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The strong-coupling expansion of the lattice gauge action leads to Polyakov-loop models that effectively describe gluodynamics at low temperatures, and together with the hopping expansion of the fermion determinant provides insight into the…

High Energy Physics - Lattice · Physics 2016-12-02 Bardiya Bahrampour , Björn Wellegehausen , Lorenz von Smekal

A nonlocal covariant extension of the two-flavor Nambu and Jona-Lasinio (NJL) model is constructed, with built-in constraints from the running coupling of QCD at high-momentum and instanton physics at low-momentum scales. Chiral low-energy…

High Energy Physics - Phenomenology · Physics 2010-04-15 T. Hell , S. Roessner , M. Cristoforetti , W. Weise

We use the Polyakov loop coupled quark-meson model to approximate low energy QCD and present results for the chiral and deconfinement transitions in the presence of a constant magnetic background $B$ at finite temperature $T$ and baryon…

High Energy Physics - Phenomenology · Physics 2015-06-17 Jens O. Andersen , William R. Naylor , Anders Tranberg

We discuss the 2+1 flavor Polyakov loop enhanced Nambu--Jona-Lasinio model in a finite volume. The main objective is to check the volume scaling of thermodynamic observables for various temperatures and chemical potentials. We observe the…

High Energy Physics - Phenomenology · Physics 2017-01-31 Abhijit Bhattacharyya , Sanjay K. Ghosh , Rajarshi Ray , Kinkar Saha , Sudipa Upadhaya

Phase transitions in the imaginary chemical potential region are studied by the Polyakov loop extended Nambu-Jona-Lasinio (PNJL) model that possesses the extended Z3 symmetry. The extended Z3 invariant quantities such as the partition…

High Energy Physics - Phenomenology · Physics 2008-11-26 Yuji Sakai , Kouji Kashiwa , Hiroaki Kouno , Masanobu Yahiro

Lattice QCD has the sign problem at real quark chemical potential. There are some regions with no sign problem; one is the imaginary quark chemical potential region and the others are the real and imaginary isospin chemical potential…

High Energy Physics - Phenomenology · Physics 2011-03-18 Yuji Sakai , Takahiro Sasaki , Hiroaki Kouno , Masanobu Yahiro

We derive an analytic expression for point to point correlation functions of the Polyakov loop based on the transfer matrix formalism. The contributions from the eigenvalues of the transfer matrix including and beyond the mass gap are…

High Energy Physics - Lattice · Physics 2009-10-22 J. Engels , V. K. Mitrjushkin , T. Neuhaus

In quenched QCD the Polyakov loop is an order parameter of the deconfinement transition, but with decreasing quark mass, the peak in the Polyakov loop susceptibility becomes less pronounced, and it loses its interpretation as an indicator…

High Energy Physics - Lattice · Physics 2024-01-04 David A. Clarke , Olaf Kaczmarek , Frithjof Karsch , Anirban Lahiri

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

Thermodynamics and the phase structure of the Polyakov loop-extended two flavor chiral quark-meson model (PQM) are explored. The analysis of the PQM model is based on the functional renormalization group (FRG) method. An appropriate…

High Energy Physics - Phenomenology · Physics 2014-11-20 V. Skokov , B. Stokic , B. Friman , K. Redlich

Sufficiently energetic collisions of heavy ions result in the formation of a droplet of a strongly coupled liquid state of QCD matter known as quark-gluon plasma. By using gauge-gravity duality (holography), a model of a rapidly…

High Energy Physics - Theory · Physics 2019-12-25 Åsmund Folkestad , Sašo Grozdanov , Krishna Rajagopal , Wilke van der Schee

We study a simple lattice model with local symmetry, whose construction is based on a crossed module of finite groups. Its dynamical degrees of freedom are associated both to links and faces of a four-dimensional lattice. In special limits…

High Energy Physics - Lattice · Physics 2021-09-29 Arkadiusz Bochniak , Leszek Hadasz , Piotr Korcyl , Błażej Ruba

A model for particle production at the deconfining phase transition in QCD is developed, as the semi-classical decay of a condensate for the Polyakov loop. In such a model, generically particle production, as measured on an event-by-event…

High Energy Physics - Phenomenology · Physics 2009-10-31 Adrian Dumitru , Robert D. Pisarski

We consider the difficulties of finite density QCD from the canonical formalism. We present results for small baryon numbers, where the sign problem can be controlled, in particular by supplementing the mu=0 sampling with imaginary mu…

High Energy Physics - Lattice · Physics 2009-11-10 Slavo Kratochvila , Philippe de Forcrand

A density functional theory for the bulk phase diagram of two-dimensional orientable hard rods is proposed and tested against Monte Carlo computer simulation data. In detail, an explicit density functional is derived from fundamental mixed…

Soft Condensed Matter · Physics 2017-10-09 René Wittmann , Christoph E. Sitta , Frank Smallenburg , Hartmut Löwen

We consider complex saddle points in QCD at finite temperature and density, which are constrained by symmetry under charge and complex conjugations. This approach naturally incorporates color neutrality, and the Polyakov loop and the…

High Energy Physics - Phenomenology · Physics 2015-03-03 Hiromichi Nishimura , Michael C. Ogilvie , Kamal Pangeni

We summarize recent results on the hadron resonance gas description of QCD. In particular, we apply this approach to describe the equation of state and the vacuum expectation value of the Polyakov loop in several representations.…

High Energy Physics - Phenomenology · Physics 2015-06-17 E. Megias , E. Ruiz Arriola , L. L. Salcedo

We propose a new method for simulating QCD at finite density, where interesting phases such as the color superconductivity phase is conjectured to appear. The method is based on a general factorization property of distribution functions of…

High Energy Physics - Lattice · Physics 2017-08-23 Jun Nishimura

We use the two-flavor Linear Sigma Model with quarks as an effective description of QCD to investigate the nature of the chiral phase transition at finite baryon chemical potential and zero temperature. We work at one-loop order to set up…

High Energy Physics - Phenomenology · Physics 2026-04-23 Alejandro Ayala , Bruno El-Bennich , Ricardo L. S. Farias , Luis A. Hernández , Bruno S. Lopes , Luis C. Parra L. , Renato Zamora

We show that the magnitude of the order parameters in Polyakov-Nambu-Jona-Lasinio (PNJL) model, given by the quark condensate and the Polyakov loop, can be used as a criterium to clearly identify, without ambiguities, phases and boundaries…

High Energy Physics - Phenomenology · Physics 2014-06-26 M. Dutra , O. Lourenço , A. Delfino , T. Frederico , M. Malheiro