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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…

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

The relativistic corrections to the static potential, i.e. the O(1/m) correction, the O(1/m^2) spin-dependent and momentum-dependent corrections are investigated in SU(3) lattice gauge theory. These corrections are relevant ingredients of…

High Energy Physics - Lattice · Physics 2010-11-05 Yoshiaki Koma , Miho Koma

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…

High Energy Physics - Lattice · Physics 2012-12-10 Yoshiaki Koma , Miho Koma

While lattice QCD allows for reliable results at small momentum transfers (large quark separations), perturbative QCD is restricted to large momentum transfers (small quark separations). The latter is determined up to a reference momentum…

High Energy Physics - Phenomenology · Physics 2018-12-18 Felix Karbstein , Marc Wagner , Michelle Weber

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…

High Energy Physics - Lattice · Physics 2014-11-17 Gunnar S. Bali , Klaus Schilling , Armin Wachter

The leading non-perturbative contribution to the static QCD potential at r << 1/Lambda_QCD is known to be O(r^2) in operator-product expansion. It indicates that a "Coulomb+linear" potential at r <~ 1/Lambda_QCD is included in the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Y. Sumino

This lecture provides an introduction to quantum chromodynamics (QCD) on the lattice. The continuum limit and Monte Carlo simulations are briefly discussed. Different facets of QCD are nicely exhibited by the potential of a static quark and…

High Energy Physics - Lattice · Physics 2017-06-02 Francesco Knechtli

We show analytically that the QCD potential can be expressed, up to an O(Lambda_QCD^3 r^2) uncertainty, as the sum of a ``Coulomb'' potential (with log corrections at short distances) and a linear potential, within an approximation based on…

High Energy Physics - Phenomenology · Physics 2009-11-10 Y. Sumino

A general strategy to solve the non-perturbative renormalization problem in lattice QCD, using finite-size techniques and numerical simulations, is described. As an illustration we discuss the computation of the axial current normalization…

High Energy Physics - Lattice · Physics 2009-10-28 Karl Jansen , Chuan Liu , Martin Luescher , Hubert Simma , Stefan Sint , Rainer Sommer , Peter Weisz , Ulli Wolff

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…

High Energy Physics - Lattice · Physics 2009-10-28 Gunnar S. Bali , Klaus Schilling , Armin Wachter

The heavy quark-antiquark potential in perturbative QCD is subject to ambiguities. We show how to derive a well-defined and stable short-distance potential that can be matched to results from lattice QCD simulations at intermediate…

High Energy Physics - Phenomenology · Physics 2009-06-25 Alexander Laschka , Norbert Kaiser , Wolfram Weise

We show that the O(Lambda) ambiguity in the pole mass can be fixed in a natural way by introducing a modified nonperturbative V-scheme momentum space coupling tilde-alphaV(q) where the confining contributions have been subtracted out. The…

High Energy Physics - Phenomenology · Physics 2009-11-10 Georges Grunberg

We compute the M theory corrections to the confining linear potential between a quark and an anti-quark in N=1 Super Yang-Mills theory. We find a constant term, and a term exponentially small with characteristic length of…

High Energy Physics - Theory · Physics 2009-10-31 Y. Kinar , E. Schreiber , J. Sonnenschein

We report on our results from a fully relativistic simulation of the quenched bottomonium spectrum. Using an anisotropic formulation of Lattice QCD, we were able to retain a very fine resolution into the temporal direction for a range of…

High Energy Physics - Lattice · Physics 2007-05-23 X. Liao , T. Manke

The structure of leading nonperturbative corrections to the static Coulomb potential in QCD at small distances is analyzed. We argue in favor of the correction linearly dependent on distance and remark that lattice measurements of static…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. I. Shevchenko

We demonstrate that lattice QCD calculations can be made $10^3$--$10^6$ times faster by using very coarse lattices. To obtain accurate results, we replace the standard lattice actions by perturbatively-improved actions with tadpole-improved…

High Energy Physics - Lattice · Physics 2009-10-28 M. Alford , W. Dimm , G. P. Lepage , G. Hockney , P. B. Mackenzie

We study an interquark QQ^bar potential for the charmonium system, that is determined from the the equal-time and Coulomb gauge QQ^bar Bethe-Salpeter (BS) wavefunction through the effective Schr\"odinger equation. This novel approach…

High Energy Physics - Lattice · Physics 2015-06-03 Taichi Kawanai , Shoichi Sasaki

We discuss non perturbative corrections to the Coulomb-like potential of heavy quarks at short distances. We consider both the standard framework provided by infrared renormalons and the assumption that confinement does not allow weak…

High Energy Physics - Phenomenology · Physics 2014-11-17 R. Akhoury , V. I. Zakharov

We present a self consistent approach to Coulomb gauge Hamiltonian QCD which allows one to relate single gluon spectral properties to the long range behavior of the confining interaction. Nonperturbative renormalization is discussed. The…

High Energy Physics - Phenomenology · Physics 2008-11-26 Adam P. Szczepaniak , Eric S. Swanson

We investigate the effects of including the full three-loop QCD correction to the static short distance $1/r$ potential on the spectroscopy and decays in the charmonium and upsilon systems. We use a variational technique with the full…

High Energy Physics - Phenomenology · Physics 2013-08-28 Wayne W. Repko , Marco D. Santia , Stanley F. Radford
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