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We present results on the spin-independent quark-antiquark potential in SU(3) gauge theory from a simulation on a 48^3*64 lattice at Beta = 6.8, corresponding to a volume of (1.7 fm)^3. Moreover, a comprehensive analysis of spin- and…

High Energy Physics - Lattice · Physics 2016-11-03 Gunnar S. Bali , Klaus Schilling , Armin Wachter

We use the results of recent lattice calculations to obtain (part of) the mass spectrum of continuum SU(2) gauge theory in both 2+1 and 3+1 dimensions. We compare these spectra to the predictions of the Isgur-Paton flux tube model for…

High Energy Physics - Lattice · Physics 2009-09-25 T. Moretto , M. Teper

We present non-perturbative results of the Casimir potential in non-abelian SU(3) gauge theory in (2+1)D and (3+1)D in the confined and deconfined phase. For the first time, geometries beyond parallel plates in (3+1)D are explored and we…

High Energy Physics - Lattice · Physics 2025-09-30 B. A. Ngwenya , A. K. Rothkopf , W. A. Horowitz

We present a one-loop calculation of the static potential in the SU(2)-Higgs model. The connection to the coupling constant definition used in lattice simulations is clarified. The consequences in comparing lattice simulations and…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Piroth

Further evidence is presented for the existence of a non-confining phase at weak coupling in SU(2) lattice gauge theory. Using Monte Carlo simulations with the standard Wilson action, gauge-invariant SO(3)-Z2 monopoles, which are…

High Energy Physics - Lattice · Physics 2015-06-16 Michael Grady

We study the static potential between electric charges in the finite temperature three dimensional compact gauge theory on the lattice. We show that in the deconfinement phase at small separations between the charges the potential contains…

High Energy Physics - Lattice · Physics 2009-10-31 B. L. G. Bakker , M. N. Chernodub , A. I. Veselov

{}From an accurate determination of the inter-quark potential, one can study the running coupling constant for a range of $R$-values and hence estimate the scale $\Lambda_{\msbar} $. Detailed results are presented for $SU(3)$ pure gauge…

High Energy Physics - Lattice · Physics 2011-02-19 The UKQCD Collaboration , S. P. Booth , D. S. Henty , A. Hulsebos , A. C. Irving , C. Michael , P. W. Stephenson

We present the analysis of the static potential extracted from Wilson loops measured on CLS ensembles generated with Wilson gauge action and Nf=2 flavors of O(a) improved Wilson quarks at three different lattice spacings and a range of…

High Energy Physics - Lattice · Physics 2012-02-14 Francesco Knechtli , Björn Leder

We discuss possibilities and problems to non-perturbatively define and compute a static color triplet potential in SU(2) gauge theory. Numerical lattice results are presented and compared to analytical perturbative results.

High Energy Physics - Lattice · Physics 2012-11-12 Marc Wagner , Owe Philipsen

We present results for the static potential in the confinement phase of the SU(2) Higgs model on the lattice. Introducing a suitable matrix correlation function we observe string breaking at a distance r_b ~ 1.8 r_0, where the length scale…

High Energy Physics - Lattice · Physics 2009-10-31 F. Knechtli

Through a detailed investigation of the $SU(3)$ gauge theory at finite temperature on lattices of various size we can control finite lattice cut-off effects in bulk thermodynamic quantities. We calculate the pressure and energy density of…

High Energy Physics - Lattice · Physics 2009-10-28 G. Boyd , J. Engels , F. Karsch , E. Laermann , C. Legeland , M. Lütgemeier , B. Petersson

We present new results on the static qq-potential from high statistics simulations on 32^4 and smaller lattices, using the standard Wilson beta = 6.0, 6.4, and 6.8. Within our statistical errors we do not observe any finite size effects…

High Energy Physics - Lattice · Physics 2016-08-31 Gunnar S. Bali , Klaus Schilling

We consider the three dimensional SU(2) Yang-Mills theory with adjoint static color sources, studying by lattice simulations how the shape of the flux tube changes when increasing the distance between them. The disappearance of the flux…

High Energy Physics - Lattice · Physics 2020-05-21 Claudio Bonati , Silvia Morlacchi

Recently the Yang-Mills gradient flow of pure SU(3) lattice gauge theory has been calculated in the range from $\beta=6/g_0^2=6.3$ to~7.5 (Asakawa et al.), where $g_0^2$ is the bare coupling constant of the SU(3) Wilson action. Estimates of…

High Energy Physics - Lattice · Physics 2015-09-16 Bernd A. Berg

The potential between sources in arbitrary representations of the gauge group is studied on an anisotropic lattice in a spherical model approximation. It is shown analytically that for half-integer $j$ and $j'$ in the confinement phase the…

High Energy Physics - Lattice · Physics 2007-05-23 A. A. Darmohval , V. K. Petrov , G. M. Zinovjev

We study decomposition of $SU(2)$ gauge field into monopole and monopoleless components. After fixing the Maximal Abelian gauge in $SU(2)$ lattice gauge theory we decompose the nonabelian gauge field into the Abelian field created by…

High Energy Physics - Lattice · Physics 2022-04-13 V. G. Bornyakov , I. Kudrov , R. N. Rogalyov

Flux tube spectra are expected to have full towers of levels due to the quantization of the string vibrations. We study a spectrum of flux tubes with static quark and antiquark sources with pure gauge $SU(3)$ lattice QCD in 3+1 dimensions…

High Energy Physics - Lattice · Physics 2022-02-16 Pedro Bicudo , Nuno Cardoso , Alireza Sharifian

I report on the status of a computation of fundamental and some higher representation string tensions in pure gauge SU(3). An order a^2 tadpole improved action and an anisotropic lattice are used. At present, the static quark potentials and…

High Energy Physics - Lattice · Physics 2009-10-31 Sedigheh Deldar

We study the static three-quark (3Q) potential in detail using SU(3) lattice QCD with $12^3 \times 24$ at $\beta=5.7$ and $16^3 \times 32$ at $\beta=5.8, 6.0$ at the quenched level. For more than 200 patterns of the 3Q systems, we…

High Energy Physics - Lattice · Physics 2009-11-07 T. T. Takahashi , H. Suganuma , H. Matsufuru , Y. Nemoto

In this paper (the second of a series) we extend our calculation of a classical fixed point action for lattice $SU(3)$ pure gauge theory to include gauge configurations with large fluctuations. The action is parameterized in terms of closed…

High Energy Physics - Lattice · Physics 2009-10-28 T. DeGrand , A. Hasenfratz , P. Hasenfratz , F. Niedermayer