scholarly journals Inhomogeneous charged pion condensation phenomenon in theNJL2model with quark number and isospin chemical potentials

2012 ◽  
Vol 86 (8) ◽  
Author(s):  
N. V. Gubina ◽  
K. G. Klimenko ◽  
S. G. Kurbanov ◽  
V. Ch. Zhukovsky
Keyword(s):  
Charged Pion ◽  
Pion Condensation ◽  
Quark Number ◽  
Chemical Potentials ◽  
Condensation Phenomenon

scholarly journals CHARGED PION CONDENSATION PHENOMENON OF DENSE BARYONIC MATTER INDUCED BY FINITE VOLUME: THE NJL2 MODEL CONSIDERATION

2012 ◽  
Vol 27 (27) ◽  
pp. 1250162 ◽  
Author(s):  
D. EBERT ◽  
T. G. KHUNJUA ◽  
K. G. KLIMENKO ◽  
V. CH. ZHUKOVSKY
Keyword(s):  
Charged Pion ◽  
Chiral Symmetry Breaking ◽  
Number Density ◽  
Pion Condensation ◽  
Quark Number ◽  
Chemical Potentials ◽  
Njl Model ◽  
Large N ◽  
Space Coordinate ◽  
Compactified Space

The properties of two-flavored massless Nambu–Jona-Lasinio (NJL) model in (1+1)-dimensional R1 × S1 space–time with compactified space coordinate are investigated in the presence of isospin and quark number chemical potentials μI, μ. The consideration is performed in the large Nc limit, where Nc is the number of colored quarks. It is shown that at L = ∞ (L is the length of the circumference S1) the charged pion condensation (PC) phase with zero quark number density is realized at arbitrary nonzero μI and for rather small values of μ. However, at arbitrary finite values of L the phase portrait of the model contains the charged PC phase with nonzero quark number density (in the case of periodic boundary conditions for quark fields). Hence, finite sizes of the system can serve as a factor promoting the appearance of the charged PC phase in quark matter with nonzero baryon densities. In contrast, the phase with chiral symmetry breaking may exist only at rather large values of L.

scholarly journals Affinity of NJL2 and NJL4 model results on duality and pion condensation in chiral asymmetric dense quark matter

2018 ◽  
Vol 191 ◽  
pp. 05016 ◽  
Author(s):  
T. G. Khunjua ◽  
K.G. Klimenko ◽  
R. N. Zhokhov–Larionov
Keyword(s):  
Quark Matter ◽  
Chemical Potential ◽  
Charged Pion ◽  
Chiral Symmetry Breaking ◽  
Baryon Density ◽  
Pion Condensation ◽  
Quark Interaction ◽  
Chemical Potentials ◽  
Dense Quark Matter ◽  
Density Results

In this paper we investigate the phase structure of a (1+1) and (3+1)-dimensional quark model with four-quark interaction and in the presence of baryon (μB), isospin (μI) and chiral isospin (μI5) chemical potentials. It is shown that the chemical potential μI5 promotes the appearance of the charged PC phase with nonzero baryon density. Results of both models are qualitatively the same, this fact enhances one's confidence in the obtained predictions. It is established that in the large-Nc limit (Nc is the number of colored quarks) there exists a duality correspondence between the chiral symmetry breaking phase and the charged pion condensation one.

scholarly journals Baryonic 3 P2 Superfluidity under Charged-Pion Condensation with   Isobar

1999 ◽  
Vol 101 (5) ◽  
pp. 1043-1081 ◽  
Author(s):  
T. Takatsuka ◽  
R. Tamagaki
Keyword(s):  
Charged Pion ◽  
Pion Condensation

scholarly journals Charged Pion Condensation in Dense Quark Matter: Nambu–Jona-Lasinio Model Study

Symmetry ◽  
2019 ◽  
Vol 11 (6) ◽  
pp. 778 ◽  
Author(s):  
Tamaz Khunjua ◽  
Konstantin Klimenko ◽  
Roman Zhokhov
Keyword(s):  
Quark Matter ◽  
Charged Pion ◽  
Finite Size ◽  
Short Review ◽  
Heavy Ion ◽  
Quark Masses ◽  
Pion Condensation ◽  
Dense Quark Matter ◽  
Njl Model ◽  
Current Quark

In this short review we tried to give an outline of investigations of charged pion condensation (PC) in dense baryonic (quark) matter in the framework of effective Nambu–Jona-Lasinio (NJL)-type models. The possibility of charged PC phase in dense quark matter with isospin asymmetry is investigated. First, it is demonstrated that this phase can be realized in the framework of massless NJL model. However, the existence of this phase is enormously fragile to the values of current quark mass and we show that charged PC phase is forbidden in electrically neutral dense quark matter with β -equilibrium when current quark masses are close to their physical value of 5.5 MeV. Nevertheless, then it is shown that in real physical systems there could be conditions promoting the appearance of charged PC phenomenon in dense quark matter; specifically, it was shown that if one takes into consideration the fact that system can have finite size, then a dense charged PC phase can be realized there. It was also demonstrated that the possibility of inhomogeneous pion condensate might allow this phase to appear. In addition, more recently it was revealed that there is another interesting factor that can induce a charged PC phase in dense quark matter even without isospin imbalance. It is a chiral imbalance of the system (non-zero difference between densities of left- and right-handed quarks). These results can be interesting in heavy ion collision experiments, where it is expected to get high baryon densities. It is of interest also in the context of neutron stars, where quark matter might be realized in the core and very high baryon and isospin densities are attained.

scholarly journals Charged pion condensation in anti-parallel electromagnetic fields and nonzero isospin density

2020 ◽  
Vol 44 (3) ◽  
pp. 034105 ◽  
Author(s):  
Jingyi Chao ◽  
Mei Huang ◽  
Andrey Radzhabov
Keyword(s):  
Electromagnetic Fields ◽  
Charged Pion ◽  
Pion Condensation

scholarly journals Effects of Charged-Pion Condensation on Neutron 3P2 Superfluidity

1998 ◽  
Vol 99 (1) ◽  
pp. 161-161
Author(s):  
T. Takatsuka ◽  
R. Tamagaki
Keyword(s):  
Charged Pion ◽  
Pion Condensation

scholarly journals Inhomogeneous charged pion condensation in chiral asymmetric dense quark matter in the framework of a NJL2 model

2017 ◽  
Vol 95 (10) ◽  
Author(s):  
T. G. Khunjua ◽  
K. G. Klimenko ◽  
R. N. Zhokhov ◽  
V. C. Zhukovsky
Keyword(s):  
Quark Matter ◽  
Charged Pion ◽  
Pion Condensation ◽  
Dense Quark Matter
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