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We investigate the influence of an external magnetic field on chiral symmetry breaking in the Nambu-Jona-Lasinio (NJL) model at finite temperature and chemical potential. According to the Fock-Schwinger proper-time method, we calculate the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Tomohiro Inagaki , Daiji Kimura , Tsukasa Murata

We briefly review the nonlinear sigma model approach for the subject of increasing interest: "two-step" phase transitions in the Gross-Neveu and the modified Nambu-Jona-Lasinio models at low $N$ and condensation from pseudogap phase in…

High Energy Physics - Theory · Physics 2014-11-18 Egor Babaev

The phase diagram for quark matter is investigated within a simple Nambu-Jona-Lasinio model without vector correlations. It is found that the phase structure in the temperature-density plane depends sensitively on the parametrization of the…

High Energy Physics - Phenomenology · Physics 2014-11-17 D. Blaschke , M. K. Volkov , V. L. Yudichev

The formalism of Riemannian geometry is applied to study the phase transitions in Nambu -Jona Lasinio (NJL) model. Thermodynamic geometry reliably describes the phase diagram, both in the chiral limit and for finite quark masses. The…

Nuclear Theory · Physics 2020-12-16 P. Castorina , D. Lanteri , S. Mancani

The linear O($N$) sigma model undergoes a symmetry restoring phase transition at finite temperature. We show that the nonlinear O($N$) sigma model also undergoes a symmetry restoring phase transition; the critical temperatures are the same…

High Energy Physics - Phenomenology · Physics 2009-10-28 Alexander Bochkarev , Joseph Kapusta

The structure of chiral symmetry restorations at finite temperature is thoroughly investigated in the supersymmetric Nambu-Jona-Lasinio model with a soft supersymmetry breaking term. It is found that the broken chiral symmetry at vanishing…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. Hashida , T. Muta , K. Ohkura

We study chiral symmetry breaking in the Nambu--Jona-Lasinio model regularized in proper-time in arbitrary space-time dimensions through an iterative procedure by writing the gap equation in the form of a discrete dynamical system with the…

High Energy Physics - Phenomenology · Physics 2018-10-03 Aftab Ahmad , Angelo Martínez , Alfredo Raya

We decribe properties of 2+1-dimensional Nambu-Jona-Lasinio (NJL) models at finite-temperature, beginning with the model with a discrete chiral symmetry. We then consider the model with a continuous $U(1) \times U(1)$ chiral symmetry,…

High Energy Physics - Phenomenology · Physics 2009-10-31 Thomas Appelquist , Myck Schwetz

We discuss in this note simultaneous existence of chiral symmetry breaking and color superconductivity at finite temperature and density in a Nambu-Jona-Lasinio type model. The methodology involves an explicit construction of a variational…

High Energy Physics - Phenomenology · Physics 2009-10-31 Hiranmaya Mishra , Jitendra C. Parikh

We review the Nambu-Jona-Lasinio (NJL) approach to the dynamical breaking of chiral symmetry in Quantum Chromodynamics (QCD). The subjects treated in Part I include the vacuum structure of QCD, mass spectra and coupling constants of…

High Energy Physics - Phenomenology · Physics 2010-11-01 T. Hatsuda , T. Kunihiro

We analyze the Nambu--Jona-Lasinio model which is a chiral effective model of QCD by using the non-perturbative renormalization group at finite temperature and finite density. We discuss the chiral phase diagram in the model. We include the…

High Energy Physics - Phenomenology · Physics 2018-12-21 Ken-Ichi Aoki , Daisuke Sato , Masatoshi Yamada

We consider a theory of gauge fields and fermions which we argue gives rise to dynamics similar to that of the Nambu--Jona-Lasinio (NJL) model when a gauge coupling constant is appropriately fine-tuned. We discuss the application of this…

High Energy Physics - Phenomenology · Physics 2016-09-01 Markus A. Luty

We study the large-N_c behavior of the critical temperature T_c for chiral symmetry restoration in the framework of the Nambu-Jona-Lasinio (NJL) model and the linear \sigma-model. While in the NJL case T_c scales as N_c^0 and is, as…

High Energy Physics - Phenomenology · Physics 2013-05-30 Achim Heinz , Francesco Giacosa , Dirk H. Rischke

We study the Nambu--Jona-Lasinio model at finite temperature and finite density by using the functional renormalization group. The RG flows of the four-fermi coupling constant in the NJL model are investigated. We obtain the chiral phase…

High Energy Physics - Phenomenology · Physics 2015-10-05 Ken-Ichi Aoki , Masatoshi Yamada

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

Soft mode near the critical end point in the phase diagram of two-flavor Nambu--Jona-Lasinio (NJL) model is investigated within the leading 1/N_c approximation with N_c being the number of the colors. It is explicitly shown by studying the…

High Energy Physics - Phenomenology · Physics 2009-11-10 H. Fujii

Effect of magnetic field on chiral symmetry breaking in a 3-flavor Nambu Jona Lasinio (NJL) model at finite temperature and densities is considered here using an explicit structure of ground state in terms of quark and antiquark…

High Energy Physics - Phenomenology · Physics 2011-07-26 Bhaswar Chatterjee , Hiranmaya Mishra , Amruta Mishra

We study the features of low energy strong interactions for a system at zero temperature and finite baryon and isospin chemical potentials, in the framework of a Nambu--Jona-Lasinio-like model that includes nonlocal four-point interactions.…

High Energy Physics - Phenomenology · Physics 2024-02-22 J. P. Carlomagno , D. Gomez Dumm , N. N. Scoccola

A generalization to any dimension of the fermion field transformation which allows to derive the solution of the massless Schwinger model in the path integral framework is identified. New arguments based on this transformation for a…

High Energy Physics - Phenomenology · Physics 2009-10-30 José Luis Cortés , Jorge Gamboa , Luis Velázquez

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
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