scholarly journals New algorithm to study the pseudo-Wigner solution of the quark gap equation in the framework of the ( 2+1 )-flavor NJL model

2019 ◽  
Vol 99 (7) ◽  
Author(s):  
Cheng-Ming Li ◽  
Pei-Lin Yin ◽  
Hong-Shi Zong
Keyword(s):  
Gap Equation ◽  
Njl Model

scholarly journals Supersymmetric NJL-Type Model for a Real Superfield Composite

Symmetry ◽  
2019 ◽  
Vol 11 (12) ◽  
pp. 1507 ◽  
Author(s):  
Yifan Cheng ◽  
Yan-Min Dai ◽  
Gaber Faisel ◽  
Otto C. W. Kong
Keyword(s):  
Supersymmetry Breaking ◽  
Type Model ◽  
Prototype Model ◽  
Gap Equation ◽  
Composite Higgs ◽  
Njl Model ◽  
Classic Theory ◽  
Equation Analysis ◽  
Chiral Superfield ◽  
Chiral Superfields

The Nambu–Jona-Lasinio (NJL) model is a classic theory for the strong dynamics of composite fields and symmetry breaking. Supersymmetric versions of the NJL-type models are certainly of interest too. Particularly, the case with a composite (Higgs) chiral superfield formed by two (quark) chiral superfields has received much attention. Here, we propose a prototype model with a four-chiral-superfield interaction, giving a real superfield composite. It has a spin-one composite vector field with properties being somewhat similar to a massive gauge boson of spontaneously broken gauge symmetry. As such, it is like the first supersymmetric analog to non-supersymmetric models with spin-one composites. The key formulation developed here is the picture of quantum effective action as a superfield functional with parameters like constant superfields, having explicit supersymmetric and Grassmann number dependent supersymmetry breaking parts. Following the standard non-perturbative analysis for NJL-type models, the gap equation analysis shows plausible signature of dynamical supersymmetry breaking which is worth more serious analysis. With an extra superfield model Lagrangian included, comparison between the models and their non-supersymmetric counterparts is discussed, illustrating the notion of supersymmetrization is nontrivial in the setting.

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.

scholarly journals Solving the Gap Equation of the NJL Model through Iterations: Unexpected Chaos

Symmetry ◽  
2019 ◽  
Vol 11 (4) ◽  
pp. 492
Author(s):  
Angelo Martínez ◽  
Alfredo Raya
Keyword(s):  
Magnetic Field ◽  
Iterative Procedure ◽  
Proper Time ◽  
Thermal Bath ◽  
Coupling Constant ◽  
Regularization Scheme ◽  
Gap Equation ◽  
A Value ◽  
Njl Model

We explore the behavior of the iterative procedure to obtain the solution to the gap equation of the Nambu-Jona-Lasinio (NLJ) model for arbitrarily large values of the coupling constant and in the presence of a magnetic field and a thermal bath. We find that the iterative procedure shows a different behavior depending on the regularization scheme used. It is stable and very accurate when a hard cut-off is employed. Nevertheless, for the Paul-Villars and proper time regularization schemes, there exists a value of the coupling constant (different in each case) from where the procedure becomes chaotic and does not converge any longer.

scholarly journals Competition of inhomogeneous chiral phases and two-flavor color superconductivity in the NJL model

2021 ◽  
Vol 103 (3) ◽  
Author(s):  
Phillip Lakaschus ◽  
Michael Buballa ◽  
Dirk H. Rischke
Keyword(s):  
Color Superconductivity ◽  
Chiral Phases ◽  
Njl Model

scholarly journals Processes e+e− → π0(π0′) γ in extended NJL model

2011 ◽  
Vol 47 (9) ◽  
Author(s):  
A. B. Arbuzov ◽  
E. A. Kuraev ◽  
M. K. Volkov
Keyword(s):  
Njl Model

scholarly journals Critical behaviors near the (tri-)critical end point of QCD within the NJL model

2015 ◽  
Vol 75 (10) ◽  
Author(s):  
Ya Lu ◽  
Yi-Lun Du ◽  
Zhu-Fang Cui ◽  
Hong-Shi Zong
Keyword(s):  
End Point ◽  
Njl Model

scholarly journals ε-EXPANSION IN QUANTUM FIELD THEORY IN CURVED SPACE–TIME

1998 ◽  
Vol 13 (16) ◽  
pp. 2857-2874
Author(s):  
IVER H. BREVIK ◽  
HERNÁN OCAMPO ◽  
SERGEI ODINTSOV
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Space Time ◽  
Quantum Field ◽  
Curved Space ◽  
Njl Model ◽  
Effective Lagrangian ◽  
Special Solutions ◽  
Curvature Approximation ◽  
Symmetric Phase

We discuss ε-expansion in curved space–time for asymptotically free and asymptotically nonfree theories. The existence of stable and unstable fixed points is investigated for fϕ4 theory and SU(2) gauge theory. It is shown that ε-expansion maybe compatible with aysmptotic freedom on special solutions of the RG equations in a special ase (supersymmetric theory). Using ε-expansion RG technique, the effective Lagrangian for covariantly constant gauge SU(2) field and effective potential for gauged NJL model are found in (4-ε)-dimensional curved space (in linear curvature approximation). The curvature-induced phase transitions from symmetric phase to asymmetric phase (chromomagnetic vacuum and chiral symmetry broken phase, respectively) are discussed for the above two models.

scholarly journals Thermal conductivity in 3D NJL model under external magnetic field

2003 ◽  
Vol 33 (4) ◽  
pp. 397-411 ◽  
Author(s):  
E. J. Ferrer ◽  
V. P. Gusynin ◽  
V. de la Incera
Keyword(s):  
Magnetic Field ◽  
Thermal Conductivity ◽  
External Magnetic Field ◽  
Njl Model

Thermodynamics of open and hidden charmed mesons within the NJL model

1992 ◽  
Vol 286 (3-4) ◽  
pp. 221-224 ◽  
Author(s):  
F.O. Gottfried ◽  
S.P. Klevansky
Keyword(s):  
Charmed Mesons ◽  
Njl Model
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