scholarly journals ON THE q-DEFORMATION OF THE NJL MODEL

2000 ◽  
Vol 15 (03) ◽  
pp. 219-227 ◽  
Author(s):  
V. S. TIMÓTEO ◽  
C. L. LIMA
Keyword(s):  
Total Energy ◽  
Chiral Symmetry ◽  
Gap Equation ◽  
Njl Model

Using a q-deformed fermionic algebra we perform explicitly a deformation of the Nambu–Jona-Lasinio (NJL) Hamiltonian. In the Bogoliubov–Valatin approach we obtain the deformed version of the functional for the total energy, which is minimized to obtain the corresponding gap equation. The breaking of chiral symmetry and its restoration in the limit q → 0 are then discussed.

MESONS AND DIQUARKS IN A NJL MODEL AT FINITE TEMPERATURE AND CHEMICAL POTENTIAL

1993 ◽  
Vol 08 (07) ◽  
pp. 1295-1312 ◽  
Author(s):  
D. EBERT ◽  
YU. L. KALINOVSKY ◽  
L. MÜNCHOW ◽  
M.K. VOLKOV
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Finite Temperature ◽  
Chemical Potential ◽  
Chiral Symmetry Breaking ◽  
Baryon Number ◽  
Coupling Constants ◽  
Number Density ◽  
Njl Model

An extended NJL model with [Formula: see text] and (qq)-interactions is studied at finite temperature and baryon number density. We investigate the chiral symmetry breaking, its restoration and the behavior of meson and diquark masses, decay and coupling constants as functions of T and µ.

scholarly journals Supersymmetric Nambu–Jona-Lasinio Model in an External Gravitational Field

1997 ◽  
Vol 12 (30) ◽  
pp. 2271-2277 ◽  
Author(s):  
I. L. Buchbinder ◽  
T. Inagaki ◽  
S. D. Odintsov
Keyword(s):  
Gravitational Field ◽  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Effective Potential ◽  
Chiral Symmetry Breaking ◽  
Leading Order ◽  
Gravitational Fields ◽  
External Gravitational Field ◽  
Njl Model ◽  
Curvature Approximation

We investigate the effect of an external gravitational fields to the chiral symmetry breaking in the supersymmetric (SUSY) Nambu–Jona-Lasinio (NJL) model coupled to gravity in a non-supersymmetric way. Evaluating the effective potential in the leading order of the 1/Nc-expansion and in the linear curvature approximation, it is possible to have the chiral symmetry breaking in the SUSY NJL model in an external gravitational fields. In the broken phase the dynamically generated mass is analytically and numerically calculated.

scholarly journals SYMMETRIES IN THE GROSS-NEVEU PHASE DIAGRAM

2010 ◽  
Vol 25 (02n03) ◽  
pp. 616-626 ◽  
Author(s):  
GERALD V. DUNNE
Keyword(s):  
Phase Diagram ◽  
Chiral Symmetry ◽  
Nonlinear Equations ◽  
Chemical Potential ◽  
Ginzburg Landau ◽  
Akns Hierarchy ◽  
Gap Equation ◽  
Gross Neveu Model

The existence of crystalline condensates in the temperature and chemical potential phase diagram of the Gross-Neveu models can be traced to intricate symmetries of the associated inhomogeneous gap equation. The gap equation based on the Ginzburg-Landau expansion is precisely the mKdV or AKNS hierarchy of integrable nonlinear equations for the Gross-Neveu model with discrete or continuous chiral symmetry, respectively. The former model also has a dense-dilute symmetry that is due to the energy-reflection duality of the underlying quasi-exactly soluble spectral operators.

scholarly journals NAMBU–JONA–LASINIO MODEL IN CURVED SPACETIME WITH MAGNETIC FIELD

1996 ◽  
Vol 11 (25) ◽  
pp. 2053-2063 ◽  
Author(s):  
B. GEYER ◽  
L.N. GRANDA ◽  
S.D. ODINTSOV
Keyword(s):  
Magnetic Field ◽  
Gravitational Field ◽  
Chiral Symmetry ◽  
Proper Time ◽  
Chiral Symmetry Breaking ◽  
Curved Spacetime ◽  
Njl Model ◽  
Nonzero Curvature ◽  
Curvature Approximation ◽  
The Magnetic Field

We discuss the phase structure of the NJL model in curved spacetime with magnetic field using 1/N-expansion and linear curvature approximation. The effective potential for composite fields [Formula: see text] is calculated using the proper-time cutoff in the following cases: (a) at nonzero curvature, (b) at nonzero curvature and nonzero magnetic field, and (c) at nonzero curvature and nonzero covariantly constant gauge field. Chiral symmetry breaking is studied numerically. We show that the gravitational field may compensate the effect of the magnetic field what leads to restoration of chiral symmetry.

Chiral Symmetry Breaking as a Phase Transition in QED Plus NJL Model

1994 ◽  
Vol 21 (1) ◽  
pp. 73-84 ◽  
Author(s):  
Guang-Jiong Ni ◽  
Ji-Fang Yang ◽  
Dao-Hia Xu ◽  
Su-Qing Chen
Keyword(s):  
Phase Transition ◽  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking ◽  
Njl Model
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