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In this article we study the finite temperature and chemical potential effects in a nonlocal Nambu-Jona-Lasinio (nNJL) model in the real time formalism. We make the usual Wick rotation to get from imaginary to real time formalism. In doing…

High Energy Physics - Phenomenology · Physics 2013-09-11 M. Loewe , F. Marquez , C. Villavicencio

We test the reliability of the the Polyakov-loop extended Nambu-Jona-Lasinio (PNJL) model, comparing the model result with the lattice data at nonzero imaginary chemical potential. The PNJL model with the vector-type four-quark and…

High Energy Physics - Phenomenology · Physics 2009-08-21 Yuji Sakai , Kouji Kashiwa , Hiroaki Kouno , Masayuki Matsuzaki , Masanobu Yahiro

We give a theoretical framework to obtain a low-energy effective theory of quantum chromodynamics (QCD) towards a first-principle derivation of confinement/deconfinement and chiral-symmetry breaking/restoration crossover transitions. In…

High Energy Physics - Theory · Physics 2015-03-17 Kei-Ichi Kondo

Light-cone distribution amplitudes (LCDAs) are essential nonperturbative quantities for theoretical predictions of exclusive high-energy processes in quantum chromodynamics (QCD). We demonstrate the prospect of calculating LCDAs on a…

High Energy Physics - Phenomenology · Physics 2023-10-19 Tianyin Li , Xingyu Guo , Wai Kin Lai , Xiaohui Liu , Enke Wang , Hongxi Xing , Dan-Bo Zhang , Shi-Liang Zhu

The QCD transition from a hadronic to a quark-gluon plasma phase is a cross-over at vanishing/small baryo-chemical potential, while at higher chemical potentials it is argued that it becomes of first order, ending with a critical end-point.…

High Energy Physics - Phenomenology · Physics 2020-12-30 M. Motta , W. M. Alberico , A. Beraudo , P. Costa , R. Stiele

We derive the next-to-leading order correction to the Nambu-Jona-Lasinio model starting from quantum chromodynamics. So, we are able to fix the constants of the Nambu-Jona-Lasinio model from quantum chromodynamics and analyze the behavior…

High Energy Physics - Phenomenology · Physics 2017-03-21 Marco Frasca

A relativistic diffusion model with cylindrical symmetry, which propagates an initial state based on quantum chromodynamics in time towards a thermal equilibrium limit, is derived from nonequilibrium-statistical considerations: Adapting an…

High Energy Physics - Phenomenology · Physics 2024-03-29 Johannes Hoelck , Georg Wolschin

In this review, we summarize recent progress on the possible phases of quantum chromodynamics (QCD) in the presence of a strong magnetic field, mainly from the views of the chiral effective Nambu--Jona-Lasinio model. Four kinds of phase…

High Energy Physics - Phenomenology · Physics 2023-02-22 Gaoqing Cao

We investigate the phase diagram of the so-called Polyakov--Nambu--Jona-Lasinio (PNJL) model at finite temperature and nonzero chemical potential. The calculations are performed in the light and strange quark sectors ($u$, $d$, $s$), which…

High Energy Physics - Phenomenology · Physics 2015-03-20 P. Costa , C. A. de Sousa , M. C. Ruivo , H. Hansen , O. Oliveira , P. J. Silva

The phase diagram of Quantum Chromodynamics (QCD) remains a central topic in high-energy physics. At high temperature and low baryochemical potential, the chiral transition is experimentally observed and theoretically explored to be a…

High Energy Physics - Phenomenology · Physics 2026-03-31 Alejandro Rosas Díaz , Alfredo Raya , C. A. Vaquera Araujo , S. Hernández-Ortiz

Dissipative relativistic fluid dynamics is not always causal and can favor superluminal signal propagation under certain circumstances. On the other hand, high-energy nuclear collisions have a microscopic description in terms of QCD and are…

Nuclear Theory · Physics 2018-09-26 Stefan Floerchinger , Eduardo Grossi

The random intensity of noise approach to 1D Laval-Dubrulle-Nazarenko model is used to describe Lagrangian acceleration of a fluid particle in developed turbulence. Intensities of noises entering nonlinear Langevin equation are assumed to…

Statistical Mechanics · Physics 2007-05-23 A. K. Aringazin , M. I. Mazhitov

In this review article, we give overview on the extended chiral quark models. In particular, how these models are extended to include the higher-order interactions, quantized fields, logarithmic potential and the effect of these…

Nuclear Theory · Physics 2017-07-26 M. Abu-Shady

We show that a class of NJL-like models fails to reproduce the expected conformal limit of the speed of sound, making them unsuitable for analyzing the equation of state of dense matter. We then demonstrate how this issue can be resolved…

Nuclear Theory · Physics 2025-07-10 Udita Shukla , Pok Man Lo

Two flavor Nambu-Jona-Lasinio model with N components is studied in curved space time at finite temperature and density in the leading 1/N expansion. In four space time dimension the model exhibits first order phase transition for positive…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ashok Goyal , Meenu Dahiya

The quantum diffusion of a particle in an initially localized state on a cyclic lattice with N sites is studied. Diffusion and reconstruction time are calculated. Strong differences are found for even or odd number of sites and the limit…

Quantum Physics · Physics 2007-05-23 A. C. de la Torre , H. O. Martin , D. Goyeneche

A detailed derivation of the Lattice Boltzmann (LB) scheme for relativistic fluids recently proposed in Ref. [1], is presented. The method is numerically validated and applied to the case of two quite different relativistic fluid dynamic…

Solar and Stellar Astrophysics · Physics 2010-12-28 M. Mendoza , B. M. Boghosian , H. J. Herrmann , S. Succi

In this work, we discuss recent results obtained with the application of the medium separation scheme (MSS) in different contexts where a clear violation of the conformal limit for the speed of sound at finite density has been observed in…

High Energy Physics - Phenomenology · Physics 2026-02-06 Francisco X. Azeredo , Arthur E. B. Pasqualotto , Bruno S. Lopes , Dyana C. Duarte , Ricardo L. S. Farias

QCD thermodynamics is studied using a model which combines Polyakov loop dynamics with spontaneous chiral symmetry breaking and its restoration (the PNJL model). The input is fixed entirely by pure-gauge lattice QCD results and by pion…

High Energy Physics - Phenomenology · Physics 2008-11-26 Wolfram Weise , Claudia Ratti , Simon Roessner

We discuss the extended Nambu-Jona-Lasinio model as a low energy expansion, all two-point functions and an example of a three-point function to all orders in momenta and quark masses. The model is treated at leading level in $1/N_c$ but…

High Energy Physics - Phenomenology · Physics 2011-03-31 J. Bijnens , J. Prades