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Three-dimensional bond or site percolation theory on a lattice can be interpreted as a gauge theory in which the Wilson loops are viewed as counters of topological linking with random clusters. Beyond the percolation threshold large Wilson…

统计力学 · 物理学 2008-11-26 F. Gliozzi , S. Lottini , M. Panero , A. Rago

We use localization techniques to compute the expectation values of supersymmetric Wilson loops in Chern-Simons theories with matter. We find the path-integral reduces to a non-Gaussian matrix model. The Wilson loops we consider preserve a…

高能物理 - 理论 · 物理学 2010-12-21 Anton Kapustin , Brian Willett , Itamar Yaakov

The main result of this paper is a rigorous computation of Wilson loop expectations in strongly coupled $SO(N)$ lattice gauge theory in the large $N$ limit, in any dimension. The formula appears as an absolutely convergent sum over…

概率论 · 数学 2017-12-15 Sourav Chatterjee

We explicitly show the area law behavior of a circular Wilson loop in confining theories from supergravity. We calculate the correlator of two Wilson loops from supergravity in confining backgrounds. We find that it is dominated by an…

高能物理 - 理论 · 物理学 2010-02-03 J. Sonnenschein , A. Loewy

The AdS/CFT correspondence predicts a phase transition in Wilson loop correlators in the strong coupling N=4, D=4 SYM theory which arises due to instability of the classical string stretched between the loops. We study this transition in…

高能物理 - 理论 · 物理学 2009-10-31 K. Zarembo

We analyse the properties of Wilson loop observables for holographic gauge theories, when the dual bulk geometries have a single and/or multiple boundaries (Euclidean spacetime wormholes). Such observables lead to a generalisation and…

高能物理 - 理论 · 物理学 2024-03-01 Panos Betzios , Olga Papadoulaki

We consider the four-dimensional $\mathcal{N}=2$ quiver gauge theory arising from a $\mathbb{Z}_2$ orbifold of $\mathcal{N}=4$ super Yang-Mills with gauge group $SU(2N)$. We study the integrated correlator between a half-BPS Wilson line and…

高能物理 - 理论 · 物理学 2025-05-09 Alessandro Pini

We present a three-loop O(g^6) calculation of the difference between the expectation values of Wilson loops evaluated in N=4 and superconformal N=2 supersymmetric Yang-Mills theory with gauge group SU(N) using dimensional reduction. We find…

高能物理 - 理论 · 物理学 2010-11-04 Roman Andree , Donovan Young

Wilson loops provide the central gauge-invariant probe of confinement in lattice gauge theory. This survey reviews the statistical-mechanical formulation of lattice gauge ensembles, the strong-coupling and duality mechanisms behind area…

统计力学 · 物理学 2026-05-14 Ethan Zhou , Marcus Reed , Caleb Hayes

We compute expectation values of spatial Wilson loops in the forward light cone of high-energy collisions. We consider ensembles of gauge field configurations generated from a classical Gaussian effective action as well as solutions of…

高能物理 - 唯象学 · 物理学 2014-06-04 A. Dumitru , T. Lappi , Y. Nara

We study supersymmetric Wilson loop operators in four-dimensional N=4 super Yang-Mills theory. We show that the contour of a supersymmetric Wilson loop is either an orbit of some conformal transformation of the space-time (case I), or an…

高能物理 - 理论 · 物理学 2010-05-12 Anatoly Dymarsky , Vasily Pestun

We study the correlation function between one single-trace scalar operator and a circular Wilson loop in the $4d$ $\mathcal{N}=2$ superconformal field theory with gauge group $SU(N)$ and matter transforming in the symmetric and…

高能物理 - 理论 · 物理学 2023-06-19 Alessandro Pini , Paolo Vallarino

We study supersymmetric Wilson loops from a geometrical perspective. To this end, we propose a new formulation of these operators in terms of an integral form associated to the immersion of the loop into a supermanifold. This approach…

高能物理 - 理论 · 物理学 2020-05-20 C. A. Cremonini , P. A. Grassi , S. Penati

We study double-winding Wilson loops in $SU(N)$ lattice Yang-Mills gauge theory by using both strong coupling expansions and numerical simulations. First, we examine how the area law falloff of a ``coplanar'' double-winding Wilson loop…

高能物理 - 格点 · 物理学 2020-12-30 Seikou Kato , Akihiro Shibata , Kei-Ichi Kondo

We study insertions of composite operators into Wilson loops in N=4 supersymmetric Yang-Mills theory in four dimensions. The loops follow a circular or straight path and the composite insertions transform in the adjoint representation of…

高能物理 - 理论 · 物理学 2009-11-11 Nadav Drukker , Shoichi Kawamoto

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…

高能物理 - 理论 · 物理学 2009-11-09 Bin Chen , Jun-Bao Wu

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…

高能物理 - 理论 · 物理学 2020-05-20 M. Billo , F. Galvagno , P. Gregori , A. Lerda

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…

高能物理 - 理论 · 物理学 2013-10-17 Luis F. Alday , Johannes M. Henn , Jakub Sikorowski

By considering a Gaussian truncation of ${\cal N}=4$ super Yang-Mills, we derive a set of Dyson equations that account for the ladder diagram contribution to connected correlators of circular Wilson loops. We consider different numbers of…

高能物理 - 理论 · 物理学 2018-12-31 Diego Correa , Pablo Pisani , Alan Rios Fukelman , Konstantin Zarembo

We work out the map between null polygonal hexagonal Wilson loops and spinning three point functions in large $N$ conformal gauge theories by mapping the variables describing the two different physical quantities and by working out the…

高能物理 - 理论 · 物理学 2022-08-10 Carlos Bercini , Vasco Gonçalves , Alexandre Homrich , Pedro Vieira