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Related papers: Static quark potential and string tension for comp…

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We present results of a detailed investigation of the temperature dependence of the spatial string tension in SU(2) gauge theory. We show, for the first time, that the spatial string tension is scaling on the lattice and thus is…

High Energy Physics - Lattice · Physics 2009-07-09 G. S. Bali , J. Fingberg , U. M. Heller , F. Karsch , K. Schilling

We describe the Wuppertal university pilot project in applied parallel computing. We report on a comprehensive high statistics determination of the static quark-antiquark potential and related quantities from quenched quantum…

High Energy Physics - Lattice · Physics 2011-04-15 K. Schilling , G. S. Bali

In this paper, we examine a compact $U(1)$ lattice gauge theory in $(2+1)$ dimensions and present a strategy for studying the running coupling and extracting the non-perturbative $\Lambda$-parameter. To this end, we combine Monte Carlo…

High Energy Physics - Lattice · Physics 2024-06-13 Arianna Crippa , Simone Romiti , Lena Funcke , Karl Jansen , Stefan Kühn , Paolo Stornati , Carsten Urbach

We calculate the mass spectra and string tensions of SU(2), SU(3), SU(4) and SU(5) gauge theories in 2+1 dimensions. We do so by simulating the corresponding lattice theories and then extrapolating dimensionless mass ratios to the continuum…

High Energy Physics - Lattice · Physics 2009-10-31 M. Teper

In the standard model the running quartic coupling becomes negative during its renormalization group flow, which destabilizes the vacuum. We consider U(1) extensions of the standard model, with an extra complex scalar field and a…

High Energy Physics - Phenomenology · Physics 2019-02-11 Zoltán Péli , Zoltán Trócsányi

We investigate the relativistic corrections to the static potential, i.e. the O(1/m) potential and the O(1/m^2) velocity-dependent potentials, in SU(3) lattice gauge theory. They are important ingredients of potential nonrelativistic QCD…

High Energy Physics - Lattice · Physics 2008-11-26 Yoshiaki Koma , Miho Koma , Hartmut Wittig

The small-scale structure of a string connecting a pair of static sources is explored for the weakly-coupled anisotropic SU(2) Yang-Mills theory in (2+1) dimensions. A crucial ingredient in the formulation of the string Hamiltonian is the…

High Energy Physics - Theory · Physics 2008-11-26 Peter Orland

We study U(1) gauge theory on a 4d non-commutative torus, where two directions are non-commutative. Monte Carlo simulations are performed after mapping the regularized theory onto a U(N) lattice gauge theory in d=2. At intermediate coupling…

High Energy Physics - Theory · Physics 2009-11-13 J. Nishimura , W. Bietenholz , Y. Susaki , J. Volkholz

We study the potential of a static quark anti-quark pair in the range 0.05fm \leq r \leq 0.8fm, employing a sequence of lattices up to 64^4. Lattice artifacts in potential and force are investigated theoretically as well as numerically and…

High Energy Physics - Lattice · Physics 2014-11-17 Silvia Necco , Rainer Sommer

We study the dynamics of SU(2) gauge theory with NF=6 Dirac fermions by means of lattice simulation to investigate if they are appropriate to realization of electroweak symmetry breaking. The discrete analogue of beta function for the…

High Energy Physics - Lattice · Physics 2012-10-19 M. Hayakawa , K. -I. Ishikawa , Y. Osaki , S. Takeda , N. Yamada

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 report recent results of a non-perturbative determination of the static heavy-quark potential in quenched and dynamical lattice QCD at finite temperature. The real and imaginary part of this complex quantity are extracted from the…

High Energy Physics - Lattice · Physics 2014-11-13 Yannis Burnier , Olaf Kaczmarek , Alexander Rothkopf

The analytical expressions and the numerical values of the renormalisation constants of dimension 3 static-light currents are given at one-loop order of perturbation theory in the framework of Heavy Quark Effective Theory and with an…

High Energy Physics - Lattice · Physics 2013-05-29 Benoit Blossier

We perform the first study for the static penta-quark (5Q) potential in lattice QCD with $\beta$=6.0 and $16^3 \times 32$ at the quenched level. Accurate results of the 5Q potential are extracted from the 5Q Wilson loop using the smearing…

High Energy Physics - Lattice · Physics 2017-08-23 Fumiko Okiharu , Hideo Suganuma , Toru T. Takahashi

Recent numerical studies of the 4D pure compact U(1) lattice gauge theory, I have participated in, are reviewed. We look for a possibility to construct an interesting nonperturbatively renormalizable continuum theory at the phase transition…

High Energy Physics - Lattice · Physics 2007-05-23 J. Jersak

A systematic investigation of Symanzic improvement in the gauge field action is performed for the static quark potential in quenched QCD. We consider Symanzik improved gauge field configurations on a 16^3 X 32 lattice with a relatively…

High Energy Physics - Lattice · Physics 2007-05-23 Frederic D. R. Bonnet , Derek B. Leinweber , Anthony G. Williams , James M. Zanotti

We calculate the string tensions of $k$-strings in SU($N$) gauge theories in both 3 and 4 dimensions. In D=3+1, we find that the ratio of the $k=2$ string tension to the $k = 1$ fundamental string tension is consistent, at the $2 \sigma$…

High Energy Physics - Lattice · Physics 2009-11-07 B. Lucini , M. Teper

We investigate consequences of the effective colour-dielectric formulation of lattice gauge theory using the light-cone Hamiltonian formalism with a transverse lattice (hep-ph/9704408). As a quantitative test of this approach, we have…

High Energy Physics - Theory · Physics 2007-05-23 B. van de Sande , S. Dalley

We show the running coupling as derived from the SU(3) QQ potential and discuss preliminary results on spin dependent heavy quark potentials from high statistics lattice simulations of SU(2) gauge theory. The precision suffices to study…

High Energy Physics - Lattice · Physics 2007-05-23 G. S. Bali , K. Schilling , C. Schlichter , A. Wachter

The static gluon-quark-antiquark interaction is investigated using lattice QCD techniques. A Wilson loop adequate to the static hybrid three-body system is developed and, using a $24^3 \times 48$ periodic lattice with $\beta = 6.2$, the…

High Energy Physics - Lattice · Physics 2009-04-14 Marco Cardoso , Pedro Bicudo , Orlando Oliveira