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We study the static three-quark (3Q) potential in detail using SU(3) lattice QCD with $12^3 \times 24$ at $\beta=5.7$ and $16^3 \times 32$ at $\beta=5.8, 6.0$ at the quenched level. For more than 200 patterns of the 3Q systems, we…

High Energy Physics - Lattice · Physics 2009-11-07 T. T. Takahashi , H. Suganuma , H. Matsufuru , Y. Nemoto

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

In quantum chromodynamics (QCD), the binding energy of an infinitely heavy quark--antiquark pair in a color singlet state can be calculated as a function of the distance. We investigate this static potential of QCD perturbatively and…

High Energy Physics - Phenomenology · Physics 2009-10-31 Y. Schroder

We present results for the static three- and four-quark potentials in SU(3) and SU(4) respectively. Using a variational approach, combined with multi-hit for the time-like links, we determine the ground state of the baryonic string with…

High Energy Physics - Lattice · Physics 2015-06-25 C. Alexandrou , Ph. de Forcrand , A. Tsapalis

The static penta-quark (5Q) potential $V_{\rm 5Q}$ is studied in SU(3) lattice QCD with $16^3\times 32$ and $\beta$=6.0 at the quenched level. From the 5Q Wilson loop, $V_{\rm 5Q}$ is calculated in a gauge-invariant manner, with the…

High Energy Physics - Lattice · Physics 2009-11-10 Fumiko Okiharu , Hideo Suganuma , Toru T. Takahashi

The three-loop corrections to the potential of two heavy quarks are computed. Analytic results for the most complicated master integrals are presented.

High Energy Physics - Phenomenology · Physics 2010-02-18 Alexander V. Smirnov , Vladimir A. Smirnov , Matthias Steinhauser

We compute the energy of a static hybrid, i.e. of a hybrid quarkonium with static quark and antiquark, at short distances in D=4,3 dimensions. The soft contribution to this energy is the static potential of a color octet quark-antiquark…

High Energy Physics - Phenomenology · Physics 2011-09-08 Antonio Pineda , Maximilian Stahlhofen

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 explore a novel approach to compute the force between a static quark-antiquark pair with the gradient flow algorithm on the lattice. The approach is based on inserting a chromoelectric field in a Wilson loop. The renormalization issues,…

High Energy Physics - Lattice · Physics 2022-02-16 Viljami Leino , Nora Brambilla , Julian Mayer-Steudte , Antonio Vairo

We present a preliminary computation of potentials between two static quarks in $n_f=2$ QCD with O(a) improved Wilson fermions. We explore different smearing choices (HYP, HYP2 and APE) and their effect on the signal to noise ratio in the…

High Energy Physics - Lattice · Physics 2020-06-23 Marco Catillo , Marina Krstić Marinković , Pedro Bicudo , Nuno Cardoso

Spectral sums of the Dirac-Wilson operator and their relation to the Polyakov loop are thoroughly investigated. The approach by Gattringer is generalized to mode sums which reconstruct the Polyakov loop locally. This opens the possibility…

High Energy Physics - Lattice · Physics 2008-11-26 Franziska Synatschke , Andreas Wipf , Kurt Langfeld

Wilson loop averages are evaluated for large contours and in the large N limit by means of minimal surfaces. This allows the study of the quark-antiquark gauge invariant Green function through its dependence on Wilson loops. A covariant…

High Energy Physics - Phenomenology · Physics 2007-05-23 F. Jugeau , H. Sazdjian

We present an estimate for the imaginary part of the recently introduced finite temperature real-time static potential. It can be extracted from the time evolution of the Wilson loop in classical lattice gauge theory. The real-time static…

High Energy Physics - Lattice · Physics 2009-04-14 M. Laine , O. Philipsen , M. Tassler

The static three-quark (3Q) potential is measured in the SU(3) lattice QCD with $12^3 \times 24$ and $\beta=5.7$ at the quenched level. From the 3Q Wilson loop, the 3Q ground-state potential $V_{\rm 3Q}$ is extracted using the smearing…

High Energy Physics - Lattice · Physics 2008-11-26 T. T. Takahashi , H. Matsufuru , Y. Nemoto , H. Suganuma

For lattice QCD with two sea quark flavours we compute the static quark antiquark potential V(R) in the regime where string breaking is expected. In order to increase statistics, we make full use of the lattice information by including all…

High Energy Physics - Lattice · Physics 2009-10-31 B. Bolder , T. Struckmann , G. S. Bali , N. Eicker , Th. Lippert , B. Orth , K. Schilling , P. Ueberholz

We calculate glueball and torelon masses as well as the lowest lying hybrid potential in addition to the static ground state potential in lattice simulations of QCD with two flavours of dynamical Wilson fermions. The results are obtained on…

High Energy Physics - Lattice · Physics 2009-10-31 Gunnar S. Bali , Bram Bolder , Norbert Eicker , Thomas Lippert , Boris Orth , Peer Ueberholz , Klaus Schilling , Thorsten Struckmann

An uncontroversial observation of adjoint string breaking is proposed, while measuring the static potential from Wilson loops only. The overlap of the Wilson loop with the broken-string state is small, but non-vanishing, so that the…

High Energy Physics - Lattice · Physics 2015-06-25 Slavo Kratochvila , Philippe de Forcrand

The static color-Coulomb interaction potential is calculated as the solution of a non-linear integral equation which arises in the Hamiltonian Coulomb gauge when the restriction to the interior of the Gribov horizon is implemented. The…

High Energy Physics - Theory · Physics 2009-10-30 Attilio Cucchieri , Daniel Zwanziger

Three-quark potentials are studied in great details in the three-dimensional $SU(3)$ pure gauge theory at finite temperature, for the cases of static sources in the fundamental and adjoint representations. For this purpose, the…

High Energy Physics - Lattice · Physics 2019-02-20 O. Borisenko , V. Chelnokov , Emanuele Mendicelli , Alessandro Papa

Here we study the static potential for the two quarks and two antiquarks system. First this is done using the tetraquark operator, which has been previously used to calculate the static potential. This is found to give good results in the…

High Energy Physics - Lattice · Physics 2012-10-12 Marco Cardoso , Pedro Bicudo , Nuno Cardoso