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We compute, in the large N limit, the quark potential for ${\cal N}=4$ supersymmetric SU(N) Yang-Mills theory broken to $SU(N_1) \times SU(N_2)$. At short distances the quarks see only the unbroken gauge symmetry and have an attractive…

High Energy Physics - Theory · Physics 2010-02-03 J. A. Minahan , N. P. Warner

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

The generalized quark-antiquark potential of N=4 supersymmetric Yang-Mills theory on S^3 x R calculates the potential between a pair of heavy charged particles separated by an arbitrary angle on S^3 and also an angle in flavor space. It can…

High Energy Physics - Theory · Physics 2015-06-04 Nadav Drukker

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

The static three-quark potential in arbitrary configuration of quarks is calculated analytically. It is shown to be in a full agreement with the precise numerical simulations in lattice QCD. The results of the work have important…

High Energy Physics - Phenomenology · Physics 2009-11-07 D. S. Kuzmenko

We present results for tetraquark potentials of two static anti-quarks $\bar b \bar b$ in the presence of two light quarks $u$ and/or $d$. We improve on existing results by computing the static potential also for off-axis separations, which…

High Energy Physics - Lattice · Physics 2023-12-29 Lasse Mueller , Pedro Bicudo , Marina Krstic Marinkovic , Marc Wagner

We present the analysis of the static potential extracted from Wilson loops measured on CLS ensembles generated with Wilson gauge action and Nf=2 flavors of O(a) improved Wilson quarks at three different lattice spacings and a range of…

High Energy Physics - Lattice · Physics 2012-02-14 Francesco Knechtli , Björn Leder

In this paper, we study within the structure of Symplectic Quantum Mechanics a bi-dimensional non-relativistic strong interaction system which represent the bound state of heavy quark-antiquark, where we consider a Cornell potential which…

High Energy Physics - Phenomenology · Physics 2022-01-04 R. R. Luz , Caroline S. R. Costa , G. X. A. Petronilo , A. E. Santana , R. G. G. Amorim , R. A. S. Paiva

We analyze the static potentials for various representations in SU($3$) Yang-Mills theory within the framework of the domain model of center vortices. The influence of vortex interactions is investigated on the static potentials. We show…

High Energy Physics - Phenomenology · Physics 2019-12-11 Seyed Mohsen Hosseini Nejad

Starting from the NRQCD Lagrangian the heavy quark-antiquark potential is written in terms of field strength insertions on a static Wilson loop. The relevant matching coefficients are given at the present status of knowledge. The…

High Energy Physics - Phenomenology · Physics 2009-10-31 Nora Brambilla , Antonio Vairo

We use gauge-string duality to model the $N$-quark potential in pure Yang-Mills theories. For $SU(3)$, the result agrees remarkably well with lattice simulations. The model smoothly interpolates between almost the $\Delta$-law at small…

High Energy Physics - Phenomenology · Physics 2016-03-09 Oleg Andreev

A systematic investigation of Symanzic improvement in the gauge field action is performed for the static quark potential in quenched QCD. We consider Symanzik improved gauge field configurations on a 16^3 X 32 lattice with a relatively…

High Energy Physics - Lattice · Physics 2007-05-23 Frederic D. R. Bonnet , Derek B. Leinweber , Anthony G. Williams , James M. Zanotti

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

A nonperturbative model for the QCD invariant charge, which contains no low-energy unphysical singularities and possesses an elevated higher loop corrections stability, is developed in the framework of potential approach. The static…

High Energy Physics - Phenomenology · Physics 2011-04-07 Yu. O. Belyakova , A. V. Nesterenko

We consider antiparallel Wilson lines in N=4 super Yang-Mills in the presence of a codimension-1 defect. We compute the Wilson lines' expectation value both at weak coupling, in the gauge theory, and at strong coupling, by finding the…

High Energy Physics - Theory · Physics 2017-10-20 Michelangelo Preti , Diego Trancanelli , Edoardo Vescovi

Lattice QCD simulations offer the possibility of determining the potential between three static quarks from first principles. We review the status of such simulations, and the relative standing of the two theoretical proposals for the…

High Energy Physics - Phenomenology · Physics 2015-06-25 Ph. de Forcrand , O. Jahn

We generalize the multilevel algorithm of Luescher and Weisz to study SU(N) Yang-Mills theories with the tree-level improved gauge action. We test this algorithm, comparing its results with those obtained using the Wilson action, in SU(3)…

High Energy Physics - Lattice · Physics 2013-01-04 Anne Mykkanen

We present potentials between static charges from simulations of quantum gravity coupled to an SU(2) gauge field on $6^{3}\times 4$ and $8^{3}\times 4$ simplicial lattices. The action consists of the gravitational term given by Regge's…

High Energy Physics - Lattice · Physics 2016-08-31 W. Beirl , B. A. Berg , B. Krishnan , H. Markum , J. Riedler

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