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This thesis is concerned with the study of scattering amplitudes in four-dimensional conformal field theories, more particularly the N=4 super-Yang-Mills theory. We study this theory first at tree level by using twistor space techniques and…

高能物理 - 理论 · 物理学 2008-10-09 C. Vergu

Scattering amplitudes in maximally supersymmetric gauge theory receive a dual description in terms of the expectation value of the super Wilson loop stretched on a null polygonal contour. This makes the analysis amenable to nonperturbative…

高能物理 - 理论 · 物理学 2015-12-09 A. V. Belitsky

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…

高能物理 - 理论 · 物理学 2009-12-10 John McGreevy , Amit Sever

We study the correspondence between scattering amplitudes and Wilson loops in three-dimensional Chern-Simons matter theories. In particular, using N=2 superspace formalism, we compute at one loop the whole spectrum of four-point…

高能物理 - 理论 · 物理学 2015-05-30 Marco S. Bianchi , Matias Leoni , Andrea Mauri , Silvia Penati , Alberto Santambrogio

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

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 elaborate on a non-perturbative formulation of scattering amplitudes/null polygonal Wilson loops in planar N=4 Super-Yang-Mills theory. The construction is based on a decomposition of the Wilson loop into elementary building blocks named…

高能物理 - 理论 · 物理学 2015-06-16 Benjamin Basso , Amit Sever , Pedro Vieira

Scattering amplitudes in superconformal field theories do not enjoy this symmetry, because the definition of asymptotic states involve a notion of infinity. Concentrating on planar $\mathcal{N}=4$ Yang-Mills, we consider a generalization of…

高能物理 - 理论 · 物理学 2015-05-28 Simon Caron-Huot

The collinear factorization properties of two-loop scattering amplitudes in dimensionally-regulated N=4 super-Yang-Mills theory suggest that, in the planar ('t Hooft) limit, higher-loop contributions can be expressed entirely in terms of…

高能物理 - 理论 · 物理学 2010-11-15 C. Anastasiou , Z. Bern , L. Dixon , D. A. Kosower

This thesis aims at providing better understanding of the perturbative expansion of gauge theories with and without supersymmetry. At tree level, the BCFW recursion relations are analyzed with respect to their validity for general off-shell…

高能物理 - 理论 · 物理学 2014-09-30 Alexander Ochirov

Scattering amplitudes in planar N=4 super Yang-Mills theory reveal a remarkable symmetry structure. In addition to the superconformal symmetry of the Lagrangian of the theory, the planar amplitudes exhibit a dual superconformal symmetry.…

高能物理 - 理论 · 物理学 2015-05-20 J. M. Drummond

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

This article reviews the recent progress in twistor approaches to Wilson loops, amplitudes and their duality for N=4 super Yang-Mills. Wilson loops and amplitudes are derived from first principles using the twistor action for maximally…

高能物理 - 理论 · 物理学 2015-05-27 Tim Adamo , Mathew Bullimore , Lionel Mason , David Skinner

Line defects and scattering amplitudes have proven to be fruitful objects of study in the context of holographic dualities. They serve as valuable theoretical laboratories for the development of non-perturbative methods and have provided…

高能物理 - 理论 · 物理学 2025-09-18 Martín Lagares

The scattering equations provide a powerful framework for the study of scattering amplitudes in a variety of theories. Their derivation from ambitwistor string theory led to proposals for formulae at one loop on a torus for 10 dimensional…

高能物理 - 理论 · 物理学 2016-04-20 Yvonne Geyer , Lionel Mason , Ricardo Monteiro , Piotr Tourkine

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

The analytic structure of scattering amplitudes is restricted by Steinmann relations, which enforce the vanishing of certain discontinuities of discontinuities. We show that these relations dramatically simplify the function space for the…

高能物理 - 理论 · 物理学 2016-12-14 Simon Caron-Huot , Lance J. Dixon , Andrew McLeod , Matt von Hippel

We consider light-like Wilson loops with hexagonal geometry in the planar limit of N=4 Super-Yang-Mills theory. Within the Operator-Product-Expansion framework these loops receive contributions from all states that can propagate on top of…

高能物理 - 理论 · 物理学 2015-06-18 Benjamin Basso , Amit Sever , Pedro Vieira

We derive from ambitwistor strings new formulae for two-loop scattering amplitudes in supergravity and super-Yang-Mills theory, with any number of particles. We start by constructing a formula for the type II ambitwistor string amplitudes…

高能物理 - 理论 · 物理学 2018-12-18 Yvonne Geyer , Ricardo Monteiro

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…

高能物理 - 理论 · 物理学 2009-11-13 Luis F. Alday , Radu Roiban
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