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The 3-D Z(3) Potts model is a model for finite temperature QCD with heavy quarks. The chemical potential in QCD becomes an external magnetic field in the Potts model. Following Alford et al.\cite{Alford_et_al}, we revisit this mapping, and…

High Energy Physics - Lattice · Physics 2007-05-23 Seyong Kim , Ph. de Forcrand , S. Kratochvila , T. Takaishi

The three-state Potts field theory in two dimensions with thermal and magnetic perturbations provides the simplest model of confinement allowing for both mesons and baryons, as well as for an extended phase with deconfined quarks. We study…

High Energy Physics - Theory · Physics 2009-11-18 Luca Lepori , Gabor Zsolt Toth , Gesualdo Delfino

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 study the baryon-quark phase transition in a molecular dynamics (MD) of quark degrees of freedom at finite temperature and density. The baryon state at low density and temperature, and the deconfined quark state at high density and…

Nuclear Theory · Physics 2009-11-11 Yuka Akimura , Toshiki Maruyama , Naotaka Yoshinaga , Satoshi Chiba

An asymmetric generalization of the zero-temperature q-state Potts model on a one dimensional lattice, with and without boundaries, has been studied. The dynamics of the particle number, and specially the large time behavior of the system…

Condensed Matter · Physics 2009-11-07 N. Majd , A. Aghamohammadi , M. Khorrami

We present a model for quark matter with a density dependent quark-quark (confining) potential, which allows to describe a deconfinement phase transition as the system evolves from a low density assembly of bound structures to a high…

High Energy Physics - Phenomenology · Physics 2016-09-01 W. M. Alberico , M. Nardi , S. Quattrocolo

The chromoelectric field generated by a static quark-antiquark pair, with its peculiar tube-like shape, can be nicely described, at zero temperature, within the dual superconductor scenario for the QCD confining vacuum. In this work we…

High Energy Physics - Lattice · Physics 2016-06-16 Paolo Cea , Leonardo Cosmai , Francesca Cuteri , Alessandro Papa

The (3+1)-dimensional ideal hydrodynamics is used to simulate collisions of gold nuclei with bombarding energies from 1 to 160 GeV per nucleon. The initial state is represented by two cold Lorentz-boosted nuclei. Two equations of state:…

High Energy Physics - Phenomenology · Physics 2015-05-20 I. N. Mishustin , A. V. Merdeev , L. M. Satarov

The confinement-deconfinement transition is discussed from topological viewpoints. The topological change of the system is achieved by introducing the dimensionless imaginary chemical potential ($\theta$). Then, the non-trivial free-energy…

High Energy Physics - Phenomenology · Physics 2017-08-17 Kouji Kashiwa , Akira Ohnishi

We construct the exact partition function of the Potts model on a complete graph subject to external fields with linear and nematic type couplings. The partition function is obtained as a solution to a linear diffusion equation and the free…

Mathematical Physics · Physics 2019-08-14 Paolo Lorenzoni , Antonio Moro

The boiling of possible quark nuggets during the quark-hadron phase transition of the Universe at nonzero chemical potential is revisited within the microscopic Brueckner-Hartree-Fock approach employed for the hadron phase, using two kinds…

Cosmology and Nongalactic Astrophysics · Physics 2014-08-07 Ang Li , Tong Liu , Philipp Gubler , Ren-Xin Xu

One of the most important phase transition in physics is the Deconfinement Phase Transition in thermal Quantum ChromoDynamics. Due to the confinement property, we study the effect of colorlessness condition during the Deconfinement Phase…

High Energy Physics - Phenomenology · Physics 2019-02-14 M. A. A. Ahmeda. Cherif , M. Ladreme , H. Zainuddin , N. M. Shah

We show that a fluid under strong spatially periodic confinement displays a glass transition within mode-coupling theory (MCT) at a much lower density than the corresponding bulk system. We use fluctuating hydrodynamics, with confinement…

Soft Condensed Matter · Physics 2013-03-14 Saroj Kumar Nandi , Sarika Maitra Bhattacharyya , Sriram Ramaswamy

Boundary critical phenomena are studied in the 3- State Potts model in 2 dimensions using conformal field theory, duality and renormalization group methods. A presumably complete set of boundary conditions is obtained using both fusion and…

Condensed Matter · Physics 2009-10-31 Ian Affleck , Masaki Oshikawa , Hubert Saleur

We consider non-equilibrium dynamics after quantum quenches in the mixed-field three-state Potts quantum chain in the ferromagnetic regime. Compared to the analogous setting for the Ising spin chain, the Potts model has a much richer…

Statistical Mechanics · Physics 2025-03-05 Octavio Pomponio , Anna Krasznai , Gábor Takács

We show that for all sufficiently large d, the uniform proper 3-coloring model (in physics called the 3-state antiferromagnetic Potts model at zero temperature) on Z^d admits multiple maximal-entropy Gibbs measures. This is a consequence of…

Combinatorics · Mathematics 2012-10-17 David Galvin , Jeff Kahn , Dana Randall , Gregory Sorkin

Monte Carlo simulations of lattice QCD at non-zero baryon chemical potential $\mu$ suffer from the notorious complex action problem. We consider QCD with static quarks coupled to a large chemical potential. This leaves us with an SU(3)…

High Energy Physics - Lattice · Physics 2009-11-07 M. Alford , S. Chandrasekharan , J. Cox , U. -J. Wiese

In the absence of a confining potential, the boson Hubbard model in its ground state is known to exhibit a superfluid to Mott insulator quantum phase transition at commensurate fillings and strong on-site repulsion. In this paper, we use…

Superconductivity · Physics 2008-11-03 G. G. Batrouni , V. Rousseau , R. T. Scalettar , M. Rigol , A. Muramatsu , P. J. H. Denteneer , M. Troyer

Flux-string models can be used to study the deconfining phase transition. In this note, we study the models proposed by Patel. We also study the large N_c limits of Patel's model. To discuss the validity of the mean field theory results,…

High Energy Physics - Theory · Physics 2009-10-30 Arshad Momen , Carl Rosenzweig

We study the $q$-state Potts models on a cubic lattice in the thermodynamic limit using tensor renormalization group transformations with the triad approximation. By computing the thermodynamic potentials, we locate the first-order phase…

High Energy Physics - Lattice · Physics 2022-01-07 Raghav G. Jha
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