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We study the representations of SU(2) lattice gauge theory in terms of sums over the worldsheets of center vortices and Z2 electric strings, i.e. surfaces which open on the Wilson loop. It is shown that in contrast to center vortices the…

High Energy Physics - Lattice · Physics 2008-01-03 M. I. Polikarpov , P. V. Buividovich

We present non-perturbative results for U(1) gauge theory in spaces, which include a non-commutative plane. In contrast to the commutative space, such gauge theories involve a Yang-Mills term, and the Wilson loop is complex on the…

High Energy Physics - Theory · Physics 2015-06-26 W. Bietenholz , A. Bigarini , F. Hofheinz , J. Nishimura , Y. Susaki , J. Volkholz

We study the four-dimensional SU(3) gauge model with a fundamental and an adjoint plaquette term in the action. We investigate whether corrections to scaling can be reduced by using a negative value of the adjoint coupling. To this end, we…

High Energy Physics - Lattice · Physics 2009-11-10 M. Hasenbusch , S. Necco

In this letter we study the dilatonic corrections to the static gauge potential between heavy sources. These corrections come from the solutions to the the lowest order beta equations. In the energetically favoured branch, the potential…

High Energy Physics - Theory · Physics 2015-06-25 Juan Jose Manjarin

We set up a procedure to systematically obtain Compton-like amplitudes in an arbitrary-spin theory, exploiting their factorization properties, and colour-kinematics duality. We furthermore investigate the constraining of Wilson coefficients…

High Energy Physics - Theory · Physics 2025-03-31 Ingrid Vazquez-Holm , Andres Luna

The static potentials for quark-antiquark-gluon and 3-gluon systems are computed with lattice QCD methods. For the quark-antiquark-gluon hybrid meson the static potential is obtained for different values of the angle between the quark-gluon…

High Energy Physics - Lattice · Physics 2009-05-27 Marco Cardoso , Pedro Bicudo , Orlando Oliveira

We compute hybrid static potentials in SU(2) lattice gauge theory using a multilevel algorithm and three different small lattice spacings. The resulting static potentials, which are valid for quark-antiquark separations as small as 0.05 fm,…

High Energy Physics - Lattice · Physics 2020-08-28 Carolin Riehl , Marc Wagner

We study the SU(3) lattice gauge theory, with two flavors of sextet Wilson-clover fermions, near its finite-temperature phase transition. We find metastable states that have Wilson line expectation values whose complex phases are near 2pi/3…

High Energy Physics - Lattice · Physics 2010-01-27 Olga Machtey , Benjamin Svetitsky

A modified Wilson action which suppresses plaquettes which take negative values is used to study the scaling behavior of the string tension. The use of the $\b_E$ scheme gives good agreement with asymptotic two loop results.

High Energy Physics - Lattice · Physics 2009-10-22 J. Ambjorn , G. Thorleifsson

It is shown that a Coulomb potential using a running coupling slightly modified from the perturbative form can produce an interquark potential that appears nearly linear over a large distance range. Recent high-statistics SU(2) lattice…

High Energy Physics - Lattice · Physics 2009-10-22 M. Grady

This article gives a rigorous formulation and proof of the $1/N$ expansion for Wilson loop expectations in strongly coupled $SU(N)$ lattice gauge theory in any dimension. The coefficients of the expansion are represented as absolutely…

Probability · Mathematics 2016-10-13 Jafar Jafarov

We study the distribution of the color fields due to a static quark-antiquark pair in SU(2) lattice gauge theory. We find evidence of dual Meissner effect. We put out a simple relation between the penetration length and the string tension.

High Energy Physics - Lattice · Physics 2009-10-28 Paolo Cea , Leonardo Cosmai

We reconsider the perturbative expansion of the Wilson loop in 2d noncommutative gauge theories, using an improved integration method. For the class of maximally crossed diagrams in the $\theta \to \infty$ limit we find an intriguing…

High Energy Physics - Theory · Physics 2015-05-14 Paolo Valtancoli

We study planar gluon scattering amplitudes and Wilson loops in non-commutative gauge theory. Our main results are: 1. We find the map between observables in non-commutative gauge theory and their holographic dual. In that map, the region…

High Energy Physics - Theory · Physics 2009-04-17 Amit Sever

We report about a recently started project with the aim to compute hybrid static potentials using lattice gauge theory. First preliminary results for pure SU(2) Yang-Mills theory are presented.

High Energy Physics - Lattice · Physics 2015-06-23 Philipp Wolf , Marc Wagner

We investigate the relationship between colour confinement and the gauge independent Cho-Duan-Ge Abelian decomposition. The decomposition is defined in terms of a colour field $n$; the principle novelty of our study is that we have defined…

High Energy Physics - Lattice · Physics 2015-06-24 Nigel Cundy , Y. M. Cho , Weonjong Lee

We investigated SU(3) lattice gauge theory with a fundamental and adjoint plaquette term in the action. The purpose is to test whether the choice of a negative adjoint coupling can reduce lattice artefacts and improve the scaling b…

High Energy Physics - Lattice · Physics 2009-11-10 Martin Hasenbusch , Silvia Necco

We explore a novel approach to compute the force between a static quark and a static antiquark with lattice gauge theory directly. The approach is based on expectation values of Wilson loops or Polyakov loops with chromoelectric field…

High Energy Physics - Lattice · Physics 2022-04-06 Nora Brambilla , Viljami Leino , Owe Philipsen , Christian Reisinger , Antonio Vairo , Marc Wagner

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 consider the interaction between two static sources in the colour octet configuration and compute the potential to three loops. Special emphasis is put on the treatment of pinch contributions and two methods are applied to reduce their…

High Energy Physics - Phenomenology · Physics 2015-06-16 Chihaya Anzai , Mario Prausa , Alexander V. Smirnov , Vladimir A. Smirnov , Matthias Steinhauser
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