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We evaluate the static QCD potential to two--loop order. Compared to a previous calculation a sizable reduction of the two--loop coefficient $a_2$ is found.

High Energy Physics - Phenomenology · Physics 2011-05-05 York Schroder

I work on a set of Feynman rules that were derived in order to incorporate the constraint of Gauss's law in the perturbation expansion of gauge field theories and calculate the interaction energy of two static sources. The constraint is…

General Physics · Physics 2022-09-15 Dimitrios Metaxas

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

The static Coulomb potential of Quantum Electrodynamics (QED) is calculated in the presence of a strong magnetic field in the lowest Landau level (LLL) approximation using two different methods. First, the vacuum expectation value of the…

High Energy Physics - Theory · Physics 2008-11-26 N. Sadooghi , A. Sodeiri Jalili

Pure glue QCD is formulated on a 2+1 dimensional transverse lattice, using discrete light-front quantization. The transverse component of the gauge fields is taken to be compact, but in a linearized approximation with an effective…

High Energy Physics - Phenomenology · Physics 2008-02-03 M. Burkardt , B. Klindworth

We report results on the static quark potential in two-flavor full QCD. The calculation is performed for three values of lattice spacing $a^{-1}\approx 0.9, 1.3$ and 2.5 GeV on $12^3{\times}24, 16^3{\times}32$ and $24^3{\times}48$ lattices…

We analyze the free energy of a static quark anti-quark pair in quenched QCD at short and large distances. From this we deduce running couplings, g^2(r,T), and determine the length scale that separates at high temperature the short distance…

High Energy Physics - Lattice · Physics 2014-11-17 O. Kaczmarek , F. Karsch , P. Petreczky , F. Zantow

We compute the energy of the ground state and a low lying excitation of the gluonic field in the presence of static quark -anti-quark ($\qq$) sources. We show that for separation between the sources less then a few fm the gluonic ground…

High Energy Physics - Phenomenology · Physics 2009-11-11 Adam P. Szczepaniak , Pawel Krupinski

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

The perturbative QCD static potential and ultrasoft contributions, which together give the static energy, have been calculated to three- and four-loop order respectively, by several authors. Using the renormalization group, and Pad\'e…

High Energy Physics - Phenomenology · Physics 2023-09-19 B. Ananthanarayan , Diganta Das , M. S. A. Alam Khan

Quantum Chromodynamics (QCD), the gauge field theory of the Strong Interaction, has specific features, asymptotic freedom and confinement, which determine the behaviour of quarks and gluons in particle reactions at high and at low energy…

High Energy Physics - Experiment · Physics 2008-11-26 Siegfried Bethke

Gluon and quark contributions to the thermodynamic potential (free energy) of a (2+1)-dimensional QCD model at finite temperature in the background of a constant homogeneous chromomagnetic field H combined with A_0 condensate are…

High Energy Physics - Phenomenology · Physics 2009-10-31 V. Ch. Zhukovsky , V. V. Khudyakov

We present results for the static inter-quark potential, lightest glueballs, light hadron spectrum and topological susceptibility using a non-perturbatively improved action on a $16^3\times 32$ lattice at a set of values of the bare gauge…

We summarize the derivation of the finite temperature, finite chemical potential thermodynamic potential in the bag-model approximation to quantum chromodynamics (QCD) that includes a finite $s$-quark mass in the Feynman diagram…

High Energy Physics - Phenomenology · Physics 2020-02-13 Mayukh R. Gangopadhyay , Grant J. Mathews , J. Pocahontas Olson

A local and renormalizable version of a modified PQCD introduced in previous works is presented. The construction indicates that it could be equivalent to massless QCD. The case in which only quark condensate effects are retained is…

High Energy Physics - Phenomenology · Physics 2012-01-16 Alejandro Cabo Montes de Oca

We compute the QCD static force and potential using gradient flow at next-to-leading order in the strong coupling. The static force is the spatial derivative of the static potential: it encodes the QCD interaction at both short and long…

High Energy Physics - Phenomenology · Physics 2022-02-02 Nora Brambilla , Hee Sok Chung , Antonio Vairo , Xiang-Peng Wang

We present results on heavy quark free energies in 2-flavour QCD. The temperature dependence of the interaction between static quark anti-quark pairs will be analyzed in terms of temperature dependent screening radii, which give a first…

High Energy Physics - Lattice · Physics 2007-05-23 O. Kaczmarek , F. Zantow

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

Starting from the $0^{++}$ glueball mass and wave function computed from lattice QCD, we compute the local potential between two constituent gluons. Since the properties of constituent gluons are still a matter of research, we allow for…

High Energy Physics - Phenomenology · Physics 2008-11-26 F. Buisseret , C. Semay

We discuss the non-zero baryon number formulation of QCD in the quenched limit at finite temperature. This describes the thermodynamics of gluons in the background of static quark sources. Although a sign problem remains in this theory, our…

High Energy Physics - Lattice · Physics 2015-06-25 O. Kaczmarek with J. Engels , F. Karsch , E. Laermann