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Correlation functions of Wilson lines are relevant for describing the infrared structure of scattering amplitudes. We develop a new method for evaluating a wide class of such Wilson line integrals, and apply it to the calculation of the…

High Energy Physics - Theory · Physics 2015-06-15 Johannes M. Henn , Tobias Huber

We derive exact formulas for circular Wilson loops in the $\mathcal{N}=4$ and $\mathcal{N}=2^{* }$ theories with gauge groups $U(N)$ and $SU(N)$ in the $k$-fold symmetrized product representation. The formulas apply in the limit of large…

High Energy Physics - Theory · Physics 2022-09-14 D. Rodriguez-Gomez , J. G. Russo

Applying the AdS/CFT correspondence, the expansion of the heavy-quark potential of the ${\cal N}$ supersymmetric Yang-Mills theory at large $N_c$ is carried out to the sub-leading term in the large 't Hooft coupling at nonzero temperatures.…

High Energy Physics - Phenomenology · Physics 2015-03-19 Zi-qiang Zhang , Defu Hou , Hai-cang Ren , Lei Yin

We study the half-BPS circular Wilson loop in ${\cal N}=4$ super Yang-Mills with orthogonal gauge group. By supersymmetric localization, its expectation value can be computed exactly from a matrix integral over the Lie algebra of $SO(N)$.…

High Energy Physics - Theory · Physics 2020-06-22 Simone Giombi , Bendeguz Offertaler

We present results for the three-loop universal anomalous dimension of Wilson twist-2 operators in the N=4 Supersymmetric Yang-Mills model. These results are obtained by extracting the most complicated contributions from the three loop…

High Energy Physics - Theory · Physics 2016-09-06 A. V. Kotikov , L. N. Lipatov , A. I. Onishchenko , V. N. Velizhanin

We study supersymmetric Wilson loop operators in ABJM theory from both sides of the AdS_4/CFT_3 correspondence. We first construct some supersymmetric Wilson loops. The perturbative computations are performed in the field theory side at the…

High Energy Physics - Theory · Physics 2009-11-09 Bin Chen , Jun-Bao Wu

The potential between a static quark and antiquark in pure SU(3) Yang-Mills theory is evaluated non-perturbatively through computations on the lattice in the region from short to intermediate distances (0.05 fm < r < 0.8 fm). In the high…

High Energy Physics - Lattice · Physics 2016-09-01 Silvia Necco

We investigate elliptical Wilson loops in ${\cal N}=4$ Super Yang--Mills theory at weak and strong coupling for small values of the eccentricity. We obtain analytical results for the vacuum expectation value of the Wilson loop in the form…

High Energy Physics - Theory · Physics 2025-09-15 Thales Azevedo , Alfonso Ballon-Bayona , Leonardo Pazito

We consider 1/2-BPS circular Wilson loops in a class of 5d superconformal field theories on S^5. The large N limit of the vacuum expectation values of Wilson loops are computed both by localization in the field theory and by evaluating the…

High Energy Physics - Theory · Physics 2014-02-20 Benjamin Assel , John Estes , Masahito Yamazaki

We construct new large classes of BPS Wilson hyperloops in three-dimensional ${\cal N}=4$ quiver Chern-Simons-matter theory on $S^3$. The main strategy is to start with the 1/2 BPS Wilson loop of this theory, choose any linear combination…

High Energy Physics - Theory · Physics 2022-08-22 Nadav Drukker , Ziwen Kong , Malte Probst , Marcia Tenser , Diego Trancanelli

Correlators of Wilson loop operators with O_4=Tr(F_{\mu\nu}^2+...) are computed in N=4 super-Yang-Mills theory using the AdS/CFT correspondence. The results are compared with the leading order perturbative computations. As a consequence of…

High Energy Physics - Theory · Physics 2009-10-31 J. Erickson , G. W. Semenoff , K. Zarembo

We derive an exact analytical expression for the one-loop partition function of a string in AdS_5xS^5 background with world-surface ending on two anti-parallel lines. All quantum fluctuations are shown to be governed by integrable,…

High Energy Physics - Theory · Physics 2011-06-21 Valentina Forini

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 solve Schr\"odinger's equation for the ground-state of {\it four}-dimensional Yang-Mills theory as an expansion in inverse powers of the coupling. Expectation values computed with the leading order approximation are reduced to a…

High Energy Physics - Theory · Physics 2008-11-26 Paul Mansfield

We study a family of circular BPS Wilson loops in N=6 super Chern-Simons-matter theories, generalizing the usual 1/2-BPS circle. The scalar and fermionic couplings depend on two deformation parameters and these operators can be considered…

High Energy Physics - Theory · Physics 2015-06-18 Marco S. Bianchi , Luca Griguolo , Matias Leoni , Silvia Penati , Domenico Seminara

The use of supersymmetric localisation has recently led to modular covariant expressions for certain integrated correlators of half-BPS operators in $\mathcal{N} = 4$ supersymmetric Yang-Mills theory with a general classical gauge group…

High Energy Physics - Theory · Physics 2023-05-10 Daniele Dorigoni , Michael B. Green , Congkao Wen , Haitian Xie

We study operator insertions into 1/2 BPS Wilson loops in N = 6 ABJM theory and investigate their two-point correlators. In this framework, the energy emitted by a heavy moving probe can be exactly obtained from some two-point coefficients…

High Energy Physics - Theory · Physics 2017-12-05 Lorenzo Bianchi , Luca Griguolo , Michelangelo Preti , Domenico Seminara

We study 1/2-BPS Wilson loop operators in maximally supersymmetric Yang-Mills theory on $d$-dimensional spheres. Their vacuum expectation values can be computed at large $N$ through supersymmetric localisation. The holographic duals are…

High Energy Physics - Theory · Physics 2025-04-08 Davide Astesiano , Pieter Bomans , Fridrik Freyr Gautason , Valentina Giangreco M. Puletti , Alexia Nix

We construct a superpropagator in maximally supersymmetric Yang-Mills theory which is invariant off-shell under a chiral half of supersymmetries. Motivated by the duality with scattering amplitudes in this theory, we apply this…

High Energy Physics - Theory · Physics 2015-06-11 A. V. Belitsky , S. Caron-Huot

In the planar N = 4 supersymmetric Yang-Mills theory at weak coupling, we perform the first analytic computation of a two-loop eight-edged Wilson loop embedded into the boundary of AdS3. Its remainder function is given as a function of…

High Energy Physics - Theory · Physics 2014-11-21 Vittorio Del Duca , Claude Duhr , Vladimir A. Smirnov
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