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We investigate the temporal Wilson loop using the Hamiltonian approach to Yang-Mills theory. In simple cases such as the Abelian theory or the non-Abelian theory in (1+1) dimensions, the known results can be reproduced using unitary…

High Energy Physics - Theory · Physics 2015-05-30 Hugo Reinhardt , Markus Quandt , Giuseppe Burgio

We introduce dressed Wilson loops as a novel confinement observable. It consists of closed planar loops of arbitrary geometry but fixed area and its expectation values decay with the latter. The construction of dressed Wilson loops is based…

High Energy Physics - Lattice · Physics 2011-11-23 Falk Bruckmann , Gergely Endrodi

The coefficients of the higher-derivative terms in the low energy expansion of genus-one graviton Type II superstring scattering amplitudes are determined by integrating sums of non-holomorphic modular functions over the complex structure…

High Energy Physics - Theory · Physics 2022-01-19 Eric D'Hoker , Michael B. Green , Pierre Vanhove

In this paper we construct the Wilson short distance operator product expansion for the gluon, quark and ghost propagators in QCD, including operators of dimension two and three, namely, A^2, m^2, m A^2, \ovl{\psi} \psi and m^3. We compute…

High Energy Physics - Phenomenology · Physics 2010-12-15 K. G. Chetyrkin , A. Maier

We study the structure of soft gluon corrections to multi-leg scattering amplitudes in a non-Abelian gauge theory by analysing the corresponding product of semi-infinite Wilson lines. We prove that diagrams exponentiate such that the colour…

High Energy Physics - Phenomenology · Physics 2015-10-23 Einan Gardi , Jennifer M. Smillie , Chris D. White

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…

High Energy Physics - Theory · Physics 2015-06-18 Benjamin Basso , Amit Sever , Pedro Vieira

We study the properties of Wilson loops in three dimensional non-compact U(1) gauge theories with global abelian symmetries. We use duality in the continuum and on the lattice, to argue that close to the critical point between the Higgs and…

High Energy Physics - Theory · Physics 2008-11-26 Max A. Metlitski

In this paper we study correlation functions of circular Wilson loops in higher dimensional representations with chiral primary operators of N=4 super Yang-Mills theory. This is done using the recently established relation between higher…

High Energy Physics - Theory · Physics 2009-11-11 Simone Giombi , Riccardo Ricci , Diego Trancanelli

Employing a cutting-edge bootstrap method, we analytically compute the three-loop pentagonal Wilson loop with Lagrangian insertion in planar $\mathcal{N}=4$ super-Yang-Mills theory. This object is conjectured to coincide with the maximally…

High Energy Physics - Theory · Physics 2025-12-22 Dmitry Chicherin , Johannes Henn , Yongqun Xu , Shun-Qing Zhang , Yang Zhang

We consider the motion of a charge in a large amplitude electrostatic wave with a triangular wave form relevant to an oscillating model of a pulsar magnetosphere. The (one-dimensional) orbit of a particle in such a wave is found exactly in…

High Energy Astrophysical Phenomena · Physics 2011-02-11 D. B. Melrose , M. Z. Rafat , Q. Luo

The matrix models which are conjectured to compute the circle Wilson loop and its correlator with chiral primary operators are mapped onto normal matrix models. A fermion droplet picture analogous to the well-known one for chiral primary…

High Energy Physics - Theory · Physics 2009-11-11 Kazumi Okuyama , Gordon W. Semenoff

Many Texo's have been corrected and a reference added.

High Energy Physics - Theory · Physics 2008-11-26 David J. Gross , Washington Taylor

Nonlinear light-matter interaction, as the core of ultrafast optics, bulk photovoltaics, nonlinear optical sensing and imaging, and efficient generation of entangled photons, has been traditionally studied by first-principles theoretical…

Materials Science · Physics 2022-06-10 Hua Wang , Xiuyu Tang , Haowei Xu , Ju Li , Xiaofeng Qian

We identify a universal finite-$N$ structure underlying Wilson loop expectations in lattice Yang-Mills, in any dimension $d\geq 2$, for gauge group $\mathrm{U}(N)$, and for arbitrary smooth central plaquette actions. The starting point is a…

Mathematical Physics · Physics 2026-04-20 Thibaut Lemoine

Using cumulant expansion for an averaged Wilson loop we derive an action of the gluodynamics string in the form of a series in powers of the correlation length of the vacuum. In the lowest orders it contains the Nambu-Goto term and the…

High Energy Physics - Theory · Physics 2015-06-26 D. V. Antonov , D. Ebert , Yu. A. Simonov

We compute the prediction of the Nambu-Goto effective string model for a rectangular Wilson loop up to three loops. This is done through the use of an operatorial, first order formulation and of the open string analogues of boundary states.…

High Energy Physics - Theory · Physics 2013-03-22 Marco Billo' , Michele Caselle , Roberto Pellegrini

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

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

It is shown that the application of the non-Abelian Stokes theorem to the computation of the operators constructed with Wilson loop will lead to ambiguity, if the gauge field under consideration is a non-trivial one. This point is…

High Energy Physics - Theory · Physics 2009-10-31 Ying Chen , Bing He , Ji-Min Wu

We discuss a semiclassical string description to circular Wilson loops without/with local operator insertions. By considering a semiclassical approximation of type IIB string theory on AdS_5 X S^5 around the corresponding classical…

High Energy Physics - Theory · Physics 2008-11-26 Makoto Sakaguchi , Kentaroh Yoshida
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