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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

In the strong coupling and heavy quark mass regime, lattice QCD dimensionally reduces to effective theories of Polyakov loops depending on the parameters of the original Wilson action $\beta, \kappa$ and $N_\tau$. We apply coarse graining…

High Energy Physics - Lattice · Physics 2021-12-22 Christoph Konrad , Owe Philipsen

We study the heavy-heavy-light quark ($QQq$) potential in SU(3) quenched lattice QCD, and discuss one of the roles of the finite-mass valence quark in the inter-quark potential. Monte Carlo simulations are performed with the standard gauge…

High Energy Physics - Lattice · Physics 2008-11-26 Arata Yamamoto , Hideo Suganuma , Hideaki Iida

We compute the expansion of the 3-d Lattice QCD free energy to four loop order by means of Numerical Stochastic Perturbation Theory. The first and second order are already known and are correctly reproduced. The third and fourth order…

High Energy Physics - Lattice · Physics 2009-11-10 F. Di Renzo , A. Mantovi , V. Miccio , Y. Schroder

We study the Polyakov loop correlator in the weak coupling expansion and show how the perturbative series re-exponentiates into singlet and adjoint contributions. We calculate the order $g^7$ correction to the Polyakov loop correlator in…

High Energy Physics - Phenomenology · Physics 2020-02-05 Matthias Berwein , Nora Brambilla , Peter Petreczky , Antonio Vairo

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 study Wilson loops at non-zero temperature and extract the static quark potential from them. The extracted potentials are larger than the singlet free energies and do not show screening for $T<190$ MeV.

High Energy Physics - Lattice · Physics 2015-06-11 A. Bazavov , P. Petreczky

The dynamic relaxation process for the (2+1)--dimensional SU(2) lattice gauge theory at critical temperature is investigated with Monte Carlo methods. The critical initial increase of the Polyakov loop is observed. The dynamic exponents…

Soft Condensed Matter · Physics 2009-10-30 K. Okano , L. Schuelke , B. Zheng

We analyze heavy quark free energies in 2-flavor QCD at finite temperature and the corresponding heavy quark potential at zero temperature. Static quark anti-quark sources in color singlet, octet and color averaged channels are used to…

High Energy Physics - Lattice · Physics 2009-11-11 Olaf Kaczmarek , Felix Zantow

The static gluon-quark-antiquark interaction is investigated using lattice QCD techniques. A Wilson loop adequate to the static hybrid three-body system is developed and, using a $24^3 \times 48$ periodic lattice with $\beta = 6.2$, the…

High Energy Physics - Lattice · Physics 2009-04-14 Marco Cardoso , Pedro Bicudo , Orlando Oliveira

We investigate the phase structure of QCD at finite temperature and light-quark chemical potential. We improve upon earlier results for N_f=2+1 dynamical quark flavors and investigate the effects of charm quarks in an extension to…

High Energy Physics - Phenomenology · Physics 2014-09-05 Christian S. Fischer , Jan Luecker , Christian A. Welzbacher

We calculate the critical temperature and free energy of the gluon plasma using the dilaton potential arXiv:0911.0627[hep-ph] in the gravity theory of AdS/QCD. The finite temperature observables are calculated in two ways: first, from the…

High Energy Physics - Phenomenology · Physics 2011-03-04 E. Megias , H. J. Pirner , K. Veschgini

In the Coulomb gauge of nonabelian gauge theories there are in general, in individual graphs, 'energy-divergences' on integrating over the loop energy variable for fixed loop momentum. These divergences are avoided in the Hamiltonian,…

High Energy Physics - Theory · Physics 2011-09-13 A. Andraši , J. C. Taylor

Aspects of d=4, N=4 superconformal U(N) gauge theory are studied at finite temperature. Utilizing dual description of large $N$ and strong coupling limit via Type IIB string theory compactification on Schwarzschild anti-de Sitter spacetime,…

High Energy Physics - Theory · Physics 2011-02-15 Soo-Jong Rey , Stefan Theisen , Jung-Tay Yee

The heavy quark self-energy in nonrelativistic lattice QCD is calculated to $O(\alpha_s)$ in perturbation theory. An action which includes all spin-independent relativistic corrections to order $v^2$, where $v$ is the typical heavy quark…

High Energy Physics - Lattice · Physics 2010-11-01 Colin J. Morningstar

We calculate the Debye mass for the screening of the heavy quark potential in a plasma of massless quarks coupled to the temporal gluon background governed by the Polyakov loop potential within the PNJL model in RPA approximation. We give a…

High Energy Physics - Phenomenology · Physics 2012-09-20 Jakub Jankowski , David Blaschke

We use the method of `coupling to 2d QG' to study the analytic properties of the universal specific free energy of the O(n) loop model in complex magnetic field. We compute the specific free energy on a dynamical lattice using the…

High Energy Physics - Theory · Physics 2015-05-30 Jean-Emile Bourgine , Ivan Kostov

Lattice sum rules are checked using lattice perturbation theory. The action sum rule gives a relation between the quark-antiquark potential, its logarithmic derivative with respect to distance and the expectation value of the action; the…

High Energy Physics - Lattice · Physics 2007-05-23 B. Feuerbacher

We present lattice simulations of a center symmetric dimensionally reduced effective field theory for SU(2) Yang Mills which employ thermal Wilson lines and three-dimensional magnetic fields as fundamental degrees of freedom. The action is…

High Energy Physics - Lattice · Physics 2012-07-05 Dominik Smith

We study genuine finite density effects in QCD-like theories with three-dimensional Polyakov-loop effective theories for heavy quarks. These are derived from the full QCD-like theories by combined strong-coupling and hopping expansions. In…

High Energy Physics - Lattice · Physics 2016-02-16 Philipp Scior , Lorenz von Smekal