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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 study inverse magnetic catalysis in the Nambu--Jona-Lasinio model beyond mean field approximation. The feed-down from mesons to quarks is embedded in an effective coupling constant at finite temperature and magnetic field. While the…

High Energy Physics - Phenomenology · Physics 2016-06-22 Shijun Mao

We present results from numerical simulations of the Nambu-Jona-Lasinio model with an SU(2)xSU(2) chiral symmetry and N_c=4,8, and 16 quark colors at nonzero temperature. We performed the simulations by utilizing the hybrid Monte Carlo and…

High Energy Physics - Lattice · Physics 2009-11-11 Costas Strouthos , Stavros Christofi

The effect that the current quark mass $M_0$ may result in nonzero-ness of chiral condensates is systematically reexamined and analyzed in a two-flavor Nambu-Jona-Lasinio model simulating Quantum Chromodynamics (QCD) at temperature $T$ and…

High Energy Physics - Phenomenology · Physics 2015-07-21 Bang-Rong Zhou

In this study, we investigate the phase structure of magnetized QCD matter by determining the field-dependent parameters of the Nambu-Jona-Lasinio (NJL) model through a physics-informed machine learning framework. Specifically, we focus on…

High Energy Physics - Phenomenology · Physics 2026-04-01 Zigeng Ding , Fan Lin , Xinyang Wang

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

In the paper we consider non-relativistic analog of the Nambu-Jona-Lasinio model and demonstrate, by this most simplified example, the method of dynamical mappings of Heisenberg fields on "physical" fields. We obtain the expressions for one…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. N. Vall , V. M. Leviant , A. V. Sinitskaya

The mass formulas and decay constants of electrically charged and strange pseudoscalar mesons are analyzed within the combined framework of Nambu -- Jona-Lasinio model and the $1/N_c$ expansion up to $\mathcal O(1/N_c^2)$. The light quark…

High Energy Physics - Phenomenology · Physics 2023-07-28 A. A. Osipov

We present our full analysis of the two flavor Nambu--Jona-Lasinio model with $SU(2) \times SU(2)$ chiral symmetry on the four--dimensional hypercubic lattice with naive and Wilson fermions. We find that this model is an excellent toy field…

High Energy Physics - Lattice · Physics 2009-10-22 K. M. Bitar , P. M. Vranas

Nambu-Goldstone (NG) modes for 0-form and higher-form symmetries can become unstable in the presence of background fields. Examples include the instability of a photon with a time-dependent axion background or with a chirality imbalance,…

High Energy Physics - Theory · Physics 2022-11-08 Naoki Yamamoto , Ryo Yokokura

We consider $CP^{N-1}$ models in $d+1$ dimensions around Lifshitz fixed points with dynamical critical exponent $z$, in the large-N expansion. It is shown that these models are asymptotically free and dynamically generate a mass for the…

High Energy Physics - Theory · Physics 2009-09-24 Sumit R. Das , Ganpathy Murthy

We study the dynamical chiral symmetry breaking/restoration for the various numbers of light quarks flavors $N_f$ and colors $N_c$, using the Nambu-Jona-Lasinio (NJL) model of quarks, dressed with a color-flavor dependence of effective…

High Energy Physics - Phenomenology · Physics 2022-08-03 Aftab Ahmad , Ali Murad

The combined effect of the repulsive vector interaction and the positive electric chemical potential on the chiral phase transition is investigated by considering neutral color superconductivity. Under the charge-neutrality constraint, the…

High Energy Physics - Phenomenology · Physics 2011-01-20 Zhao Zhang , Teiji Kunihiro

We review the main features of the QCD phase diagram description, at finite temperature, baryon density and in the presence of a magnetic field, from the point of view of effective models, whose main ingredient is chiral symmetry. We…

High Energy Physics - Phenomenology · Physics 2021-07-28 Alejandro Ayala , Luis A. Hernández , Marcelo Loewe , Cristian Villavicencio

The renormalisation group flow of the chiral Nambu--Jona-Lasinio (NJL) model with one fermion flavor is mapped out in the symmetric phase with the help of the Functional Renormalisation Group (FRG) method using a physically motivated…

High Energy Physics - Theory · Physics 2020-06-24 A. Jakovac , A. Patkos

We study the influence of vacancy concentration on the behaviour of the three dimensional Random Field Ising model with metastable dynamics. We focus our analysis on the number of spanning avalanches which allows for a clean determination…

Disordered Systems and Neural Networks · Physics 2009-11-11 Xavier Illa , Eduard Vives

We study the magnetic Rayleigh-Taylor instability in three dimensions, with focus on the nonlinear structure and evolution that results from different initial field configurations. We study strong fields in the sense that the critical…

Astrophysics · Physics 2009-11-13 James M. Stone , Thomas Gardiner

We consider the Euclidean large-$N$ Ginzburg--Landau model in $D$ dimensions, $d$ ($d\leq D$) of them being compactified. For D=3, the system can be supposed to describe, in the cases of d=1, d=2, and d=3, respectively, a superconducting…

High Energy Physics - Theory · Physics 2011-10-21 C. A. Linhares , A. P. C. Malbouisson , M. L. Souza

Various aspects of the Generalised Nambu-Jona-Lasinio model for QCD in four dimensions are reviewed. The properties of mesonic excitations are discussed in detail, with special attention paid to the chiral pion. The spontaneous chiral…

High Energy Physics - Phenomenology · Physics 2017-09-05 Yu. S. Kalashnikova , A. V. Nefediev , J. E. F. T. Ribeiro

We argue that the extended Nambu-Jona-Lasinio model which introduces four-quark interactions to describe hadron physics at low energies can be confronted with fundamental quantum chromodynamics by means of spectral sum rules. While there…

High Energy Physics - Phenomenology · Physics 2007-05-23 Koichi Yamawaki , V. I. Zakharov