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Virtual quark effects in lattice QCD are studied in an approach where the infrared modes are included in a precise and gauge-invariant manner. At fixed physical volume the required number of modes does not increase in the continuum limit,…

High Energy Physics - Lattice · Physics 2009-10-31 A. Duncan , E. Eichten , H. Thacker

Two-dimensional large-$N$ quantum chromodynamics with scalar quarks is considered with particular emphasis on its strong coupling regime which has not been studied so far. Techniques necessary to deal with the infinitely oscillatory bound…

High Energy Physics - Theory · Physics 2008-02-03 Vladimir Visnjic

We study the heavy quark mass dependence of selected observables constructed from heavy-light meson correlation functions in small-volume two-flavour lattice QCD after taking the continuum limit. The light quark mass is tuned to zero,…

High Energy Physics - Lattice · Physics 2016-02-17 P. Fritzsch , N. Garron , J. Heitger

Static quark-anti-quark potential encodes important information on the chromodynamical interaction between color charges, and recent lattice results show its very nontrivial behavior near the deconfinement temperature $T_c$. In this paper…

High Energy Physics - Phenomenology · Physics 2010-12-13 Jinfeng Liao , Edward Shuryak

We study the static potential of a color singlet quark-antiquark pair with (fixed) distance r in D=3 and D=2 space-time dimensions at weak coupling (alpha r << 1 and g r << 1, respectively). Using the effective theory pNRQCD we determine…

High Energy Physics - Theory · Physics 2014-03-10 Antonio Pineda , Maximilian Stahlhofen

Within an effective field theory framework we study heavy-quark--antiquark systems with a typical distance between the heavy quark and the antiquark smaller than $1/\Lambda_{\rm QCD}$. A suitable definition of the potential is given within…

High Energy Physics - Phenomenology · Physics 2015-06-25 N. Brambilla , A. Pineda , J. Soto , A. Vairo

We study the color correlation between two static quarks in 3Q ($QQQ$) and 4Q ($QQ\bar Q\bar Q$) multiquark systems at $T=0$ based on the reduced two-body density matrices $\rho$ in color space. We perform quenched lattice QCD calculations…

High Energy Physics - Lattice · Physics 2025-12-29 Toru T. Takahashi , Yoshiko Kanada-En'yo

We study possibilities to define a static quark anti-quark pair in a colour-adjoint orientation based on Wilson loops with generator insertions, using both lattice QCD and leading order perturbation theory in various gauges.…

High Energy Physics - Lattice · Physics 2014-01-29 Owe Philipsen , Marc Wagner

Nonperturbative inequalities constrain the thermodynamic pressure of Quantum Chromodynamics (QCD) with its phase-quenched version, a Sign-Problem-free theory amenable to lattice treatment. In the perturbative regime with a small QCD…

High Energy Physics - Phenomenology · Physics 2024-12-18 Pablo Navarrete , Risto Paatelainen , Kaapo Seppänen

We study lattice QCD in the limit that the quark mass and chemical potential are simultaneously made large, resulting in a controllable density of quarks which do not move; this is similar in spirit to the quenched approximation for zero…

High Energy Physics - Lattice · Physics 2007-05-23 T. Blum , J. E. Hetrick , D. Toussaint

We review the connection between QCD and potential models of quarkonia in the framework of effective field theories, with an emphasis on non-perturbative methods such as lattice simulations. The static and heavy quark potentials are…

High Energy Physics - Phenomenology · Physics 2007-05-23 Gunnar S. Bali

According to the present understanding, the observed diversity of the strong interaction phenomena is described by Quantum Chromodynamics, a gauge field theory with only very few parameters. One of the fundamental questions in this context…

High Energy Physics - Phenomenology · Physics 2009-11-07 Martin Lüscher

We consider the strong coupling limit of lattice QCD with massless staggered quarks and study the resource requirements for quantum simulating the theory in its Hamiltonian formulation. The bosonic Hilbert space of the color-singlet degrees…

High Energy Physics - Lattice · Physics 2025-08-20 Michael Fromm , Lucas Katschke , Owe Philipsen , Wolfgang Unger

We extend a previous investigation of the QCD phase diagram with heavy quarks in the context of background field methods by including the two-loop corrections to the background field effective potential. The nonperturbative dynamics in the…

High Energy Physics - Phenomenology · Physics 2018-05-02 J. Maelger , U. Reinosa , J. Serreau

This lecture note presents a self-contained introduction to the theory of a heavy quark-antiquark ($Q\bar{Q}$) system in terms of perturbative QCD. The lecture is intended for non-experts, such as graduate course students. The heavy…

High Energy Physics - Phenomenology · Physics 2014-12-01 Y. Sumino

The one-loop QCD heavy quark potential is computed to order v^2 in the color singlet and octet channels. Several errors in the previous literature are corrected. To be consistent with the velocity power counting, the full dependence on |p'…

High Energy Physics - Phenomenology · Physics 2014-11-17 Aneesh V. Manohar , Iain W. Stewart

We study the QCD color interactions between static two heavy quarks at zero temperature in a quenched SU(3) lattice gauge simulation: in addition to the standard singlet $q\bar{q}$ potentials, we calculate octet $q\bar{q}$ potentials,…

High Energy Physics - Lattice · Physics 2009-11-11 A. Nakamura , T. Saito

Using a loop formulation approach of QCD$_2$, we study the potential between two heavy quarks in the presence of adjoint scalar fields, and demonstrate how 't Hooft's planar rule is manifested in this formulation. Based on some physical…

High Energy Physics - Theory · Physics 2010-11-01 T. H. Hansson , Rodanthy Tzani

A first attempt to understand hadron dynamics at low energies in terms of the fundamental quark and gluon degrees of freedom incorporates the effects of the gluonic field into a potential depending only on the spatial positions of the…

High Energy Physics - Phenomenology · Physics 2016-09-01 J. T. A. Lang , J. E. Paton , A. M. Green

We discuss the renormalized free energy of a heavy quark anti-quark pair in the color singlet channel for quenched and full QCD at finite temperature. The temperature and mass dependence, as well as its short distance behavior is analyzed.…

High Energy Physics - Lattice · Physics 2009-11-10 O. Kaczmarek , F. Karsch , P. Petreczky , F. Zantow