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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…

高能物理 - 格点 · 物理学 2008-11-26 Yoshiaki Koma , Miho Koma , Hartmut Wittig

We test the capability of state-of-the-art lattice techniques for a precise determination of relativistic corrections to the static interquark potential, by use of SU(2) gauge theory. Emphasis is put on the short range structure of the spin…

高能物理 - 格点 · 物理学 2009-10-28 Gunnar S. Bali , Klaus Schilling , Armin Wachter

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…

高能物理 - 格点 · 物理学 2008-11-26 Yoshiaki Koma , Miho Koma

For the first time, we determine the complete spin- and momentum-dependent order v^2 corrections to the static interquark potential from simulations of QCD in the valence quark approximation at inverse lattice spacings of 2-3 GeV. A new…

高能物理 - 格点 · 物理学 2014-11-17 Gunnar S. Bali , Klaus Schilling , Armin Wachter

The relativistic correction to the QCD static inter-quark potential at O(1/m) is investigated nonperturbatively for the first time by using lattice Monte Carlo QCD simulations. The correction is found to be comparable with the Coulombic…

高能物理 - 格点 · 物理学 2007-05-23 Yoshiaki Koma , Miho Koma , Hartmut Wittig

The spin-dependent corrections to the static interquark potential are relevant to describing the fine and hyper-fine splittings of the heavy quarkonium spectra. We investigate these corrections in SU(3) lattice gauge theory with the…

高能物理 - 格点 · 物理学 2007-05-23 Miho Koma , Yoshiaki Koma , Hartmut Wittig

The charmonium and bottomonium mass spectra are investigated in potential nonrelativistic QCD (pNRQCD) with the heavy quark potential computed by lattice QCD simulations. The potential consists of a static potential and relativistic…

高能物理 - 格点 · 物理学 2012-12-10 Yoshiaki Koma , Miho Koma

We present selected preliminary lattice gauge theory results for $O(1/m_Q)$ and $O(1/m_Q^2)$ corrections to the static potential. These results are based on Wilson loops with two field strength insertions, which we renormalize using…

高能物理 - 格点 · 物理学 2024-11-19 Michael Eichberg , Marc Wagner

We consider the ${\mathcal O}(1/m)$ and the spin-independent momentum-dependent ${\mathcal O}(1/m^2)$ quasi-static energies of heavy quarkonium (with unequal masses). They are defined nonperturbatively in terms of Wilson loops. We determine…

高能物理 - 唯象学 · 物理学 2017-10-18 Clara Peset , Antonio Pineda , Maximilian Stahlhofen

We present results from an ongoing project concerned with the computation of $\mathcal{O}(1/m_Q)$ and $\mathcal{O}(1/m_Q^2)$ relativistic corrections to the static potential. These corrections are extracted from Wilson loops with two…

高能物理 - 格点 · 物理学 2023-11-21 Michael Eichberg , Marc Wagner

We construct an improved version of nonrelativistic QCD for use in lattice simulations of heavy quark physics, with the goal of reducing systematic errors from all sources to below 10\%. We develop power counting rules to assess the…

高能物理 - 格点 · 物理学 2010-11-01 G. P. Lepage , L. Magnea , C. Nakhleh , U. Magnea , K. Hornbostel

We construct a nonrelativistic effective field theory description of heavy quarkonium hybrids from QCD. We identify the symmetries of the system made of a heavy quark, a heavy antiquark, and glue in the static limit. Corrections to this…

高能物理 - 唯象学 · 物理学 2015-12-23 Matthias Berwein , Nora Brambilla , Jaume Tarrus Castella , Antonio Vairo

Lattice QCD should allow quantitative predictions for the heavy quark physics from first principles. Up to now, however, most approaches have based on the nonrelativistic effective theory, with which the continuum limit can not be taken in…

高能物理 - 格点 · 物理学 2014-11-17 Sinya Aoki , Yoshinobu Kuramashi , Shin-ichi Tominaga

We investigate higher order effects in the nonrelativistic expansion of lattice QCD on the heavy-light meson decay constants and some other quantities in order to understand the truncation error of NRQCD. While our numerical results have…

高能物理 - 格点 · 物理学 2011-01-27 N. Yamada , S. Hashimoto , K-I. Ishikawa , H. Matsufuru , T. Onogi

We review a relativistic approach to the heavy quark physics in lattice QCD by applying a relativistic $O(a)$ improvement to the massive Wilson quark action on the lattice. After explaining how power corrections of $m_Q a$ can be avoided…

高能物理 - 格点 · 物理学 2007-05-23 S. Aoki , Y. Kayaba , Y. Kuramashi , N. Yamada

Using a new type of simulation algorithm for the standard SU(3) lattice gauge theory that yields results with unprecedented precision, we confirm the presence of a $\gamma/r$ correction to the static quark potential at large distances $r$,…

高能物理 - 格点 · 物理学 2010-02-03 Martin Lüscher , Peter Weisz

We develop a procedure to analytically calculate higher-order contributions to the high-temperature real-time static potential in QCD. It is based on the introduction of a semi-hard external scale, which lies between the hard scale (the…

高能物理 - 唯象学 · 物理学 2025-09-30 Margaret E. Carrington , Cristina Manuel , Joan Soto

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,…

高能物理 - 格点 · 物理学 2020-08-28 Carolin Riehl , Marc Wagner

We present the perturbative results of the discretization errors proportional to the quark mass ($\mathcal{O}(a m)$) on the QCD running coupling within lattice perturbation theory. Our analysis involves calculating the 2-loop…

高能物理 - 格点 · 物理学 2025-12-01 Marios Costa , Demetrianos Gavriel , Haralambos Panagopoulos , Gregoris Spanoudes

We study the scaling properties of the static quark potential and the ratio of the critical temperature $T_c$ to the square root of the string tension $\sigma$ in the SU(3) pure gauge theory using a renormalization group improved action. We…

高能物理 - 格点 · 物理学 2016-08-15 Y. Iwasaki , K. Kanaya , T. Kaneko , T. Yoshié
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