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Related papers: Quark scattering amplitudes at strong coupling

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The energy density and angular distribution of power radiated by a quark undergoing circular motion in strongly coupled ${\cal N}=4$ supersymmetric Yang-Mills (SYM) theory is computed using gauge/gravity duality. The results are…

High Energy Physics - Theory · Physics 2011-02-01 Christiana Athanasiou , Paul M. Chesler , Hong Liu , Dominik Nickel , Krishna Rajagopal

Scattering amplitudes in Yang-Mills theory can be represented in the formalism of Cachazo, He and Yuan (CHY) as integrals over an auxiliary projective space---fully localized on the support of the scattering equations. Because solving the…

High Energy Physics - Theory · Physics 2016-12-21 N. E. J. Bjerrum-Bohr , Jacob L. Bourjaily , Poul H. Damgaard , Bo Feng

We express the heavy quark diffusion coefficient as the temporal variation of a Wilson line along the Schwinger-Keldysh contour. This generalizes the classical formula for diffusion as a force-force correlator to a non-abelian theory. We…

High Energy Physics - Phenomenology · Physics 2008-11-26 Jorge Casalderrey-Solana , Derek Teaney

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

In light of the strong advances in understanding the mathematical structure of scattering amplitudes, we discuss the Regge limit of QCD and of the ${\cal N}=4$ Super Yang-Mills theory.

High Energy Physics - Theory · Physics 2018-12-05 Vittorio Del Duca

The high energy limit of scattering amplitudes in the N=4 supersymmetric Yang-Mills theory is studied by solving the corresponding BFKL equation in the next-to-leading approximation. The gluon Green's function is analysed using a newly…

High Energy Physics - Theory · Physics 2009-11-10 Jeppe R. Andersen , Agustin Sabio Vera

As a consequence of the AdS/CFT correspondence, planar ${\cal N} =4$ super Yang-Mills SU(N) theory is expected to exhibit stringy behavior and multi-Regge asymptotic. In this paper we extend our recent investigation to consider issues of…

High Energy Physics - Theory · Physics 2014-11-18 Richard C. Brower , Horatiu Nastase , Howard J. Schnitzer , Chung-I Tan

We review, in a self-contained and pedagogical manner, recent developments and techniques for the evaluation of the scattering amplitudes of planar N=4 SYM theory at both weak and strong coupling. Special emphasis is placed on the newly…

High Energy Physics - Theory · Physics 2009-11-13 Luis F. Alday , Radu Roiban

We investigate the transverse fluctuations of the confining string connecting two static quarks in (2+1)-d SU(2) Yang-Mills theory using Monte Carlo calculations. The exponentially suppressed signal is extracted from the large noise by a…

High Energy Physics - Lattice · Physics 2010-11-11 F. Gliozzi , M. Pepe , U. -J. Wiese

We consider the $\mathcal{N}=2$ quiver gauge theory arising from a $\mathbb{Z}_M$ orbifold of $\mathcal{N}=4$ Super Yang-Mills theory. Over the years, exploiting supersymmetric localization, exact expressions for several observables have…

High Energy Physics - Theory · Physics 2025-05-06 Pieter-Jan De Smet , Alessandro Pini , Paolo Vallarino

These lectures are centred around tree-level scattering amplitudes in pure Yang-Mills theories, the most prominent example is given by the tree-level gluon amplitudes of QCD. I will discuss several ways of computing these amplitudes,…

High Energy Physics - Theory · Physics 2017-01-23 Stefan Weinzierl

Planar maximally supersymmetric Yang-Mills theory (N=4 SYM) is a special quantum field theory. A few of its remarkable features are conformal symmetry at the quantum level, evidence of integrability and, moreover, it is a prime example of…

High Energy Physics - Theory · Physics 2016-08-05 Brenda Penante

The novel massive spinor-helicity formalism of Arkani-Hamed, Huang and Huang provides an elegant way to calculate scattering amplitudes in quantum chromodynamics for arbitrary quark spin projections. In this note we compute two families of…

High Energy Physics - Phenomenology · Physics 2018-12-18 Alexander Ochirov

We compute the three-loop four-gluon scattering amplitude in maximally supersymmetric Yang-Mills theory, including its full color dependence. Our result is the first complete computation of a non-planar four-particle scattering amplitude to…

High Energy Physics - Theory · Physics 2016-10-26 Johannes M. Henn , Bernhard Mistlberger

Collinear limit usually provides strong constraints for scattering amplitudes. At strong coupling, collinear limit of the amplitudes in N=4 SYM is related to the large mass limit of the corresponding Y system. In this paper, we consider a…

High Energy Physics - Theory · Physics 2011-03-22 Gang Yang

We study six-point gluon scattering amplitudes in N=4 super Yang-Mills theory at strong coupling by investigating the thermodynamic Bethe ansatz equations of the underlying Z_4-symmetric integrable model both analytically and numerically.…

High Energy Physics - Theory · Physics 2014-11-21 Yasuyuki Hatsuda , Katsushi Ito , Kazuhiro Sakai , Yuji Satoh

We derive an expression for parton scattering amplitudes of planar gauge theory in terms of sums of Wilson loops. We study in detail the example of Yang-Mills theory with an adjoint Higgs field. The expression exhibits the T-duality…

High Energy Physics - Theory · Physics 2009-12-10 John McGreevy , Amit Sever

We use perturbation theory to compute the diffusion coefficient of a heavy quark or scalar moving in N=4 SU(N_c) Super Yang-Mills plasma to leading order in the coupling and the ratio T/M<<1. The result is compared both to recent strong…

High Energy Physics - Phenomenology · Physics 2009-11-11 P. M. Chesler , A. Vuorinen

Planar N=4 Super Yang-Mills theory appears to be a quantum integrable four-dimensional conformal theory. This has been used to find equations believed to describe its exact spectrum of anomalous dimensions. Integrability seemingly also…

High Energy Physics - Theory · Physics 2015-06-16 Livia Ferro , Tomasz Lukowski , Carlo Meneghelli , Jan Plefka , Matthias Staudacher

This work revisits the computation of six-gluon scattering amplitudes in the high energy limit of strongly coupled N=4 supersymmetric Yang-Mills theory. It is based on previous studies in which we showed that the amplitude simplifies in the…

High Energy Physics - Theory · Physics 2013-11-08 J. Bartels , J. Kotanski , V. Schomerus , M. Sprenger