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For the exploration of the phase diagram of QCD, effective Polyakov loop theories derived from lattice QCD provide a valuable tool in the heavy quark mass regime. In practice, the evaluation of these theories is complicated by the…

High Energy Physics - Lattice · Physics 2022-12-09 Christoph Konrad , Owe Philipsen , Jonas Scheunert

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 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

The thermodynamics of QCD with sufficiently heavy dynamical quarks can be described by a three-dimensional Polyakov loop effective theory, obtained after a truncated character and hopping expansion. We investigate the resulting phase…

High Energy Physics - Lattice · Physics 2022-12-20 Amine Chabane , Owe Philipsen

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

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 compare SU(2) Polyakov loop models with different effective actions with data from full two-color QCD simulations around and above the critical temperature. We then apply the effective theories at finite temperature and density to…

High Energy Physics - Lattice · Physics 2014-12-23 Philipp Scior , David Scheffler , Dominik Smith , Lorenz von Smekal

Lattice QCD with heavy quarks reduces to a three-dimensional effective theory of Polyakov loops, which is amenable to series expansion methods. We analyse the effective theory in the cold and dense regime for a general number of colours,…

High Energy Physics - Lattice · Physics 2020-01-08 Owe Philipsen , Jonas Scheunert

QCD at finite density presents specific challenges to lattice gauge theory. Nonetheless, a region of the QCD phase diagram up to moderately large baryon chemical potentials has been successfully explored on the lattice and new results and…

High Energy Physics - Lattice · Physics 2008-11-26 M. -P. Lombardo

With combined hopping parameter and strong coupling expansions, we calculate a dimensionally reduced Polyakov-loop effective theory valid for heavy quarks at nonzero temperature and arbitrary chemical potential. We numerically compute the…

High Energy Physics - Lattice · Physics 2015-06-11 Michael Fromm , Jens Langelage , Stefano Lottini , Mathias Neuman , Owe Philipsen

We investigate the QCD phase diagram by using the strong-coupling expansion of the lattice QCD with one species of staggered fermion and the Polyakov loop effective action at finite temperature (T) and quark chemical potential (mu). We…

High Energy Physics - Lattice · Physics 2011-06-08 Kohtaroh Miura , Takashi Z. Nakano , Akira Ohnishi , Noboru Kawamoto

The properties of matter at finite baryon densities play an important role for the astrophysics of compact stars as well as for heavy ion collisions or the description of nuclear matter. Because of the sign problem of the quark determinant,…

High Energy Physics - Lattice · Physics 2017-04-05 Owe Philipsen

The status of lattice QCD investigations at high temperature is reviewed. After a short introduction into thermal QCD on the lattice we report on the present understanding of the phase diagram and the equation of state, in particular in…

High Energy Physics - Phenomenology · Physics 2009-11-10 E. Laermann , O. Philipsen

I discuss different approaches to finite density lattice QCD. In particular, I focus on the structure of the phase diagram and discuss attempts to determine the location of the critical end-point. Recent results on the transiton line as…

High Energy Physics - Lattice · Physics 2008-11-26 Christian Schmidt

This is a review of strong coupling approaches to grasp the nature of the phase transition in finite temperature and density QCD. We commence with classics of the center symmetry and the Polyakov loop in pure gauge theories. The effective…

High Energy Physics - Phenomenology · Physics 2008-11-26 Kenji Fukushima

Lattice techniques are the most reliable ones to investigate the QCD phase diagram in the temperature-baryon density (chemical potential) plane. These techniques are, however, well-known to be saddled with a variety of problems at nonzero…

High Energy Physics - Lattice · Physics 2021-12-01 Rajiv V. Gavai

We review the recent progress achieved in the theoretical investigation of Quantum Chromodynamics in the high temperature regime, with a focus on results achieved by lattice QCD simulations. The discussion covers the structure of the phase…

High Energy Physics - Lattice · Physics 2019-02-20 Massimo D'Elia

Using combined strong coupling and hopping parameter expansions, we derive an effective three-dimensional theory from thermal lattice QCD with heavy Wilson quarks. The theory depends on traced Polyakov loops only and correctly reflects the…

High Energy Physics - Lattice · Physics 2012-01-27 Michael Fromm , Jens Langelage , Stefano Lottini , Owe Philipsen

NJL-type effective models represent a low-energy realization of QCD and incorporate pertinent aspects such as chiral symmetry and its spontaneous breaking, the center symmetry in the heavy-quark limit as well as the axial anomaly. One such…

High Energy Physics - Phenomenology · Physics 2010-11-01 Jochen Wambach , Bernd-Jochen Schaefer , Mathias Wagner

Effective Polyakov loop theories are a useful tool for an investigation of pure Yang-Mills theory and full QCD. A systematic derivation of the effective action can be done in a spatial strong coupling expansion. Quite accurate predictions…

High Energy Physics - Lattice · Physics 2013-11-27 Georg Bergner , Jens Langelage , Owe Philipsen
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