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In this paper, we obtain bounds on the Wilson loop expectations in 4D $U(1)$ lattice gauge theory which quantify the effect of topological defects. In the case of a Villain interaction, by extending the non-perturbative technique introduced…

Probability · Mathematics 2021-10-04 Christophe Garban , Avelio Sepúlveda

We study Wilson loops as a necessary tool for unambiguous identification of non-Abelian synthetic gauge fields, with attention to certain crucial but often overlooked features, such as the requirement of at least three distinct loops. We…

Quantum Gases · Physics 2019-12-20 Kunal K. Das

The meson eigenstates of the light-cone Hamiltonian in a coarse transverse lattice gauge theory are investigated. Building upon previous work in pure gauge theory, the Hamiltonian and its Fock space are expanded in powers of dynamical…

High Energy Physics - Phenomenology · Physics 2009-11-07 S. Dalley

We consider the Wilson loop expectation in SU(2) lattice gauge theory in the presence of constraints. The constraints eliminate from the functional measure gauge field configurations whose physical interpretation is that of thick center…

High Energy Physics - Lattice · Physics 2009-10-31 T. G. Kovács , E. T. Tomboulis

We analyze the interference pattern produced by ultracold atoms released from an optical lattice. Such interference patterns are commonly interpreted as the momentum distributions of the trapped quantum gas. We show that for finite…

In a quantum theory of gravity the gravitational Wilson loop, defined as a suitable quantum average of a parallel transport operator around a large near-planar loop, provides important information about the large-scale curvature properties…

High Energy Physics - Theory · Physics 2008-11-26 Herbert W. Hamber , Ruth M. Williams

We emphasize that non-conformal theories provide a natural playground for the ideas of the Maldacena conjecture, opening the possibility of exploring properties that could potentially be in the same universality class as QCD. In particular,…

High Energy Physics - Theory · Physics 2008-11-26 Leopoldo A. Pando Zayas , Daniel J. Phalen , Cesar A. Terrero-Escalante

The jet quenching phenomenon in an anisotropic quark-gluon plasma is studied using gauge-gravity duality. We consider a more general orientation of the contour of a lightlike Wilson loop in the boundary field theory. The Nambu-Goto action…

High Energy Physics - Theory · Physics 2026-01-01 Pavel Slepov

Recently, we proposed a general evolution equation for single quadrilateral Wilson loop on the light-cone. In present work, we study the energy evolution of a combination of two such loops that partially overlap or have a self-intersection.…

High Energy Physics - Phenomenology · Physics 2014-01-14 T. Mertens , P. Taels

Quantum simulation of lattice gauge theories (LGTs), aiming at tackling non-perturbative particle and condensed matter physics, has recently received a lot of interest and attention, resulting in many theoretical proposals, as well as…

We test numerically the effective string description of the infrared limit of lattice gauge theories in the confining regime. We consider the 3d Z(2) lattice gauge theory, and we define ratios of Wilson loops such that the predictions of…

High Energy Physics - Lattice · Physics 2008-11-26 M. Caselle , R. Fiore , F. Gliozzi , M. Hasenbusch , P. Provero

Wilson loops have been measured at strong coupling, $\beta=0.5$, on a $12^4$ lattice in a noncompact simulation of pure SU(2) in which random compact gauge transformations impose a kind of lattice gauge invariance. The Wilson loops suggest…

High Energy Physics - Lattice · Physics 2009-10-22 Kevin Cahill

We examine the manner in which a linear potential results from fluctuations due to vortices linked with the Wilson loop. Our discussion is based on exact relations and inequalities between the Wilson loop and the vortex and electric flux…

High Energy Physics - Lattice · Physics 2009-11-07 T. G. Kovacs , E. T. Tomboulis

We present a first-principle computation of the jet quenching parameter, which describes the momentum broadening of a high-energy parton moving through the deconfined state of QCD matter at high temperature. Following an idea originally…

High Energy Physics - Phenomenology · Physics 2014-05-09 Marco Panero , Kari Rummukainen , Andreas Schäfer

Non-Abelian gauge theories provide the most accurate description of fundamental interactions, showing remarkable agreement with experimental data in cosmology and particle physics. Highly precise predictions can be made using standard…

Quantum Physics · Physics 2025-12-03 Pierpaolo Fontana , Marc Miranda Riaza , Alessio Celi

We present an application of the standard Langevin dynamics to the problem of weak coupling perturbative expansions for Lattice QCD. This method can be applied to the computation of the most general observables. In this preliminary work we…

High Energy Physics - Lattice · Physics 2009-09-25 Francesco Di Renzo , Giuseppe Marchesini , Paolo Marenzoni , Enrico Onofri

We computed the static potential and Wilson loops to $O(\alpha^2)$ in perturbation theory for different lattice quark and gluon actions. In general, we find short distance lattice data to be well described by ``boosted perturbation…

High Energy Physics - Lattice · Physics 2015-06-25 G. S. Bali , P. Boyle , C. T. H. Davies

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

In this note, we discuss a random current expansion and a switching lemma for Ising lattice gauge theory at all choices of inverse temperature $\beta$, leading to summation over surfaces. We also describe couplings of this expansion with…

Probability · Mathematics 2025-11-18 Malin P. Forsström , Fredrik Viklund

In this paper, we study behaviour of Wilson loops in the boost-invariant nonequilibrium anisotropic quark-gluon plasma produced in heavy-ion collisions within the holographic approach. We describe the thermalization studying the evolution…

High Energy Physics - Theory · Physics 2018-05-24 Dmitry S. Ageev , Irina Ya. Aref'eva , Anastasia A. Golubtsova , Eric Gourgoulhon