion relations of Britto, Cachazo, Feng, and Witten. The required diagrams are generated using shifts…

High Energy Physics - Phenomenology · Physics 2008-11-26 Anthony Hall

We consider scattering processes involving N gluonic massless states of open superstrings with certain Regge slope alpha'. At the semi-classical level, the string world-sheet sweeps a disk and N gluons are created or annihilated at the…

High Energy Physics - Theory · Physics 2009-11-11 S. Stieberger , T. R. Taylor

We study the bulk and boundary scattering of the sl(N) twisted Yangian spin chain via the solution of the Bethe ansatz equations in the thermodynamic limit. Explicit expressions for the scattering amplitudes are obtained and the…

High Energy Physics - Theory · Physics 2016-02-17 Jean Avan , Anastasia Doikou , Nikos Karaiskos

Based on recent results obtained by the authors on the inverse scattering method of the vector nonlinear Schr\"odinger equation with integrable boundary conditions, we discuss the factorization of the interactions of N-soliton solutions on…

Mathematical Physics · Physics 2014-05-09 V. Caudrelier , Q. C. Zhang

The planar dilatation operator of N=4 supersymmetric Yang-Mills is the hamiltonian of an integrable spin chain whose length is allowed to fluctuate. We will identify the dynamics of length fluctuations of planar N=4 Yang-Mills with the…

High Energy Physics - Theory · Physics 2009-11-11 Cesar Gomez , Rafael Hernandez

At high center-of-mass energies scattering amplitudes enjoy a hidden integrability. An important example in QCD is Odderon exchange, a composite state of three reggeized gluons, with can be understood as a closed spin chain with periodic…

High Energy Physics - Phenomenology · Physics 2018-10-17 Grigorios Chachamis , Agustín Sabio Vera

We provide a first-principles non-perturbative determination of the mass of the lightest gluino-gluon bound state (gluino-glue) in large-$N$ $\mathcal{N}=1$ Supersymmetric Yang--Mills theory by means of numerical Monte Carlo simulations of…

High Energy Physics - Lattice · Physics 2025-03-20 Claudio Bonanno , Margarita García Pérez , Antonio González-Arroyo , Ken-Ichi Ishikawa , Masanori Okawa

We employ on-shell methods to construct scattering amplitudes and derive effective theories involving massive spin-3/2 fermions interacting with spin 0, 1 and 2 bosons. The four-point massive amplitudes are constructed using an…

High Energy Physics - Theory · Physics 2025-07-18 Tony Gherghetta , Wenqi Ke

In this paper we study the scattering amplitudes at strong coupling for the case where the number of gluons is a multiple of four. This is an important missing piece in arXiv:1002.2459. The tricky point for n=4K is that there is some…

High Energy Physics - Theory · Physics 2011-01-27 Gang Yang

Certain correlation functions are computed exactly in the zero coupling limit of N=4 super Yang-Mills theory with gauge group SU(N). A set of linearly independent operators that are in one-to-one correspondence with the half-BPS…

High Energy Physics - Theory · Physics 2008-11-26 Robert de Mello Koch , Rhiannon Gwyn

We present for the first time an efficient algorithm to find a basis of kinematically independent structures built of (massless and massive) spinor helicity variables in four dimensions. This method provides a classification of independent…

High Energy Physics - Theory · Physics 2022-09-14 Stefano De Angelis

We study large N SU(N) Yang-Mills theory in three and four dimensions using a one-parameter family of supergravity models which originate from non-extremal rotating D-branes. We show explicitly that varying this "angular momentum" parameter…

High Energy Physics - Theory · Physics 2009-09-17 Csaba Csaki , Yaron Oz , Jorge Russo , John Terning

We study the fermion zero-mode dynamics for open strings ending on the giant graviton branes. For the open string ending on the Z=0 brane, the quantization of the fermion zero-modes of boundary giant magnons reproduces the 256 states of the…

High Energy Physics - Theory · Physics 2009-02-20 Dongsu Bak

We pursue the use of deep learning methods to improve state-of-the-art computations in theoretical high-energy physics. Planar N = 4 Super Yang-Mills theory is a close cousin to the theory that describes Higgs boson production at the Large…

Machine Learning · Computer Science 2024-09-20 Tianji Cai , Garrett W. Merz , François Charton , Niklas Nolte , Matthias Wilhelm , Kyle Cranmer , Lance J. Dixon

We characterise possible identities among the two-loop partial amplitudes of gluon scattering in Yang-Mills theory. We use known amplitudes in an exhaustive search to identify potential new relations. We find two candidate relations which…

High Energy Physics - Theory · Physics 2023-08-15 David C. Dunbar