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We study gluon scattering amplitudes in N=4 super Yang-Mills theory at strong coupling via the AdS/CFT correspondence. We solve numerically the discretized Euler-Lagrange equations on the square worldsheet for the minimal surface with…

高能物理 - 理论 · 物理学 2014-11-18 Suguru Dobashi , Katsushi Ito , Koh Iwasaki

We review recent developments in the study of gluon scattering amplitudes of the four-dimensional maximally supersymmetric Yang-Mills theory at strong coupling based on the gauge/string duality and its underlying integrability. The…

高能物理 - 理论 · 物理学 2012-12-21 Yuji Satoh

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 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

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

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

I describe some recent developments in the understanding of gluon scattering amplitudes in N=4 super-Yang-Mills theory in the large-N_c limit. These amplitudes can be computed to high orders in the weak coupling expansion, and also now at…

高能物理 - 理论 · 物理学 2009-08-07 Lance J. Dixon

We present a new formulation for Yang-Mills scattering amplitudes in any number of dimensions and at any loop order, based on the same combinatorial and binary-geometric ideas in kinematic space recently used to give an all-order…

高能物理 - 理论 · 物理学 2025-05-02 Nima Arkani-Hamed , Qu Cao , Jin Dong , Carolina Figueiredo , Song He

We study gluon scattering amplitudes/Wilson loops in N=4 super Yang-Mills theory at strong coupling by calculating the area of the minimal surfaces in AdS_3 based on the associated thermodynamic Bethe ansatz system. The remainder function…

高能物理 - 理论 · 物理学 2011-10-25 Yasuyuki Hatsuda , Katsushi Ito , Kazuhiro Sakai , Yuji Satoh

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…

高能物理 - 理论 · 物理学 2011-01-27 Gang Yang

Small instantons can play an important role in Yang-Mills theories whose gauge couplings are sizeable at small distances. An interesting class of theories where this could occur is in weakly-gauged holographic models (dual to Yang-Mills…

高能物理 - 理论 · 物理学 2021-12-08 Tony Gherghetta , Alex Pomarol

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.…

高能物理 - 理论 · 物理学 2014-11-21 Yasuyuki Hatsuda , Katsushi Ito , Kazuhiro Sakai , Yuji Satoh

We extend the analysis of Alday and Maldacena for obtaining gluon scattering amplitudes at strong coupling to include external massive quark states. Our quarks are actually the N=2 hypermultiplets which arise when D7-brane probes are…

高能物理 - 理论 · 物理学 2015-03-13 Edwin Barnes , Diana Vaman

We construct numerically the minimal surface in AdS spacetime surrounded by the light-like segments, which are dual to the 4, 6 and 8-point gluon scattering amplitudes in N=4 super Yang-Mills theory. We evaluate the area of the minimal…

高能物理 - 理论 · 物理学 2015-05-13 Suguru Dobashi , Katsushi Ito

We study gluon scattering amplitudes/Wilson loops in N=4 super Yang-Mills theory at strong coupling which correspond to minimal surfaces with a light-like polygonal boundary in AdS_3. We find a concise expression of the remainder function…

高能物理 - 理论 · 物理学 2015-05-30 Yasuyuki Hatsuda , Katsushi Ito , Yuji Satoh

We describe how to compute planar gluon scattering amplitudes at strong coupling in N=4 super Yang Mills by using the gauge/string duality. The computation boils down to finding a certain classical string configuration whose boundary…

高能物理 - 理论 · 物理学 2009-11-13 Luis F. Alday , Juan Maldacena

In this note we consider minimal surfaces in three dimensional anti-de Sitter space that end at the AdS boundary on a polygon given by a sequence of null segments. The problem can be reduced to a certain generalized Sinh-Gordon equation and…

高能物理 - 理论 · 物理学 2009-10-20 Luis F. Alday , Juan Maldacena

The binary interaction of large size instantons in a SU(2) Yang-Mills theory is obtained from the one-loop effective action for the field strength. The instanton interaction is calculated as a function of the instanton separation and in…

高能物理 - 唯象学 · 物理学 2009-10-28 K. Langfeld , H. Reinhardt

It has been a long-standing challenge to define a canonical loop integrand for non-supersymmetric gluon scattering amplitudes in the planar limit. Naive integrands are inflicted with $1/0$ ambiguities associated with tadpoles and massless…

高能物理 - 理论 · 物理学 2025-05-02 Nima Arkani-Hamed , Qu Cao , Jin Dong , Carolina Figueiredo , Song He

As we have shown in previous work, the high energy limit of scattering amplitudes in N=4 supersymmetric Yang-Mills theory corresponds to the infrared limit of the 1-dimensional quantum integrable system that solves minimal area problems in…

高能物理 - 理论 · 物理学 2014-11-11 J. Bartels , V. Schomerus , M. Sprenger
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