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An effective field theory exists describing a very large class of biophysically interesting Coulomb gas systems: the lowest order (mean-field) version of this theory takes the form of a generalized Poisson-Boltzmann theory. Interaction…

High Energy Physics - Lattice · Physics 2008-11-26 Anthony Duncan

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

We utilize Polyakov loop correlations to study d=3+1 compact U (1) flux tubes and the static electron-positron potential in lattice gauge theory. With the plaquette field operator, in U(1) lattice gauge theory, we probe directly the…

High Energy Physics - Lattice · Physics 2013-09-17 A. Amado , N. Cardoso , P. Bicudo

The first exploratory calculations of QCD vacuum correlation functions on a lattice are reported. Qualitative agreement with phenomenological results is obtained in channels for which experimental data are available, and these correlation…

High Energy Physics - Lattice · Physics 2007-05-23 M. -C. Chu , J. M. Grandy , S. Huang , J. W. Negele

The spin-dependent corrections to the static inter-quark potential are phenomenologically relevant to describing the fine and hyperfine spin splitting of the heavy quarkonium spectra. We investigate these corrections, which are represented…

High Energy Physics - Lattice · Physics 2008-11-26 Yoshiaki Koma , Miho Koma

We discuss the quenched limit of lattice QCD at non-zero baryon number density. We find evidence for a mixed phase that becomes broader with increasing baryon number. Although the action is explicitly Z(3) symmetric the Polyakov loop…

High Energy Physics - Lattice · Physics 2007-05-23 O. Kaczmarek , with J. Engels , F. Karsch , E. Laermann

We apply the relative weights method (arXiv:1209.5697) to determine the effective Polyakov line action for SU(2) lattice gauge theory in the confined phase, at lattice coupling beta=2.2 and N_t=4 lattice spacings in the time direction. The…

High Energy Physics - Lattice · Physics 2014-03-25 J. Greensite , K. Langfeld

Thermodynamic properties of strongly interacting matter are investigated using the Polyakov loop enhanced Nambu$-$Jona-Lasinio model along with some modifications to include the hadrons. Various observables are shown to have a close…

High Energy Physics - Phenomenology · Physics 2020-10-21 Abhijit Bhattacharyya , Paramita Deb , Sanjay K. Ghosh , Soumitra Maity , Sibaji Raha , Rajarshi Ray , Kinkar Saha , Sudipa Upadhaya

Lattice QCD calculations of two-nucleon interactions have been underway for about a decade, but still haven't reached the pion mass regime necessary for matching onto effective field theories and extrapolating to the physical point.…

We investigate the QCD phase diagram based on the strong coupling expansion of the lattice QCD with one species of the staggered fermions at finite temperature (T) and chemical potential (mu). We analytically derive an effective potential…

High Energy Physics - Lattice · Physics 2011-09-29 Kohtaroh Miura , Takashi Z. Nakano , Akira Ohnishi , Noboru Kawamoto

In recent years, reallistic unquenched QCD simulations have been carried out with various lattice actions. In this report, I explain the progress in theory and algorithms and some of the physics results.

High Energy Physics - Phenomenology · Physics 2009-12-15 Tetuya Onogi

We propose a new approach to the study of the inter-quark potential in Lattice Gauge Theories. Instead of looking at the expectation value of Polyakov loop correlators we study the modifications induced in the chromoelectric flux by the…

High Energy Physics - Lattice · Physics 2010-12-20 M. Billo' , M. Caselle , V. Verduci , M. Zago

A three-dimensional effective lattice theory of Polyakov loops is derived from QCD by expansions in the fundamental character of the gauge action, u, and the hopping parameter, \kappa, whose action is correct to \kappa^n u^m with n+m=4. At…

High Energy Physics - Lattice · Physics 2015-06-19 Jens Langelage , Mathias Neuman , Owe Philipsen

I adapt a numerical method, previously applied to investigate the Yang-Mills vacuum wavefunctional, to the problem of extracting the effective Polyakov line action from SU(N) lattice gauge theories, with or without matter fields. The method…

High Energy Physics - Lattice · Physics 2013-05-30 Jeff Greensite

At finite imaginary values of the chemical potential, QCD is free of the sign problem. Moreover, at high temperatures the partition function exhibits a new symmetry (the Roberge-Weiss symmetry) connecting phases with different orientations…

High Energy Physics - Lattice · Physics 2021-11-03 Amine Chabane , Gergely Endrödi

Convergence properties of Taylor expansions of observables, which are also used in lattice QCD calculations at non-zero chemical potential, are analyzed in an effective N_f = 2+1 flavor Polyakov-quark-meson model. A recently developed…

High Energy Physics - Phenomenology · Physics 2011-03-29 Frithjof Karsch , Bernd-Jochen Schaefer , Mathias Wagner , Jochen Wambach

Numerical studies of the QCD phase diagram at finite baryon chemical potential $\mu_B$ on the lattice are impeded by a sign problem. Effective Polyakov loop theories derived from lattice QCD via combined strong-coupling and hopping…

High Energy Physics - Lattice · Physics 2025-09-04 Christoph Konrad , Owe Philipsen

We investigate Lipatov's QCD effective action for the QCD high energy limit and propose a pole prescription for higher order induced vertices. The latter can be used in the evaluation of loop corrections to high energy factorized matrix…

High Energy Physics - Phenomenology · Physics 2015-06-03 Martin Hentschinski

We investigate correlations of the Polyakov loop fluctuations with eigenmodes of the lattice Dirac operator. Their analytic relations are derived on the temporally odd-number size lattice with the normal non-twisted periodic boundary…

High Energy Physics - Lattice · Physics 2015-11-09 Takahiro M. Doi , Krzysztof Redlich , Chihiro Sasaki , Hideo Suganuma

We discuss an effective Polyakov loop model for QCD thermodynamics with a chemical potential. Using high temperature expansion techniques the partition sum is mapped exactly onto the partition sum of a flux model. In the flux representation…

High Energy Physics - Lattice · Physics 2011-06-13 Christof Gattringer