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The relation between the deconfinement and chiral phase transition is explored in the framework of an Polyakov-loop-extended two-flavor quark-meson (PQM) model. In this model the Polyakov loop dynamics is represented by a background…

High Energy Physics - Phenomenology · Physics 2008-11-26 Bernd-Jochen Schaefer , Jan M. Pawlowski , Jochen Wambach

We discuss properties of local Polyakov loops in the deconfinement transition of SU(3) lattice gauge theory at finite temperature using the fixed scale approach. In particular we study spatial clusters where local Polyakov loops have phases…

High Energy Physics - Lattice · Physics 2013-11-01 Hans-Peter Schadler , Gergely Endrődi , Christof Gattringer

In mean field approximation, the grand canonical potential of SU(3) Polyakov linear-$\sigma$ model (PLSM) is analysed for chiral phase-transition, $\sigma_l$ and $\sigma_s$ and for deconfinement order-parameters, $\phi$ and $\phi^*$ of…

Nuclear Theory · Physics 2016-11-16 Abdel Nasser Tawfik , Abdel Magied Diab , M. T. Hussein

Many statistical mechanics problems can be framed in terms of random curves; we consider a class of three-dimensional loop models that are prototypes for such ensembles. The models show transitions between phases with infinite loops and…

Statistical Mechanics · Physics 2015-03-19 Adam Nahum , J. T. Chalker , P. Serna , M. Ortuño , A. M. Somoza

We study the implications of the spontaneous and explicit Z(3) center symmetry breaking for the Polyakov loop susceptibilities. To this end, ratios of the susceptibilities of the real and imaginary parts, as well as of the modulus of the…

High Energy Physics - Phenomenology · Physics 2018-06-13 Pok Man Lo , Michał Szymański , Krzysztof Redlich , Chihiro Sasaki

The phase diagram at finite temperature and density is investigated in the framework of the Polyakov linear sigma model (PLSM) with three light quark flavors in the mean field approximation. It is found that in the PLSM, the three phase…

High Energy Physics - Phenomenology · Physics 2010-01-28 Hong Mao , Jinshuang Jin , Mei Huang

In two-dimensional Yang-Mills and generalized Yang-Mills theories for large gauge groups, there is a dominant representation determining the thermodynamic limit of the system. This representation is characterized by a density the value of…

High Energy Physics - Theory · Physics 2008-11-26 M. Khorrami , M. Alimohammadi

We present a combination of analytical and numerical calculations for the critical behavior of a supersymmetric non-linear $\sigma$-model within the context of the localization transition of a disordered one-electron system. As a result, we…

Condensed Matter · Physics 2009-10-28 Thomas Dupré

We consider the statistical mechanics of a class of models involving close-packed loops with fugacity $n$ on three-dimensional lattices. The models exhibit phases of two types as a coupling constant is varied: in one, all loops are finite,…

Statistical Mechanics · Physics 2013-10-15 Adam Nahum , J. T. Chalker , P. Serna , M. Ortuno , A. M. Somoza

Integral equation theory calculations within the mean spherical approximation (MSA) and grand canonical Monte Carlo (MC) simulations are employed to study the phase behaviour of a symmetrical binary fluid mixture in the presence of a field…

Statistical Mechanics · Physics 2009-11-11 Juergen Koefinger , Gerhard Kahl , Nigel B. Wilding

The effective action of the SU(N) Polyakov loop model in the strong coupling region and in the static limit for the quark determinant can be mapped onto the Ising model in any dimensions, with the Ising variables attached on the links of…

High Energy Physics - Lattice · Physics 2023-09-20 B. Allés , O. Borisenko , A. Papa , S. Voloshyn

We study two effective models for QCD, the Nambu-Jona-Lasinio -model and the linear sigma model extended by including a Polyakov loop potential, which is fitted to reproduce pure gauge theory thermodynamics, and a coupling between the…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. Kahara , K. Tuominen

We derive an analytic expression for point-to-point correlation functions of the Polyakov loop based on the transfer matrix formalism. For the $2d$ Ising model we show that the results deduced from point-point spin correlators are…

High Energy Physics - Lattice · Physics 2009-10-28 J. ~Engels , V. K. ~Mitrjushkin , T. ~Neuhaus

The addition of an adjoint Polyakov loop term to the action of a pure gauge theory at finite temperature leads to new phases of SU(N) gauge theories. For SU(3), a new phase is found which breaks Z(3) symmetry in a novel way; for SU(4), the…

High Energy Physics - Lattice · Physics 2008-11-26 Joyce C. Myers , Michael C. Ogilvie

We describe how the general mechanism of partial deconfinement applies to large-$N$ QCD and the partially-deconfined phase inevitably appears between completely-confined and completely-deconfined phases. Furthermore, we propose how the…

High Energy Physics - Lattice · Physics 2023-12-29 Masanori Hanada , Hiroki Ohata , Hidehiko Shimada , Hiromasa Watanabe

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

We explore the Coleman-Weinberg phase transition in regions outside the validity of perturbation theory. For this purpose we study a Euclidean field theory with two scalars and discrete symmetry in four dimensions. The phase diagram is…

High Energy Physics - Theory · Physics 2014-11-18 S. Bornholdt , N. Tetradis , C. Wetterich

We study the properties of the Polyakov loop in strongly-coupled gauge plasmas that are conjectured to be dual to five dimensional theories of gravity coupled to a nontrivial single scalar field. We find a gravity dual that can describe the…

High Energy Physics - Theory · Physics 2014-11-20 Jorge Noronha

To leading order in perturbation theory, we solve QCD, defined on a small three sphere in the large N and Nf limit, at finite chemical potential and map out the phase diagram in the (mu,T) plane. The action of QCD is complex in the presence…

High Energy Physics - Theory · Physics 2015-03-13 Simon Hands , Timothy J. Hollowood , Joyce C. Myers

I describe a study of the two-point single-eigenvalue distribution correlation function of Polyakov loops in the confined phase of four dimensional SU(N) YM theory at large N. The reasons for the interest in this correlation function are…

High Energy Physics - Lattice · Physics 2014-10-14 Herbert Neuberger