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Related papers: Light-like Wilson loop correlators

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We consider conformal N=2 super Yang-Mills theories with gauge group SU(N) and Nf=2N fundamental hypermultiplets in presence of a circular 1/2-BPS Wilson loop. It is natural to conjecture that the matrix model which describes the…

High Energy Physics - Theory · Physics 2020-05-20 M. Billo , F. Galvagno , P. Gregori , A. Lerda

Supersymmetric circular Wilson loops in $\mathcal{N}=4$ Super-Yang-Mills theory are discussed starting from their Gaussian matrix model representations. Previous results on the generating functions of Wilson loops are reviewed and extended…

High Energy Physics - Theory · Physics 2021-07-06 Wolfgang Mück

We investigate a \Pi-shape Wilson loop in N=4 super Yang--Mills theory, which lies partially at the light-cone, and consider an associated open superstring in AdS_5 x S^5. We discuss how this Wilson loop determines the anomalous dimensions…

High Energy Physics - Theory · Physics 2009-11-07 Yuri Makeenko

Expectation value of lightlike polygon Wilson loop is computed in the three-dimensional ABJM theory up to second-order in `t Hooft coupling in the limit of infinitely many colors and the result is critically compared with that in the…

High Energy Physics - Theory · Physics 2014-12-31 Jin-Beom Bae , Soo-Jong Rey

Null Wilson loops in $\mathcal{N}=4$ super Yang-Mills are dual to planar scattering amplitudes. This duality implies hidden symmetries for both objects. We consider closely related infrared finite observables, defined as the Wilson loop…

High Energy Physics - Theory · Physics 2022-02-14 Dmitry Chicherin , Johannes M. Henn

We summarise the status of an intriguing new duality between planar maximally helicity violating scattering amplitudes and light-like Wilson loops in N=4 super Yang-Mills. In particular, we focus on the role played by (dual) conformal…

High Energy Physics - Theory · Physics 2022-10-05 Johannes Henn

The leading singularities of one-loop scattering amplitudes in planar $\mathcal{N}=4$ super Yang-Mills theory are known to factorise into products of tree-level amplitudes, and this can be seen from a number of different perspectives e.g.…

High Energy Physics - Theory · Physics 2026-02-23 James Drummond , Matthew Rochford , Rowan Wright

Motivated by the problem of understanding 3-point correlation functions of gauge-invariant operators in N =4 super Yang-Mills theory we consider correlators involving Wilson loops and a "light" operator with fixed quantum numbers. At…

High Energy Physics - Theory · Physics 2012-04-19 Luis F. Alday , Arkady A. Tseytlin

We explore the duality between supersymmetric Wilson loop on null polygonal contours in maximally supersymmetric Yang-Mills theory and next-to-maximal helicity violating (NMHV) scattering amplitudes. Earlier analyses demonstrated that the…

High Energy Physics - Theory · Physics 2015-06-05 A. V. Belitsky

We study our Schwinger-Dyson equation as well as the large $N_{c}$ loop equation for supersymmetric Yang-Mills theory in four dimensions by the N=1 superspace Wilson-loop variable. We are successful in deriving a new manifestly…

High Energy Physics - Theory · Physics 2009-10-30 Hiroshi Itoyama , Hiroyuki Takashino

Classically supersymmetric Wilson loop on a null polygonal contour possesses all symmetries required to match it onto non-MHV amplitudes in maximally supersymmetric Yang-Mills theory. However, to define it quantum mechanically, one is…

High Energy Physics - Theory · Physics 2015-06-04 A. V. Belitsky

The vacuum expectation value of the Wilson loop functional in pure Yang-Mills theory on an arbitrary two-dimensional orientable manifold is studied. We consider the calculation of this quantity for the abelian theory in the continuum case…

High Energy Physics - Theory · Physics 2009-10-31 J. M. Aroca , Yu. Kubyshin

An effective action is proposed to compute the expectation value of Wilson loops in $(S)U(N)$ gauge theories. The action consists of fermions localized on the loop and an Abelian gauge field that fixes the representation. The discussion is…

High Energy Physics - Theory · Physics 2018-08-01 Carlos Hoyos

A light-like Wilson loop is computed in perturbation theory up to ${\cal O} (g^4)$ for pure Yang--Mills theory in 1+1 dimensions, using Feynman and light--cone gauges to check its gauge invariance. After dimensional regularization in…

High Energy Physics - Theory · Physics 2009-10-28 A. Bassetto , F. De Biasio , L. Griguolo

We continue the study of n-point correlation functions of half-BPS protected operators in N=4 super-Yang-Mills theory, in the limit where the positions of the adjacent operators become light-like separated. We compute the l-loop corrections…

High Energy Physics - Theory · Physics 2015-05-19 Burkhard Eden , Gregory P. Korchemsky , Emery Sokatchev

We compute at strong coupling the large N correlation functions of supersymmetric Wilson loops in large representations of the gauge group with local operators of N=4 super Yang-Mills. The gauge theory computation of these correlators is…

High Energy Physics - Theory · Physics 2009-04-29 Jaume Gomis , Shunji Matsuura , Takuya Okuda , Diego Trancanelli

We investigate Schwinger-Dyson equations for correlators of Wilson line operators in non-commutative gauge theories. We point out that, unlike what happens for closed Wilson loops, the joining term survives in the planar equations. This…

High Energy Physics - Theory · Physics 2011-07-19 Avinash Dhar , Yoshihisa Kitazawa

We study correlators of null, $n$-sided polygonal Wilson loops with a Lagrangian insertion in the planar limit of the ${\cal N}=4$ supersymmetric Yang-Mills theory. This finite observable is closely related to loop integrands of…

High Energy Physics - Theory · Physics 2025-03-24 Taro V. Brown , Johannes M. Henn , Elia Mazzucchelli , Jaroslav Trnka

We compute correlation functions of protected primaries on the $1/2$-BPS Wilson loop in ${\cal N}$ = 4 super Yang-Mills theory at weak coupling. We first perform direct perturbative computation at one loop in the planar limit and present…

High Energy Physics - Theory · Physics 2019-03-27 Naoki Kiryu , Shota Komatsu

We compute analytically the two-loop contribution to the correlation function of the Lagrangian with a four-sided light-like (or null) Wilson loop in N=4 super Yang-Mills. As a non-trivial test of our result, we reproduce the three-loop…

High Energy Physics - Theory · Physics 2013-10-17 Luis F. Alday , Johannes M. Henn , Jakub Sikorowski