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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…

Statistical Mechanics · Physics 2026-05-14 Ethan Zhou , Marcus Reed , Caleb Hayes

In string theory, there are no continuous global symmetries. Discrete symmetries frequently appear, and these can often be understood as unbroken subgroups of larger, spontaneously broken gauge symmetries (discrete gauge symmetries). In…

High Energy Physics - Theory · Physics 2007-05-23 D. A. MacIntire

The spontaneous breaking of SU(4) heterotic standard models by Z_3 x Z_3 Wilson lines to the MSSM with three right-handed neutrino supermultiplets and gauge group SU(3)_C x SU(2)_L x U(1) x U(1) is explored. The two-dimensional subspace of…

High Energy Physics - Theory · Physics 2015-06-04 Burt Ovrut , Austin Purves , Sogee Spinner

We obtain concise analytic formulae for Wilson loops computed on special n-point polygonal contours through two-loops in weakly coupled N=4 supersymmetric gauge theory. The contours we consider can be embedded into a (1+1)-dimensional…

High Energy Physics - Theory · Physics 2010-11-15 Paul Heslop , Valentin V. Khoze

Quiver gauge theories with a large number of nodes host a wealth of Wilson loop operators. Expectation values are obtained, using supersymmetric localization, for Wilson loops in the antisymmetric representations associated with each…

High Energy Physics - Theory · Physics 2020-10-26 Christoph F. Uhlemann

We propose and discuss a new approach to the analysis of the correlation functions which contain light-like Wilson lines or loops, the latter being cusped in addition. The objects of interest are therefore the light-like Wilson…

High Energy Physics - Phenomenology · Physics 2013-03-12 I. O. Cherednikov , T. Mertens , F. F. Van der Veken

We present a method which relies on loop contributions from four-top SMEFT operators to single Higgs observables to contrain their Wilson coefficients. Such loop-induced terms have a non-trivial interplay with the extraction of the…

High Energy Physics - Phenomenology · Physics 2024-01-11 Stefano Di Noi , Ramona Gröber

Let $\mathfrak{g}$ be a simple Lie algebra. We study 1/2-BPS Wilson loops of supersymmetric 5d $\mathfrak{g}$-type quiver gauge theories on a circle, in a non-trivial instanton background. The Wilson loops are codimension 4 defects of the…

High Energy Physics - Theory · Physics 2024-10-01 Nathan Haouzi , Can Kozçaz

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…

High Energy Physics - Lattice · Physics 2020-12-30 Seikou Kato , Akihiro Shibata , Kei-Ichi Kondo

We obtain an explicit expression for the supersymmetric Wilson loop in terms of chiral superfields and supercurrents in superspace. The result turns out to be different from what one would expect from the simple replacement of Lie algebra…

High Energy Physics - Theory · Physics 2009-10-28 M. Awada , F. Mansouri

We study anomalous dimensions of (super)conformal Wilson operators at weak and strong coupling making use of the integrability symmetry on both sides of the gauge/string correspondence and elucidate the origin of their single-logarithmic…

High Energy Physics - Theory · Physics 2008-11-26 A. V. Belitsky , A. S. Gorsky , G. P. Korchemsky

Using localization, matrix model and saddle-point techniques, we determine exact behavior of circular Wilson loop in N=2 superconformal (quiver) gauge theories. Focusing at planar and large `t Hooft couling limits, we compare its asymptotic…

High Energy Physics - Theory · Physics 2011-02-02 Soo-Jong Rey , Takao Suyama

We explore the consequences of imposing Polyakov's zig/zag-invariance in the search for a confining string. We first find that the requirement of zig/zag-invariance seems to be incompatible with spacetime supersymmetry. We then try to find…

High Energy Physics - Theory · Physics 2009-10-31 E. Alvarez , C. Gomez , T. Ortin

Using an effective field theory approach, we address the effects on the gauge couplings of one and two additional compact dimensions in the presence of a constant background (gauge) field. Such background fields are a generic presence in…

High Energy Physics - Theory · Physics 2015-06-26 D. M. Ghilencea

In previous work, we presented a statistical scan over the soft supersymmetry breaking parameters of the minimal SUSY $B-L$ model. For specificity of calculation, unification of the gauge parameters was enforced by allowing the two…

High Energy Physics - Phenomenology · Physics 2016-08-03 Rehan Deen , Burt A. Ovrut , Austin Purves

We have investigated the signal for physics beyond the Standard Model via Higgs plus photon final state, hitherto unobserved at the LHC, in the framework of Standard Model Effective Field Theory. Using the relevant dimension-6 operators, we…

High Energy Physics - Phenomenology · Physics 2023-05-17 Tisa Biswas , Anindya Datta

Wilson loops are essential objects in QCD and have been pivotal in scale setting and demonstrating confinement. Various generalizations are crucial for computations needed in effective field theories. In lattice gauge theory, Wilson loop…

High Energy Physics - Lattice · Physics 2026-05-08 Verena Bellscheidt , Nora Brambilla , Andreas S. Kronfeld , Julian Mayer-Steudte

Four-dimensional strings with the standard model gauge group $SU(3)\times SU(2)\times U(1)$ give model-dependent predictions for the tree level weak mixing-angle. In the presence of an extra pseudo-anomalous gauged- ${U(1)}_X$, the value of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Luis E. Ibanez

The static potential in the 3d SU(2) Higgs model is computed by a variational calculation employing Wilson loops and two-meson operators. String breaking is demonstrated numerically, the breaking scale is determined and the results are…

High Energy Physics - Lattice · Physics 2009-10-31 O. Philipsen , H. Wittig

We consider a population of small, high-velocity cosmic string loops. We assume the typical length of these loops is determined by the gravitational radiation scale and use the results of \cite{Polchinski:2007rg} which pointed out their…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Florian Dubath , Jorge V. Rocha