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This article reports an explicit function form for confining classical Yang-Mills vector potentials and quantum fluctuations around the classical field. The classical vector potential, which is composed of a confining localized function and…

High Energy Physics - Theory · Physics 2014-11-04 Kimichika Fukushima , Hikaru Sato

We present an analytic nonperturbative solution of the Yakubovsky equation for tetraquark states in the case of equal separations and energies, and demonstrate a direct connection between the tetraquark confinement potential and the…

High Energy Physics - Phenomenology · Physics 2014-06-25 Carina Popovici , Christian S. Fischer

We compute the expectation values of both the time-like and the light-like Wilson loops in a strongly coupled plasma of (p+1)-dimensional Yang-Mills theories using gravity/gauge theory correspondence. From the time-like Wilson loop we…

High Energy Physics - Theory · Physics 2015-05-27 Somdeb Chakraborty , Shibaji Roy

The imaginary part of the effective heavy-quark potential is related to the total in-medium decay width of heavy quark-antiquark bound states. We extract the static limit of this quantity using classical-statistical simulations of real-time…

High Energy Physics - Lattice · Physics 2022-01-25 Kirill Boguslavski , Babak Kasmaei , Michael Strickland

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

A confining quantum chromodynamics (QCD) model is formulated on the basis of a new general Yang-Mills $SU_3$ symmetry. The general Yang-Mills transformations involve arbitrary vector gauge functions $\omega_\mu(x)$ and Hamilton's…

General Physics · Physics 2019-11-26 Jong-Ping Hsu

The static potential between an infinitely heavy quark and antiquark is derived in the framework of perturbative QCD to three loops by performing a full calculation of the two-loop diagrams and using the renormalization group. The…

High Energy Physics - Phenomenology · Physics 2009-10-28 Markus Peter

We present a method for computing the static quark-antiquark potential, which is not based on Wilson loops, but where the trial states are formed by eigenvector components of the covariant lattice Laplace operator. We have tested this…

High Energy Physics - Lattice · Physics 2016-10-31 Tobias Neitzel , Janik Kämper , Owe Philipsen , Marc Wagner

The $Q \bar{Q}$ semirelativistic interaction in QCD can be simply expressed in terms of the Wilson loop and its functional derivatives. In this approach we present the $Q \bar{Q}$ potential up to order $1/m^2$ using the expressions for the…

High Energy Physics - Phenomenology · Physics 2009-10-28 N. Brambilla , A. Vairo

The pole mass of a heavy quark is ambiguous by an amount of order $\Lambda_{QCD}$. We show that the heavy-quark potential, $V(r)$, is similarly ambiguous, but that the total static energy, $2M_{pole}+V(r)$, is unambiguous when expressed in…

High Energy Physics - Phenomenology · Physics 2016-08-25 A. H. Hoang , M. C. Smith , T. Stelzer , S. Willenbrock

The potential between heavy quarks can be rigorously defined in a QCD effective field theories framework. I discuss the general situation when the coupling constant may not be considered small and provide an explicit expression for the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Antonio Vairo

Within an effective field theory framework, we obtain an expression, with O(1/m^2) accuracy, for the energies of the gluonic excitations between heavy quarks, which holds beyond perturbation theory. For the singlet heavy quark--antiquark…

High Energy Physics - Phenomenology · Physics 2014-11-17 Antonio Pineda , Antonio Vairo

By using the gauge/gravity duality and the Maldacena prescription we compute the expectation values of the Wilson loops in noncommutative Yang-Mills (NCYM) theory in (3+1) dimensions. We consider both the time-like and the light-like Wilson…

High Energy Physics - Theory · Physics 2015-02-03 Somdeb Chakraborty , Najmul Haque , Shibaji Roy

Based on the observation that the heavy quark-antiquark potential value at infinity corresponds to twice the D meson mass, we constrain the asymptotic value of the heavy quark potential in a hot medium through a QCD sum rule calculation of…

High Energy Physics - Phenomenology · Physics 2020-06-30 Philipp Gubler , Taesoo Song , Su Houng Lee

The Wilson loop in the non-commutative dipole field theory is re-examined within the framework of dual gravity description. In contrast to the previous investigations, we let the dual string be moving along the deformed $S^5$ and find the…

High Energy Physics - Theory · Physics 2015-05-13 Wung-Hong Huang

We study the static three quark potential using lattice QCD simulation. At zero temperature, the three quark potential is extracted from the baryonic Wilson loop and fitted to the phenomenological form, the sum of the Coulomb term, linearly…

High Energy Physics - Lattice · Physics 2009-10-31 H. Matsufuru , Y. Nemoto , H. Suganuma , T. T. Takahashi , T. Umeda

We test a method for computing the static quark-antiquark potential in lattice QCD, which is not based on Wilson loops, but where the trial states are formed by eigenvector components of the covariant lattice Laplace operator. The runtime…

High Energy Physics - Lattice · Physics 2022-09-07 Roman Höllwieser , Francesco Knechtli , Mike Peardon

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

We use the assumption of electric-magnetic duality to express the heavy quark potential in QCD in terms of a Wilson Loop $W_{eff}(\Gamma)$ determined by the dynamics of a dual theory which is weakly coupled at long distances. The classical…

High Energy Physics - Phenomenology · Physics 2016-09-06 M. Baker

We study a two-parameter family of Wilson loop operators in N=4 supersymmetric Yang-Mills theory which interpolates smoothly between the 1/2 BPS line or circle and a pair of antiparallel lines. These observables capture a natural…

High Energy Physics - Theory · Physics 2015-05-28 Nadav Drukker , Valentina Forini