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The thermodynamic potential and thermal dependence of low lying mass spectra of scalars and pseudoscalars are evaluated in a generalized Nambu -- Jona-Lasinio model, which incorporates eight-quark interactions. These are necessary to…

High Energy Physics - Phenomenology · Physics 2009-11-13 B. Hiller , A. A. Osipov , J. Moreira , A. H. Blin

The phase diagram of the two-dimensional Nambu-Jona-Lasinio (or chiral Gross-Neveu) model is characterized by an order parameter in the form of a chiral spiral. Its radius vanishes at a critical temperature, its period depends only on the…

High Energy Physics - Theory · Physics 2018-12-05 Michael Thies

We study the critical point in the QCD phase diagram in the Nambu-Jona-Lasino (NJL) model by including a scalar-vector coupled interaction. We find that varying the strength of this interaction, which has no effect on the vacuum properties…

Nuclear Theory · Physics 2021-01-13 Kai-Jia Sun , Che-Ming Ko , Shanshan Cao , Feng Li

We study the kinetics of chiral transitions in quark matter using a microscopic framework (Nambu-Jona-Lasinio model) and a phenomenological model (Ginzburg-Landau free energy). We focus on the coarsening dynamics subsequent to a quench from…

High Energy Physics - Phenomenology · Physics 2017-08-23 Awaneesh Singh , Sanjay Puri , Hiranmaya Mishra

It is believed at present that the chiral transition changes from a smooth crossover to a first-order transition at low temperatures and high densities. Such regime is commonly analyzed using effective models since first principle…

Nuclear Theory · Physics 2025-11-20 R. M. Aguirre

We investigate the phase diagram of strongly interacting matter as a function of temperature and baryonic density/chemical potential, within Nambu--Jona-Lasinio type models. We perform a systematic study concerning the existence, location,…

High Energy Physics - Phenomenology · Physics 2008-11-26 Pedro Costa , M. C. Ruivo , C. A. de Sousa

The chiral phase transition induced by a charged scalar field is investigated numerically in a lattice fermion-gauge-scalar model with U(1) gauge symmetry, proposed recently as a model for dynamical fermion mass generation. For very strong…

High Energy Physics - Lattice · Physics 2009-10-28 W. Franzki , C. Frick , J. Jersak , X. Q. Luo

The mesonic quantum fluctuations and their corrections on the chiral condensate and pion polarization function are investigated in the self-consistent scheme of SU(2) Nambu-Jona-Lasinio model by exactly calculating the next-to-leading order…

High Energy Physics - Phenomenology · Physics 2009-11-07 Mei Huang , Pengfei Zhuang , Weiqin Chao

An effective relativistic kinetic theory has been constructed for an interacting system of quarks, anti-quarks and gluons within a quasi-particle description of hot QCD medium at finite temperature and baryon chemical potential, where the…

Nuclear Theory · Physics 2018-03-07 Sukanya Mitra , Vinod Chandra

These lecture notes include the following topics. Chapter 1 deals with QCD and its global symmetries in the chiral limit, explicit symmetry breaking in terms of the quark masses, and the concept of Green functions and Ward identities…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stefan Scherer , Matthias R. Schindler

The effects of meson loops in the vacuum sector of the Nambu--Jona-Lasinio model are calculated. Using the effective action formalism we take consistently all next-to-leading-order $1 \over \Nc$ terms into account. This leads to a…

High Energy Physics - Phenomenology · Physics 2009-10-28 E. Nikolov , W. Broniowski , C. V. Christov , G. Ripka , K. Goeke

The mechanism of dynamical chiral symmetry breaking is studied in the Abelian version of the gauged Nambu-Jona-Lasinio model in four dimensions. The most interesting feature of the gauged Nambu-Jona-Lasinio model is the appearance of…

High Energy Physics - Theory · Physics 2007-05-23 Manuel Reenders

The Nambu-Jona-Lasinio model reduced to 2+1 dimensions has two different path integral formulations: at finite chemical potential one formulation has a severe sign problem similar to that found in QCD, while the other does not. At large N,…

High Energy Physics - Lattice · Physics 2013-01-25 Dorota Grabowska , David B. Kaplan , Amy N. Nicholson

We investigate quark potential by considering meson exchanges in the two flavor Nambu--Jona-Lasinio model at finite temperature and density. There are two kinds of oscillations in the chiral restoration phase, one is the Friedel oscillation…

Nuclear Theory · Physics 2008-12-18 Chengfu Mu , Pengfei Zhuang

We investigate the vacuum realignment for chiral symmetry breaking and color superconductivity at finite density in Nambu-Jona-Lasinio model in a variational method. The treatment allows us to investigate simultaneous formation of…

High Energy Physics - Phenomenology · Physics 2009-11-10 Amruta Mishra , Hiranmaya Mishra

The Polyakov loop and the chiral condensate are used as order parameters to explore analytically the possible phase structure of finite temperature QCD. Nambu-Jona-Lasinio models in a background temporal gauge field are combined with a…

High Energy Physics - Lattice · Physics 2009-10-28 Peter N. Meisinger , Michael C. Ogilvie

The dynamics of partons, hadrons and strings in relativistic nucleus-nucleus collisions is analyzed within the novel Parton-Hadron-String Dynamics (PHSD) transport approach, which is based on a dynamical quasiparticle model for partons…

Nuclear Theory · Physics 2014-11-20 W. Cassing , E. L. Bratkovskaya

We systematically study the chiral symmetry breaking and restoration in the presence of a pure electric field in the Nambu--Jona-Lasinio (NJL) model at finite temperature and baryon chemical potential. In addition, we also study the effect…

Nuclear Theory · Physics 2016-01-22 Gaoqing Cao , Xu-Guang Huang

Quantum chromodynamics (QCD) at finite temperature, $T$, and quark chemical potential, $\mu$, has a rich phase structure: at low $T$ and low $\mu$, the Nambu-Goldstone (NG) phase with nearly massless pions is realized by the dynamical…

High Energy Physics - Phenomenology · Physics 2015-05-14 Tetsuo Hatsuda , Kenji Maeda

We develop a new approach for sketching the quantum chromodynamics phase-diagram within the Nambu--Jona-Lasinio model for arbitrarily large values of the coupling constant, temperature and chemical potential based upon the strategy of…

High Energy Physics - Phenomenology · Physics 2019-09-30 Angelo Martínez , Alfredo Raya