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We compare the two-loop corrections to the finite part of the light-like hexagon Wilson loop with the recent numerical results for the finite part of the MHV six-gluon amplitude in N=4 SYM theory by Bern, Dixon, Kosower, Roiban, Spradlin,…

高能物理 - 理论 · 物理学 2009-04-17 J. M. Drummond , J. Henn , G. P. Korchemsky , E. Sokatchev

An intriguing new duality between planar MHV gluon amplitudes and light-like Wilson loops in N=4 super Yang-Mills is investigated. We extend previous checks of the duality by performing a two-loop calculation of the rectangular and…

高能物理 - 理论 · 物理学 2014-11-18 J. M. Henn

A duality relation has been proposed between the planar gluon MHV amplitudes and light-like Wilson loops in N=4 super Yang-Mills. At six-point two-loop, the results for the planar gluon MHV amplitude and for the light-like Wilson loop…

高能物理 - 理论 · 物理学 2011-02-28 Jian-Hui Zhang

There is growing evidence that on-shell gluon scattering amplitudes in planar N=4 SYM theory are equivalent to Wilson loops evaluated over contours consisting of straight, light-like segments defined by the momenta of the external gluons.…

高能物理 - 理论 · 物理学 2010-03-26 J. M. Drummond , J. Henn , G. P. Korchemsky , E. Sokatchev

We give a representation of the parity-even part of the planar two-loop six-gluon MHV amplitude of N=4 super-Yang-Mills theory, in terms of loop-momentum integrals with simple dual conformal properties. We evaluate the integrals numerically…

高能物理 - 理论 · 物理学 2008-11-26 Z. Bern , L. J. Dixon , D. A. Kosower , R. Roiban , M. Spradlin , C. Vergu , A. Volovich

For N=6 superconformal Chern-Simons-matter theories in three dimensions, by a direct superspace Feynman diagram approach, we compute the two-loop four-point scattering amplitude with external chiral matter fields. We find that the result is…

高能物理 - 理论 · 物理学 2015-05-28 Marco S. Bianchi , Matias Leoni , Andrea Mauri , Silvia Penati , Alberto Santambrogio

It is well-known that on-shell maximally helicity-violating gluon scattering amplitudes in maximally supersymmetric Yang-Mills theory are dual to a bosonic Wilson loop on a null-polygonal contour. The light-like nature of the intervals is a…

高能物理 - 理论 · 物理学 2022-08-02 A. V. Belitsky , V. A. Smirnov

We discuss gluon scattering amplitudes/null-polygonal Wilson loops of N = 4 super Yang-Mills theory at strong coupling based on the gauge/string duality and its underlying integrability. We focus on the amplitudes/Wilson loops corresponding…

高能物理 - 理论 · 物理学 2015-06-12 Yuji Satoh

We compute for the first time the two-loop corrections to arbitrary n-gon lightlike Wilson loops in N=4 supersymmetric Yang-Mills theory, using efficient numerical methods. The calculation is motivated by the remarkable agreement between…

This work is devoted to the six-gluon scattering amplitude in strongly coupled N=4 supersymmetric Yang-Mills theory. At weak coupling, an appropriate high energy limit of the so-called remainder function, i.e. of the deviation from the BDS…

高能物理 - 理论 · 物理学 2011-02-01 J. Bartels , J. Kotanski , V. Schomerus

We describe the hexagon function bootstrap for solving for six-gluon scattering amplitudes in the large $N_c$ limit of ${\cal N}=4$ super-Yang-Mills theory. In this method, an ansatz for the finite part of these amplitudes is constrained at…

高能物理 - 理论 · 物理学 2014-07-28 Lance J. Dixon , James M. Drummond , Claude Duhr , Matt von Hippel , Jeffrey Pennington

We first perform bosonic T-duality transformation on one of the marginal TsT (T-duality, shift, T-duality)-deformed $AdS_5\times S_5$ spacetime, which corresponds to 4D $\mathcal{N}=4$ non-commutative super Yang-Mills theory (NCSYM). We…

高能物理 - 理论 · 物理学 2018-09-05 Song He , Hongfei Shu

We examine the gluon scattering amplitude in N=4 super Yang-Mills at finite temperature with nonzero R-charge densities, and in Non-Commutative gauge theory at finite temperature. The gluon scattering amplitude is defined as a light-like…

高能物理 - 理论 · 物理学 2011-08-17 George Georgiou , Dimitrios Giataganas

We consider the duality between the four-dimensional S-matrix of planar maximally supersymmetric Yang-Mills theory and the expectation value of polygonal shaped Wilson loops in the same theory. We extend the duality to amplitudes with…

高能物理 - 理论 · 物理学 2011-07-19 Simon Caron-Huot

We study the first non-planar correction to gluon scattering amplitudes in ${\cal N}=4$ SYM theory. The correction takes the form of a double trace partial amplitude and is suppressed by one power of $1/N$ with respect to the leading single…

高能物理 - 理论 · 物理学 2018-09-26 Roy Ben-Israel , Alexander G. Tumanov , Amit Sever

Loop-level scattering amplitudes for massless particles have singularities in regions where tree amplitudes are perfectly smooth. For example, a $2\to4$ gluon scattering process has a singularity in which each incoming gluon splits into a…

高能物理 - 理论 · 物理学 2016-08-24 Lance J. Dixon , Ilya Esterlis

One of the many remarkable features of MHV scattering amplitudes is their conjectured equality to lightlike polygon Wilson loops, which apparently holds at all orders in perturbation theory as well as non-perturbatively. This duality is…

In this article we consider n gluon color ordered, planar amplitudes in N=4 super Yang Mills at strong 't Hooft coupling. These amplitudes are approximated by classical surfaces in AdS_5 space. We compute the value of the amplitude for a…

高能物理 - 理论 · 物理学 2010-04-06 Luis F. Alday , Juan Maldacena

We perform an examination of discontinuities of multiple production amplitudes, which are required for further development of the BFKL approach. It turns out that the discontinuities of 2 $\to$ 2 + n amplitudes obtained in the BFKL approach…

高能物理 - 理论 · 物理学 2015-12-09 V. S. Fadin , R. Fiore

We extend the AdS/CFT prescription of Alday and Maldacena to finite temperature $T$, defining the amplitude for gluon scattering in ${\cal N}=4$ Super Yang-Mills at strong coupling from string theory. It is defined by a lightlike ''Wilson…

高能物理 - 理论 · 物理学 2008-11-26 Katsushi Ito , Horatiu Nastase , Koh Iwasaki
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