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We study the Nambu-Jona-Lasinio model with light and heavy quarks in a relativistic approach. We emphasize relevant regularization issues as well as the transition from light to heavy quarks. The approach of the electromagnetic meson form…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. L. Mota , E. Ruiz Arriola

Temperature dependence of the quark condensate is studied in the Nambu--Jona-Lasinio model with meson loops. Substantial differences are found compared to the results with quark loops only.

High Energy Physics - Phenomenology · Physics 2009-10-28 Wojciech Florkowski , Wojciech Broniowski

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

The goal of this work is apply field theory methods to discuss turbulence in relativistic real fluids. We shalltake as representtive model an Israel-Stewart framework, where the conservation laws for the energy-momentum tensor are…

Fluid Dynamics · Physics 2026-05-26 Esteban Calzetta

Quantum fluid (or hydrodynamic) models provide an attractive alternative for the modeling and simulation of the electron dynamics in nano-scale objects. Compared to more standard approaches, such as density functional theory or phase-space…

Quantum Physics · Physics 2021-10-12 Giovanni Manfredi , Paul-Antoine Hervieux , Jérôme Hurst

Fluctuations of baryon, charge and strangeness have been investigated in Polyakov loop enhanced Nambu--Jona-Lasinio model. Multiple reflection expansion method has been incorporated to include the surface and curvature energy along with the…

High Energy Physics - Phenomenology · Physics 2022-09-15 Paramita Deb , Raghava Varma

We treat quantum chromodynamics (QCD) using a set of Dyson-Schwinger equations derived, in differential form, with the Bender-Milton-Savage technique. In this way, we are able to derive the low energy limit that assumes the form of a…

High Energy Physics - Phenomenology · Physics 2022-11-22 Marco Frasca , Anish Ghoshal , Stefan Groote

The present work generalizes a nonlocal version of the Polyakov loop-extended Nambu and Jona-Lasinio (PNJL) model to the case of three active quark flavors, with inclusion of the axial U(1) anomaly. Gluon dynamics is incorporated through a…

High Energy Physics - Phenomenology · Physics 2010-06-15 T. Hell , S. Rößner , M. Cristoforetti , W. Weise

Recently, it has been shown that the standard Nambu-Jona-Lasinio (NJL) model is not able to reproduce the correct QCD behavior of the gap equation at large density, and therefore a different cutoff procedure at large momenta has ben…

High Energy Physics - Phenomenology · Physics 2017-08-23 M. Baldo , G. F. Burgio , P. Castorina , S. Plumari , D. Zappalá

A short review of the development of the Nambu-Jona-Lasinio (NJL) model is given. The SU(2)x SU(2) and U(3)x U(3) local quark NJL models are considered. The mechanisms of spontaneous breaking of chiral symmetry and vector dominance are…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. K. Volkov , A. E. Radzhabov

The Nambu--Jona-Lasino model is modified by the inclusion of a running-coupling that was obtained by a fractal approach to Quantum Chromodynamics. The coupling follows a $q$-exponential function and, in the context of high energy…

High Energy Physics - Phenomenology · Physics 2024-12-17 E. Megias , M. J. Teixeira , V. S. Timóteo , A. Deppman

We consider diffusion processes with the help of Markov random walk models. Especially the process of diffusion of a relativistic particle in a relativistic equilibrium system is considered. We interpret one of the results as causal Zeno…

Statistical Mechanics · Physics 2009-10-26 Ji-Rong Ren , Ming-fan Li , Tao Zhu

We evaluate the next-to-leading order correction to the Nambu-Jona-Lasinio model starting from quantum chromodynamics. We show that a systematic expansion exists, starting from a given set of exact classical solutions, so that higher order…

High Energy Physics - Phenomenology · Physics 2016-11-24 Marco Frasca

The Nambu-Jona-Lasinio model is supplemented by the quark interaction generated by the one-gluon exchange. The employed gluon propagator exhibits the correct large momentum behavior of QCD, whereas the Landau-pole at low energies is…

High Energy Physics - Phenomenology · Physics 2009-10-28 Kurt Langfeld , Christiane Kettner , Hugo Reinhardt

We explore the phase diagram and the critical behavior of QCD thermodynamic quantities in the context of the so-called Polyakov--Nambu--Jona-Lasinio model. We show that this improved field theoretical model is a successful candidate for…

High Energy Physics - Phenomenology · Physics 2010-02-03 Pedro Costa , H. Hansen , M. C. Ruivo , C. A. de Sousa

We generalize a non-local Nambu-Jona-Lasinio model to a generic representation of the gauge group. The critical temperature is given in a closed form as a function of the parameters of the theory and the cut-off. This result is generally…

High Energy Physics - Phenomenology · Physics 2012-01-31 Marco Frasca

We have estimated parallel and perpendicular components of electrical conductivity and shear viscosity of quark matter at finite magnetic field and temperature by using their one-loop Kubo expressions in the framework of Nambu--Jona-Lasinio…

High Energy Physics - Phenomenology · Physics 2023-06-28 Aritra Bandyopadhyay , Snigdha Ghosh , Ricardo L. S. Farias , Sabyasachi Ghosh

Generalised Nambu-Jona-Lasinio model for QCD is considered at finite temperatures in the framework of a real-time formalism. The proposed approach allows one to study various properties of the model at T>0, such as chiral symmetry breaking…

High Energy Physics - Phenomenology · Physics 2015-05-13 A. V. Nefediev , J. E. F. T. Ribeiro

Based on the three-flavor Polyakov-looped Nambu$-$Jona-Lasinio (pNJL) model, we have studied the structure of the three-dimensional QCD phase diagram with respect to the temperature, the baryon chemical potential, and the isospin chemical…

High Energy Physics - Phenomenology · Physics 2024-02-06 Lu-Meng Liu , Jun Xu , Guang-Xiong Peng

It has been recently pointed out, that nonlocal Nambu--Jona-Lasinio models, may present unphysical thermodynamical behavior like negative pressure and oscillating entropy. Here we show how these thermodynamic instabilities can be related to…

High Energy Physics - Phenomenology · Physics 2014-09-02 M. Loewe , F. Marquez , C. Villavicencio