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We study the divergences of Wilson loops for a contour with a cusp of zero opening angle, combined with a nonzero discontinuity of its curvature. The analysis is performed in lowest order, both for weak and strong coupling. Such a spike…

High Energy Physics - Theory · Physics 2018-05-08 Harald Dorn

Starting with the representation of the Wilson average in the Euclidean 4D compact QED as a partition function of the Universal Confining String Theory, we derive for it the corresponding loop equation, alternative to the familiar one. In…

High Energy Physics - Theory · Physics 2016-09-06 D. V. Antonov

We study adjoint and fundamental Wilson loops in the center-vortex picture of confinement, for gauge group SU(N) with general N. There are N-1 distinct vortices, whose properties, including collective coordinates and actions, we study. In…

High Energy Physics - Theory · Physics 2009-10-30 John M. Cornwall

We present in detail a technique to extract the potential between a static quark and anti-quark pair from Wilson loops measured on dynamical configurations. This technique is based on HYP smearing and leads to an exponential improvement of…

High Energy Physics - Lattice · Physics 2015-05-20 Michael Donnellan , Francesco Knechtli , Björn Leder , Rainer Sommer

We study the behaviour of the flux tube in the reconfined phase of the trace deformed $\mathrm{SU}(2)$ Yang-Mills theory in (2 + 1) dimensions. In this phase the Polyakov loop has a vanishing expectation value (and center symmetry is…

High Energy Physics - Lattice · Physics 2025-01-24 Caludio Bonati , Michele Caselle , Alessio Negro , Dario Panfalone , Lorenzo Verzichelli

The static potential, corresponding to the interaction of two heavy sources is computed for $\mathcal{N}=4$ Super Yang Mills in the strong 't Hooft coupling regime by using the AdS/CFT conjecture and performing a computation of a…

High Energy Physics - Theory · Physics 2007-05-23 Enrique Alvarez , Juan Jose Manjarin

We examine how the average of double-winding Wilson loops depends on the number of color $N$ in the $SU(N)$ Yang-Mills theory. In the case where the two loops $C_1$ and $C_2$ are identical, we derive the exact operator relation which…

High Energy Physics - Theory · Physics 2018-04-18 Ryutaro Matsudo , Kei-Ichi Kondo , Akihiro Shibata

We present some simple scenarios for string breaking on the lattice based on a crude strong coupling model introduced previously. We review the dependence of the model on lattice spacing and extend it to include degenerate dynamical quarks…

High Energy Physics - Lattice · Physics 2009-10-31 I T Drummond

A realistic model of $SU(5) \times U(1)_{\chi}$, embedded in $SO(10)$ supersymmetric grand unified theory, is investigated for the emergence of a metastable cosmic string network. This network eventually decays via the Schwinger production…

High Energy Physics - Phenomenology · Physics 2024-04-02 Waqas Ahmed , Mansoor Ur Rehman , Umer Zubair

Three distinct scales are identified in the excitation spectrum of the gluon field around a static quark-antiquark pair as the color source separation R is varied. The spectrum, with string-like excitations on the largest length scales of…

High Energy Physics - Lattice · Physics 2017-08-23 K. Jimmy Juge , J. Kuti , C. Morningstar

The average of two Wilson loops is expressed in terms of gauge invariant field strength correlators. Assuming the existence of finite correlation length $T_g$ and taking into account the absence of a fixed direction in colour space, we…

High Energy Physics - Phenomenology · Physics 2009-09-25 A. Yu. Dubin , Yu. S. Kalashnikova

We consider soliton solutions in AdS$_{4}$ with a flat slicing and Wilson loops around one cycle. We study the phase structure and find the ground state and identify supersymmetric solutions as a function of the Wilson loops. We work in the…

High Energy Physics - Theory · Physics 2023-02-08 Andrés Anabalón , Antonio Gallerati , Simon Ross , Mario Trigiante

Lattice Gauge theories have been studied in the physics literature as discrete approximations to quantum Yang-Mills theory for a long time. Primary statistics of interest in these models are expectations of the so called "Wilson loop…

Probability · Mathematics 2017-08-14 Riddhipratim Basu , Shirshendu Ganguly

We present an efficient local hybrid Monte-Carlo algorithm to investigate G(2) gluodynamics with and without Higgs field in 3 and 4 dimensions. Additionaly we implemented a modified version of the multi-level L\"uscher-Weisz algorithm with…

High Energy Physics - Lattice · Physics 2010-10-28 Bjoern H. Wellegehausen

We show that the breaking of integrability in the fundamental one-dimensional model of bosons with contact interactions has consequences on the stationary correlation properties of the system. We calculate the energies and correlation…

Quantum Physics · Physics 2014-06-26 Ioannis Brouzos , Angela Foerster

We present our preliminary study of the SU(2) gauge theory with 8 flavors of fermions in fundamental representation. This theory could be a candidate of the gauge theory with conformal fixed point. By using Wilson/Polyakov loop in a finite…

We consider antiparallel Wilson lines in N=4 super Yang-Mills in the presence of a codimension-1 defect. We compute the Wilson lines' expectation value both at weak coupling, in the gauge theory, and at strong coupling, by finding the…

High Energy Physics - Theory · Physics 2017-10-20 Michelangelo Preti , Diego Trancanelli , Edoardo Vescovi

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 consider a phenomenological model for the dynamics of Wilson loops in pure SU(N) QCD where the expectation value of the loop is the average over an interacting diffusion process on the group manifold SU(N). The interaction is provided by…

High Energy Physics - Theory · Physics 2008-11-26 Giovanni Arcioni , Sebastian de Haro , Peng Gao

The flux tube between a quark and an antiquark in Coulomb gauge is imagined in the gluon-chain model as a sequence of constituent gluons bound together by Coulombic nearest-neighbor interactions. We diagonalize the transfer matrix in SU(2)…

High Energy Physics - Lattice · Physics 2010-11-05 J. Greensite , S. Olejnik