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We study the symmetries of the three heavy-quark system under exchange of the quark fields within the effective field theory framework of potential non-relativistic QCD. The symmetries constrain the form of the matching coefficients in the…

High Energy Physics - Phenomenology · Physics 2013-04-16 Nora Brambilla , Felix Karbstein , Antonio Vairo

We calculate the free energy of a static quark anti-quark pair and the renormalized Polyakov loop in 2+1- and 3- flavor QCD using $16^3 \times 4$ and $16^3 \times 6$ lattices and improved staggered p4 action. We also compare the…

High Energy Physics - Lattice · Physics 2008-11-26 K. Petrov

I study QCD at large isospin density, which is known to be in the superfluid state with Cooper pairs carrying the same quantum number as pions. I solve the gap equation derived from the perturbation theory up to the next-to-leading order…

High Energy Physics - Phenomenology · Physics 2024-03-27 Yuki Fujimoto

The QCD quark cyclobutadiene (ring-like), a new color structure of tetraquark system, is proposed and studied in the flux tube model with multi-body confinement potential. The QCD quark cyclobutadiene and other flux tube structures of…

High Energy Physics - Phenomenology · Physics 2015-06-03 Chengrong Deng , Jialun Ping , Fan Wang

We calculate the pressure (p), the energy density (\epsilon) and the baryon density (n_B) of QCD at finite temperatures (T) and chemical potentials (\mu). The recently proposed overlap improving multi-parameter reweighting technique is used…

High Energy Physics - Lattice · Physics 2009-11-07 F. Csikor , G. I. Egri , Z. Fodor , S. D. Katz , K. K. Szabo , A. I. Toth

We propose a model for Quantum Chromodynamics, obtained by ignoring the angular dependence of the gluon fields, which could qualitatively describe systems containing one heavy quark. This leads to a two dimensional gauge theory which has…

High Energy Physics - Phenomenology · Physics 2010-11-01 K. S. Gupta , S. Guruswamy , S. G. Rajeev

The perturbative three-loop result for the thermodynamic potential of QCD at finite temperature and chemical potential as obtained in the framework of dimensional reduction is compared with the exact result in the limit of large flavor…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. Ipp , A. Rebhan , A. Vuorinen

We study color superconductivity in QCD at asymptotically large chemical potential. In this limit, pairing is dominated by perturbative one-gluon exchange. We derive the Eliashberg equation for the pairing gap and solve this equation…

High Energy Physics - Phenomenology · Physics 2016-08-25 Thomas Schaefer , Frank Wilczek

We consider the inverse coefficient problem of simultaneously determining the space dependent electric potential, the zero-th order coupling term and the first order coupling vector of a two-state Schr\"odinger equation in an infinite…

Analysis of PDEs · Mathematics 2022-02-09 Mohamed Hamrouni , Imen Rassas , Éric Soccorsi

The complete expression of the heavy quark-antiquark potential up to order $1/m^2$ is known from QCD in terms of Wilson loop expectation values. We use that expression and a mapping, assumed to be valid at large distances, between Wilson…

High Energy Physics - Phenomenology · Physics 2015-01-07 Nora Brambilla , Michael Groher , Hector E. Martinez , Antonio Vairo

We perform path integral for a quark (antiquark) in the presence of an arbitrary space-dependent static color potential A^a_0(x)(=-\int dx E^a(x)) with arbitrary color index a=1,2,...8 in SU(3) and obtain an exact non-perturbative…

High Energy Physics - Theory · Physics 2009-03-12 Gouranga C. Nayak

We study the color correlation between static quark and antiquark ($q\bar q$) that is accompanied by gluonic excitations in the confined phase at $T=0$ by constructing reduced density matrices $\rho$ in color space. We perform quenched…

High Energy Physics - Lattice · Physics 2024-12-10 Toru T. Takahashi , Yoshiko Kanada-En'yo

We study the correlators of Polyakov loops, and the corresponding gauge invariant free energy of a static quark-antiquark pair in 2+1 flavor QCD at finite temperature. Our simulations were carried out on $N_t$ = 6, 8, 10, 12, 16 lattices…

High Energy Physics - Lattice · Physics 2015-05-20 Szabolcs Borsányi , Zoltán Fodor , Sándor D. Katz , Attila Pásztor , Kálmán K. Szabó , Csaba Török

A comprehensive parameterization of the colour singlet heavy quark free energy above $T_c$ is given, using the lattice data in quenched ($N_f=0$) and unquenched ($N_f=2$ and $N_f=3$) QCD. The corresponding (temperature dependent) potentials…

High Energy Physics - Phenomenology · Physics 2011-01-25 W. M. Alberico , A. Beraudo , A. De Pace , A. Molinari

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 the effects of dynamical quarks on the static quark potential at distances shorter than those where string breaking is expected. Quenched calculations and calculations with three flavors of dynamical quarks are done on sets of…

High Energy Physics - Lattice · Physics 2009-10-31 C. Bernard , T. Burch , K. Orginos , D. Toussaint , T. A. DeGrand , C. E. DeTar , S. Gottlieb , U. M. Heller , J. E. Hetrick , R. L. Sugar

While lattice QCD allows for reliable results at small momentum transfers (large quark separations), perturbative QCD is restricted to large momentum transfers (small quark separations). The latter is determined up to a reference momentum…

High Energy Physics - Phenomenology · Physics 2018-12-18 Felix Karbstein , Marc Wagner , Michelle Weber

We investigate chemical-potential (\mu) dependence of static-quark free energies in both the real and imaginary \mu regions, performing lattice QCD simulations at imaginary \mu and extrapolating the results to the real \mu region with…

High Energy Physics - Lattice · Physics 2013-12-16 Junichi Takahashi , Keitaro Nagata , Takuya Saito , Atsushi Nakamura , Takahiro Sasaki , Hiroaki Kouno , Masanobu Yahiro

We have investigated the spectra of light-heavy quarkonia with the use of a quantum-chromodynamic potential model which is similar to that used earlier for the heavy quarkonia. An essential feature of our treatment is the inclusion of the…

High Energy Physics - Phenomenology · Physics 2011-07-19 Suraj N. Gupta , James M. Johnson

We present lattice studies of heavy quark potentials in the quenched approximation of QCD at finite temperatures. Both, the color singlet and color averaged potentials are calculated. While the potentials are well known at large distances,…

High Energy Physics - Lattice · Physics 2015-06-25 F. Zantow , O. Kaczmarek , F. Karsch , P. Petreczky