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We discuss the non-perturbative computation and interpretation of a colour adjoint static potential based on Wilson loops with generator insertions. Numerical lattice results for SU(2) gauge theory are presented and compared to…

High Energy Physics - Lattice · Physics 2013-10-30 Marc Wagner , Owe Philipsen

There has been substantial progress in understanding confinement in a class of four-dimensional SU(N) gauge theories using semiclassical methods. These models have one or more compact directions, and much of the analysis is based on the…

High Energy Physics - Theory · Physics 2014-10-08 Michael C. Ogilvie

In the planar limit of QCD meson correlation functions can be written as a path-integral for a spin-half particle with each path being weighted by the expectation value of the corresponding Super Wilson Loop. An important quantity in this…

High Energy Physics - Theory · Physics 2007-05-23 Vikram Vyas

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…

High Energy Physics - Theory · Physics 2010-11-04 Roman Andree , Donovan Young

The asymptotic behavior of Wilson loops in the large-size limit ($L\rightarrow\infty$) in confining gauge theories with area law is controlled by effective string theory (EST). The $L^{-2}$ term of the large-size expansion for the logarithm…

High Energy Physics - Theory · Physics 2020-05-20 P. V. Pobylitsa

We discuss the relation between partonic distributions near the phase space boundary and Wilson loop expectation values calculated along paths partially lying on the light-cone. Due to additional light-cone singularities, multiplicative…

High Energy Physics - Phenomenology · Physics 2008-11-26 G. P. Korchemsky , G. Marchesini

We investigate, via Monte Carlo simulations, the phase structure of a system of closed, nonintersecting but otherwise non-interacting, loops in 3 Euclidean dimensions. The loops correspond to closed trajectories of massive particles and we…

High Energy Physics - Lattice · Physics 2015-03-13 Richard MacKenzie , F. Nebia-Rahal , M. B. Paranjape

We present our investigations of SU($N$) adjoint QCD in two dimensions with one Majorana fermion on the lattice. We determine the relevant parameter range for the simulations with Wilson fermions and present results for Polyakov loop,…

High Energy Physics - Lattice · Physics 2024-04-08 Georg Bergner , Stefano Piemonte , Mithat Ünsal

We present some evidence that in Lattice Gauge Theory the condensate contains a non-perturbative contribution proportional to $\Lambda^2$, the square of the physical scale. This result is based on an analysis of the Wilson loop plaquette…

High Energy Physics - Phenomenology · Physics 2009-10-30 G. Burgio , F. Di Renzo , G. Marchesini , E. Onofri

We calculate quantum averages of Wilson loops (holonomies) in gauge theories on the Euclidean noncommutative plane, using a path-integral representation of the star-product. We show how the perturbative expansion emerges from a concise…

High Energy Physics - Theory · Physics 2009-11-10 J. Ambjorn , A. Dubin , Y. Makeenko

We study the low-energy limit of Wilson lines (charged impurities) in conformal gauge theories in 2+1 and 3+1 dimensions. As a function of the representation of the Wilson line, certain defect operators can become marginal, leading to…

High Energy Physics - Theory · Physics 2023-04-26 Ofer Aharony , Gabriel Cuomo , Zohar Komargodski , Márk Mezei , Avia Raviv-Moshe

In these lectures we describe the attempt to extract the expectation values of Wilson loops from the string/gauge correspondence. We start with the original calculation in $AdS_5$. It is then extended to the non-conformal background of…

High Energy Physics - Theory · Physics 2007-05-23 Jacob Sonnenschein

We calculate circular Wilson loop expectation value of pure ${\cal N}=1$ super Yang-Mills from the Klebanov-Strassker-Tseytlin solution of supergravity and the proposed gauge/gravity duality. The calculation is performed numerically via…

High Energy Physics - Theory · Physics 2007-05-23 Xiao-Jun Wang , Sen Hu

We give a path integral prescription for the pair correlation function of Wilson loops lying in the worldvolume of Dbranes in the bosonic open and closed string theory. The results can be applied both in ordinary flat spacetime in the…

High Energy Physics - Theory · Physics 2009-10-31 S. Chaudhuri , Y. Chen , E. Novak

The open Wilson lines are gauge-invariant operators made with a gauge transporter along an open path saturated at the end-points with matter fields. Here it is shown that numerical experiments on 3D Z2 Higgs model provide useful guidance in…

High Energy Physics - Lattice · Physics 2009-11-11 F. Gliozzi

Wilson flow is an effective tool for constructing renormalized composite operators. We explore use of the Wilson flow to construct renormalized order parameters for the deconfinement transition in SU(3) gauge theory. We discuss…

High Energy Physics - Lattice · Physics 2016-12-26 Saumen Datta , Sourendu Gupta , Andrew Lytle

We discuss the effective action for Polyakov-Wilson loops winding around compact Euclidean time, which serve as order parameters for the finite temperature deconfinement transition in $SU(N)$ Yang-Mills gauge theory. We then apply our…

High Energy Physics - Theory · Physics 2009-10-28 Joshua Boorstein , David Kutasov

An observation of autocorrelation of Wilson loops on lattice is presented, especially for the small seperation in Markov chain. We give a possible explanation for such behavior. We also present the dependence of autocorrelation behavior on…

High Energy Physics - Lattice · Physics 2009-11-07 Da Qing Liu , Ying Chen , Ji Min Wu

We construct the minimal surface in AdS, relevant for the strong coupling behaviour of local supersymmetric Wilson loops in N=4 SYM for a closed contour formed out of segments of two intersecting circles. Its regularised area is calculated…

High Energy Physics - Theory · Physics 2015-12-17 Harald Dorn

We investigate the formation of condensates in a binary lattice gas in the presence of chiral interactions. These interactions differ between a given microscopic configuration and its mirror image. We consider a two dimensional lattice gas…

Statistical Mechanics · Physics 2024-09-26 Boyi Wang , Frank Jülicher , Patrick Pietzonka