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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

A short review of recent advances in understanding the dynamics of relativistic matter in a magnetic field is presented. The emphasis is on the dynamics related to the generation of the chiral shift parameter in the normal ground state. We…

High Energy Physics - Phenomenology · Physics 2012-08-21 E. V. Gorbar , V. A. Miransky , I. A. Shovkovy

The chiral phase transition is studied in an extended Nambu--Jona-Lasinio model with eight-quark interactions. Equations for scalar and vector quark densities, derived in the mean field approximation, are nonlinear and mutually coupled. The…

The influence of an external constant and homogeneous magnetic field H on the phase structure of the P-symmetric, chiral invariant 3-dimensional field theory model with two four-fermion interaction structures is considered. An arbitrary…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Ch. Zhukovsky , K. G. Klimenko , V. V. Khudyakov

We study the effect of an external magnetic field on the chiral phase transition in the theory of the strong interaction by means of a renormalization-group (RG) fixed-point analysis, relying on only one physical input parameter, the strong…

High Energy Physics - Phenomenology · Physics 2014-12-19 Jens Braun , Walid Ahmed Mian , Stefan Rechenberger

We study the phase diagram for strongly interacting matter using the 't Hooft determinant extended Nambu--Jona-Lasinio model with a Polyakov loop in the light and strange quark sectors (\emph{up}, \emph{down} and \emph{strange}) focusing on…

High Energy Physics - Phenomenology · Physics 2021-04-13 João Moreira , Pedro Costa , Tulio E. Restrepo

The magnetic catalysis of discrete chiral symmetry breaking in the 2+1 dimensional Nambu-Jona-Lasinio model is analyzed. A particular attention is paid to a possible application of the effect in solid state physics. The fermion contribution…

High Energy Physics - Phenomenology · Physics 2009-10-31 G. W. Semenoff , I. A. Shovkovy , L. C. R. Wijewardhana

We present the results obtained in the three-flavour ($N_f=3$) Nambu--Jona-Lasinio model which is extended by the $U(1)_A$ breaking six-quark 't Hooft interaction and eight-quark interactions. We address the problem of stability, and some…

High Energy Physics - Phenomenology · Physics 2009-10-05 A. A. Osipov , B. Hiller , A. H. Blin , J. Moreira

A NJL Lagrangian extended to six and eight quark interactions is applied to study temperature effects (SU(3) flavor limit, massless case), and (realistic massive case). The transition temperature can be considerably reduced as compared to…

High Energy Physics - Phenomenology · Physics 2011-07-26 J. Moreira , A. A. Osipov , B. Hiller , A. H. Blin , J. Providencia

We consider the simplest versions of the Nambu--Jona-Lasinio (NJL) model and the Linear Sigma Model (LSM), in the Mean Field Approximation (MFA), in order to analyze hot and dense two flavor quark matter subject to strong magnetic fields.…

High Energy Physics - Phenomenology · Physics 2015-06-05 Gabriel N. Ferrari , Andre F. Garcia , Marcus B. Pinto

The catalysis of chiral symmetry breaking by an applied constant magnetic field and in the presence of boundaries along third axis is investigated in the four-dimensional Nambu-Jona-Lasinio model. It is shown that in case of periodic…

High Energy Physics - Phenomenology · Physics 2009-10-31 E. J. Ferrer , V. P. Gusynin , V. de la Incera

The six-quark instanton induced 't Hooft interaction, which breaks the unwanted U_A (1) symmetry of QCD, is a source of perturbative corrections to the leading order result formed by the four-quark forces with the U_L(3)X U_R(3) chiral…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alexander A. Osipov , Brigitte Hiller , Veronique Bernard , Alex H. Blin

We investigate the chiral phase transition within a sphere under a uniform background magnetic field. The Nambu--Jona-Lasinio (NJL) model is employed and the MIT boundary condition is imposed for the spherical confinement. Using the wave…

Nuclear Theory · Physics 2024-01-29 Bing-Jun Zuo , Zheng Zhang , Chao Shi , Yong-Feng Huang

Phase structure of the four dimensional Nambu -- Jona-Lasinio model has been investigated in two cases: 1) in nonsimply connected space-time of the form $R^3\times S^1$ (space coordinate is compactified and the length of the circle $S^1$ is…

High Energy Physics - Phenomenology · Physics 2007-05-23 K. G. Klimenko

The phenomenon of inverse magnetic catalysis of chiral symmetry in QCD predicted by lattice simulations can be reproduced within the Nambu--Jona-Lasinio model if the coupling~$G$ of the model decreases with the strength $B$ of the magnetic…

High Energy Physics - Phenomenology · Physics 2017-08-23 R. L. S. Farias , V. S. Timoteo , S. S. Avancini , M. B. Pinto , G. Krein

The meson static properties are investigated in Pauli-Villars regularized Nambu--Jona-Lasinio model in strong magnetic field. The quark dimension reduction leads to not only the magnetic catalysis effect on chiral symmetry restoration but…

High Energy Physics - Phenomenology · Physics 2017-08-16 Shijun Mao , Yuxuan Wang

It is shown how the strong interaction dynamics of a multi-quark Lagrangian affects the catalysis of dynamical symmetry breaking by a constant magnetic field in (3+1) dimensions. Attention is drawn to the local minima structure of the…

High Energy Physics - Phenomenology · Physics 2008-12-19 Brigitte Hiller , Alexander A. Osipov , Alex H. Blin , Joao da Providencia

The presence of a strong magnetic background can modify the nature and the dynamics of the chiral phase transition at finite temperature: for high enough magnetic fields, comparable to the ones expected to be created in noncentral…

High Energy Physics - Phenomenology · Physics 2009-11-13 Eduardo S. Fraga , Ana Júlia Mizher

In this work, we consider the effect of a constant anomalous magnetic moment (AMM) of quarks in the SU(2) Nambu--Jona-Lasinio model in the mean field approximation. To this end, we use the Schwinger {\it ansatz}, which represents a linear…

High Energy Physics - Phenomenology · Physics 2022-08-24 Ricardo L. S. Farias , William R. Tavares , Rodrigo M. Nunes , Sidney S. Avancini

The magnetic properties of alkali-metal peroxychromate K$_2$NaCrO$_8$ are governed by the $S = 1/2$ pentavalent chromium cation, Cr$^{5+}$. Specific heat, magnetocalorimetry, ac magnetic susceptibility, torque magnetometry, and inelastic…