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Heavy quarks have been instrumental for progress in our exploration of strong interactions. Quarkonium in particular, a heavy quark-antiquark nonrelativistic bound state, has been at the root of several revolutions. Quarkonium is endowed…

High Energy Physics - Phenomenology · Physics 2022-07-05 Nora Brambilla

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 analyse the possible existence of non-perturbative contributions in heavy $\bar Q Q$ systems ($\bar Q$ and $Q$ need not have the same flavour) which cannot be expressed in terms of local condensates. Starting from QCD, with well defined…

High Energy Physics - Phenomenology · Physics 2016-09-01 A. Pineda , J. Soto

In this paper, we develop a weak-coupling treatment of nonperturbative QCD to heavy hadrons on the light-front. First, we present a derivation of quark confining interaction in light-front QCD for heavy quark systems, based on the recently…

High Energy Physics - Phenomenology · Physics 2008-02-03 Wei-Min Zhang

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 use the variational method, in a reformulated Hamiltonian formalism of QCD, to derive the wave equation for a heavy quark-antiquark system using a trial state that contains a component with a virtual light quark pair. We examine the…

High Energy Physics - Theory · Physics 2013-09-11 Alexander Chigodaev , Jurij W. Darewych

Using a unified hadron-quark effective model for the QCD equation of state, this paper studies the phase structure of strongly interacting matter in a wide range of temperature and baryonchemical potential. At small potentials the model…

High Energy Physics - Phenomenology · Physics 2013-08-22 Philip Rau , Jan Steinheimer , Stefan Schramm

Recent developments for an effective theory for non-relativistic perturbative quark-antiquark systems are reviewed and some applications are discussed.

High Energy Physics - Phenomenology · Physics 2007-05-23 A. H. Hoang

Infrared safe differential cross sections, such as event shape distributions, can be measured over wide kinematic ranges, from regions where fixed order calculations are adequate to regions where nonperturbative dynamics dominate. Such…

High Energy Physics - Phenomenology · Physics 2014-11-17 George Sterman

The perturbatively calculable short distance QCD potential is known to two loops including the effect of massive quarks. Recently, a simple approximate solution in momentum space was utilized to obtain the potential in coordinate space. The…

High Energy Physics - Phenomenology · Physics 2011-01-25 Michael Melles

We present a simple parameterization of a running coupling constant, defined via the static potential, that interpolates between 2-loop QCD in the UV and the string prediction in the IR. Besides the usual $\Lam$-parameter and the string…

High Energy Physics - Lattice · Physics 2009-10-22 Timothy R. Klassen

In this Chapter QCD interactions between a quark and an anti-quark are discussed. In the heavy quark limit these potentials can be related to quarkonia and $1/m$ corrections can be systematically determined. Excitations of the ground state…

Nuclear Theory · Physics 2018-09-26 G. Bali , A. M. Green

The low energy behavior of a recently proposed model for the massive analytic running coupling of QCD is studied. This running coupling has no unphysical singularities, and in the absence of masses displays infrared enhancement. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Nesterenko , J. Papavassiliou

Known quantum and classical perturbative long-distance corrections to the Newton potential are extended into the short-distance regime using evolution equations for a `running' gravitational coupling, which is used to construct examples…

General Relativity and Quantum Cosmology · Physics 2021-08-24 Jan Smit

We present high precision results on the static quark-antiquark-potential on 32^4 and smaller lattices, using the standard Wilson action at BETA = 6.0, 6.2, 6.4, and 6.8 on the Connection Machine CM-2. Within our statistical errors (1%) we…

High Energy Physics - Lattice · Physics 2009-10-22 G. S. Bali , K. Schilling

I calculate heavy-light decay constants in a nonrelativistic potential model. The resulting estimate of heavy quark symmetry breaking conflicts with similar estimates from lattice QCD. I show that a semirelativistic potential model…

High Energy Physics - Phenomenology · Physics 2011-07-19 James F. Amundson

We present an effective field theory suitable to describe a non-relativistic particle-antiparticle pair of heavy scalars based on the gauge group SU(3). Its formulation is analogous to that of "velocity NRQCD" (vNRQCD), a non-relativistic…

High Energy Physics - Phenomenology · Physics 2007-05-23 Andre Hoang , Pedro Ruiz-Femenia

The strong coupling constant alpha_s(mu_0), taken at a fixed reference scale mu_0, is the single free parameter of QCD and should be known to the highest available precision. The value of alpha_s should also be determined with good accuracy…

High Energy Physics - Lattice · Physics 2017-08-23 Attilio Cucchieri

We unify two widely different approaches to understanding the infrared behaviour of quantum chromodynamics (QCD), one essentially phenomenological, based on data, and the other computational, realised via quantum field equations in the…

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