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Following the procedure and motivations developed by Richardson, Buchmuller and Tye, we derive the potential of static quarks consistent with both the three-loop running of QCD coupling constant under the two-loop perturbative matching of V…

High Energy Physics - Phenomenology · Physics 2011-07-19 V. V. Kiselev , A. E. Kovalsky , A. I. Onishchenko

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 study the color correlation between static quark and antiquark ($q\bar q$) in the confined phase via reduced density matrices $\rho$ defined in color space. We adopt the standard Wilson gauge action and perform quenched calculations with…

High Energy Physics - Lattice · Physics 2019-12-11 Toru T. Takahashi , Yoshiko Kanada-En'yo

The complete expression of the heavy quark-antiquark potential up to order $1/m^2$ is known from QCD in terms of Wilson loop expectation values. We use that expression and a mapping, assumed to be valid at large distances, between Wilson…

High Energy Physics - Phenomenology · Physics 2015-01-07 Nora Brambilla , Michael Groher , Hector E. Martinez , Antonio Vairo

We study the static three quark potential using lattice QCD simulation. At zero temperature, the three quark potential is extracted from the baryonic Wilson loop and fitted to the phenomenological form, the sum of the Coulomb term, linearly…

High Energy Physics - Lattice · Physics 2009-10-31 H. Matsufuru , Y. Nemoto , H. Suganuma , T. T. Takahashi , T. Umeda

The static potential in the confinement ``phase'' of the SU(2) Higgs model is studied. In particular, the observation of the screening (called string breaking) of the static quarks by the dynamical light quarks leading to the formation of…

High Energy Physics - Lattice · Physics 2007-05-23 F. Knechtli

The eigenvalue spectrum $\rho(\lambda)$ of the Dirac operator is numerically calculated in lattice QCD with 2+1 flavors of dynamical domain-wall fermions. In the high-energy regime, the discretization effects become significant. We subtract…

High Energy Physics - Lattice · Physics 2018-07-11 Katsumasa Nakayama , Hidenori Fukaya , Shoji Hashimoto

We numerically investigate the transition of the static quark-antiquark string into a static-light meson-antimeson system. Improving noise reduction techniques, we are able to resolve the signature of string breaking dynamics for Nf=2…

High Energy Physics - Lattice · Physics 2009-11-11 Gunnar S Bali , Thomas Dussel , Thomas Lippert , Hartmut Neff , Zdravko Prkacin , Klaus Schilling

We compute the $\Pi_u$ and $\Sigma_u^-$ hybrid static potentials in SU(3) lattice gauge theory using four different lattice spacings ranging from $a = 0.040\,\text{fm}$ to $a = 0.093\,\text{fm}$. We provide lattice data points for…

High Energy Physics - Lattice · Physics 2022-03-14 Carolin Schlosser , Marc Wagner

For the first time, centre vortices are identified on SU(3) lattice ensembles that include dynamical fermions. Using a variational method, the static quark potential is calculated on untouched, vortex-removed, and vortex-only fields. Two…

High Energy Physics - Lattice · Physics 2022-06-03 James Biddle , Waseem Kamleh , Derek Leinweber

We summarize our recent lattice gauge theory computation of the $\Pi_u$ and $\Sigma_u^-$ hybrid static potentials at small quark-antiquark separations. We provide parameterizations of the resulting lattice data points, which can be used for…

High Energy Physics - Lattice · Physics 2021-12-06 Carolin Schlosser , Marc Wagner

The holographic heavy quark potential is investigated via holographic Wilson loops in the AdS soliton with gauge potential. We analyze two types of holographic Wilson loops. {In the first type, holographic heavy quark potential shows the…

High Energy Physics - Theory · Physics 2026-03-20 Bing Chen , Xun Chen , Mitsutoshi Fujita , Jun Zhang

Progress in computing the spectrum of excited baryons and mesons in lattice QCD is described. Large sets of spatially-extended hadron operators are used. The need for multi-hadron operators in addition to single-hadron operators is…

High Energy Physics - Lattice · Physics 2011-11-04 John Bulava , Justin Foley , You-Cyuan Jhang , Keisuke J. Juge , David Lenkner , Colin Morningstar , Chik Him Wong

The spin-dependent corrections to the static inter-quark potential are phenomenologically relevant to describing the fine and hyperfine spin splitting of the heavy quarkonium spectra. We investigate these corrections, which are represented…

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

We report results on the static quark potential in two-flavor full QCD. The calculation is performed for three values of lattice spacing $a^{-1}\approx 0.9, 1.3$ and 2.5 GeV on $12^3{\times}24, 16^3{\times}32$ and $24^3{\times}48$ lattices…

In a framework that makes close contact with modern effective field theories for non-relativistic bound states at zero temperature, we study the real-time evolution of a static quark-antiquark pair in a medium of gluons and light quarks at…

High Energy Physics - Phenomenology · Physics 2008-11-26 Nora Brambilla , Jacopo Ghiglieri , Peter Petreczky , Antonio Vairo

We measure the static three-quark potential in SU(3) lattice gauge theory with improved accuracy, by using all available technical refinements, including Luscher-Weisz exponential variance reduction. Together with insight gained from…

High Energy Physics - Lattice · Physics 2009-11-07 C. Alexandrou , Ph. de Forcrand , O. Jahn

We give the analytical expressions and numerical values of radiative corrections to the covariant derivative operator on the static quark line, used for the lattice calculation of the Isgur-Wise form factors $\tau_{1/2}(1)$ and…

High Energy Physics - Lattice · Physics 2009-11-11 B. Blossier , A. Le Yaouanc , V. Morenas , O Pene

We present first results of a recently started lattice QCD investigation of antiheavy-antiheavy-light-light tetraquark systems including scattering interpolating operators in correlation functions both at the source and at the sink. In…

High Energy Physics - Lattice · Physics 2022-10-18 Marc Wagner , Constantia Alexandrou , Jacob Finkenrath , Theodoros Leontiou , Stefan Meinel , Martin Pflaumer

This paper considers the comparison between the eigenvalues of Laplace operators with the standard conditions and the anti-standard conditions on non-bipartite graphs which are equilateral or inequilateral. First of all, we show the…

Spectral Theory · Mathematics 2021-02-23 Hongjun Wang , Hongmei Song , Jia Zhao
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