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The potential between infinitely heavy quarks in a color singlet state is of fundamental importance in QCD. While the confining long distance part is inherently non-perturbative, the short-distance (Coulomb-like) regime is accessible…

High Energy Physics - Phenomenology · Physics 2009-10-31 Michael Melles

Energies of four-quark systems have been extracted in a quenched SU(2) lattice Monte Carlo calculation for two different geometries, rectangular and colinear, with $\beta=2.4$ and lattice size $16^3\times 32$. Also, by going to a lattice…

High Energy Physics - Lattice · Physics 2008-11-26 A. M. Green , C. Michael , J. E. Paton , M. E. Sainio

The resolution of Dyson-Schwinger equations leads to the freezing of the QCD running coupling (effective charge) in the infrared, which is best understood as a dynamical generation of a gluon mass function, giving rise to a momentum…

High Energy Physics - Phenomenology · Physics 2015-05-30 P. Gonzalez , V. Mathieu , V. Vento

Using SU(3) lattice QCD, we perform the detailed studies of the three-quark and the multi-quark potentials. From the accurate calculation for more than 300 different patterns of 3Q systems, the static ground-state 3Q potential $V_{\rm…

High Energy Physics - Lattice · Physics 2008-11-26 Hideo Suganuma , Hiroko Ichie , Fumiko Okiharu , Toru T. Takahashi

We present results for QCD with 2 degenerate flavours of quark using a non-perturbatively improved action on a lattice volume of $16^3\times32$ where the bare gauge coupling and bare dynamical quark mass have been chosen to maintain a fixed…

High Energy Physics - Lattice · Physics 2009-10-31 Alan C. Irving , UKQCD Collaboration

We pursue a new method, based on lattice QCD, for determining the quantities $\bar{\Lambda}$, $\lambda_1$, and $\lambda_2$ of heavy-quark effective theory. We combine Monte Carlo data for the meson mass spectrum with perturbative…

High Energy Physics - Phenomenology · Physics 2009-10-31 Andreas S. Kronfeld , James N. Simone

We study the static three-quark (3Q) potential for more than 300 different patterns of 3Q systems with high statistics, i.e., 1000-2000 gauge configurations, in SU(3) lattice QCD at the quenched level. For all the distances, the 3Q…

High Energy Physics - Lattice · Physics 2016-07-21 Hideo Suganuma , Naoyuki Sakumichi

In the context of the dual superconductor picture for the confinement mechanism, we study maximally Abelian (MA) projection of quark confinement in SU(3) quenched lattice QCD with $32^4$ at $\beta$=6.4 (i.e., $a \simeq$ 0.058 fm). We…

High Energy Physics - Lattice · Physics 2015-12-17 Hideo Suganuma , Naoyuki Sakumichi

Lattice Gauge Theory enables an ab initio study of the low-energy properties of Quantum Chromodynamics, the theory of the strong interaction. I begin these lectures by presenting the lattice formulation of QCD, and then outline the…

Nuclear Theory · Physics 2017-08-23 D. G. Richards

We investigate the masses of the light quarks with lattice QCD. We show that most of the large dependence on the lattice spacing, a, observed in previous determinations using Wilson fermions is removed with the use of an O(a) corrected…

This lecture note presents a self-contained introduction to the theory of a heavy quark-antiquark ($Q\bar{Q}$) system in terms of perturbative QCD. The lecture is intended for non-experts, such as graduate course students. The heavy…

High Energy Physics - Phenomenology · Physics 2014-12-01 Y. Sumino

We present a determination of the strong coupling constant and heavy quark masses in (2+1)-flavor QCD using lattice calculations of the moments of the pseudo-scalar quarkonium correlators at several values of the heavy valence quark mass…

High Energy Physics - Lattice · Physics 2019-09-10 P. Petreczky , J. H. Weber

I outline the basic strategies for the computation of charm and bottom quark masses by means of lattice QCD, where particular emphasis is placed on the non-perturbative renormalization of the effective theory for the b-quark in heavy-light…

High Energy Physics - Lattice · Physics 2011-01-27 Jochen Heitger

We investigate the problem of extracting a static potential between a quark and its antiquark in a quark-gluon plasma (QGP) from lattice-QCD computations of the singlet free energy, $F_{Q\bar{Q}}(r)$. We utilize the thermodynamic $T$-matrix…

High Energy Physics - Phenomenology · Physics 2015-02-02 Shuai Y. F. Liu , Ralf Rapp

Quark number susceptibilities as computed in lattice QCD are commonly believed to provide insights into the microscopic structure of QCD matter, in particular its degrees of freedom. We generalize a previously constructed partonic…

High Energy Physics - Phenomenology · Physics 2022-11-30 Shuai Y. F. Liu , Ralf Rapp

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 study multi-quark (3Q,4Q,5Q) systems in lattice QCD. We perform the detailed studies of multi-quark potentials in lattice QCD to clarify the inter-quark interaction in multi-quark systems. We find that all the multi-quark potentials are…

High Energy Physics - Lattice · Physics 2009-11-11 Fumiko Okiharu , Hideo Suganuma , Toru T. Takahashi , Takumi Doi

We study N_f=2 lattice QCD with nonperturbatively improved Wilson fermions at finite temperature on 16^3 \cdot 8 lattices. We determine the transition temperature at m_{\pi}/m_{\rho} \sim 0.8 and lattice spacing as small as 0.12fm. The…

High Energy Physics - Lattice · Physics 2016-09-01 V. Bornyakov , Y. Nakamura , M. Chernodub , Y. Koma , Y. Mori , M. Polikarpov , G. Schierholz , A. Slavnov , H. Stüben , T. Suzuki , P. Uvarov , A. Veselov

Lattice results and Dual QCD results for all heavy quark potentials through order (quark mass)^${-2}$ are exhibited and compared. The agreement on the whole is quite good, confirming the validity of Dual QCD. NOTE: (The only important…

High Energy Physics - Phenomenology · Physics 2009-10-30 M. Baker , James S. Ball , F. Zachariasen

The potential due to a system of three static quark (3Q) is studied using SU(3) lattice QCD at finite temperature with Polyakov loops operators. We focused our analysis on the large distance properties of the 3Q potential and found a good…

High Energy Physics - Lattice · Physics 2017-06-06 Ahmed S. Bakry , Xurong Chen , Peng-Ming Zhang
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