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

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 Electrical neutrality and $$\beta $$-equilibrium conditions in dense quark matter: generation of charged pion condensation by chiral imbalance

2020 ◽  
Vol 80 (10) ◽  
Author(s):  
T. G. Khunjua ◽  
K. G. Klimenko ◽  
R. N. Zhokhov
Keyword(s):  
Phase Diagram ◽  
Neutron Star ◽  
Quark Matter ◽  
Quark Mass ◽  
Charged Pion ◽  
Heavy Ion ◽  
Pion Condensation ◽  
Dense Quark Matter ◽  
Current Quark Mass ◽  
Current Quark

AbstractThe phase diagram of dense quark matter with chiral imbalance is considered with the conditions of electric neutrality and $$\beta $$ β -equilibrium. It has been shown recently that chiral imbalance can generate charged pion condensation (PC) in dense quark matter. It was, therefore, interesting to verify that this phenomenon takes place in realistic physical scenarios such as electrically neutral quark matter in $$\beta $$ β -equilibrium, because a window of charged PC at dense quark matter phase diagram (without chiral imbalance) predicted earlier was closed by the consideration of these conditions at the physical current quark mass. In this paper it has been shown that the charged PC phenomenon is generated by chiral imbalance in the dense electric neutral quark/baryonic matter in $$\beta $$ β -equilibrium, i.e. matter in neutron stars. It has also been demonstrated that charged PC is an inevitable phenomenon in dense quark matter with chiral imbalance if there is nonzero chiral imbalance in two forms, chiral and chiral isospin one. It seems that in this case charged PC phase can be hardly avoided by any physical constraint on isospin imbalance and that this conclusion can be probably generalized from neutron star matter to the matter produced in heavy ion collisions or in neutron star mergers. The chiral limit and the physical point (physical pion mass) have both been considered and it was shown that the appearance of charged PC is not much affected by the consideration of nonzero current quark mass.

scholarly journals Duality and Charged Pion Condensation in Chirally Asymmetric Dense Quark Matter in the Framework of an NJL2 Model

2018 ◽  
Vol 47 ◽  
pp. 1860093 ◽  
Author(s):  
T. G. Khunjua ◽  
V. C. Zhukovsky ◽  
K. G. Klimenko ◽  
R. N. Zhokhov
Keyword(s):  
Quark Matter ◽  
Chemical Potential ◽  
Charged Pion ◽  
Chiral Symmetry Breaking ◽  
Density Wave ◽  
Baryon Density ◽  
Single Wave ◽  
Pion Condensation ◽  
Quark Interaction ◽  
Dense Quark Matter

In this talk we present investigation of the phase structure of a (1+1)-dimensional quark model with four-quark interaction and in the presence of baryon ([Formula: see text]), isospin ([Formula: see text]) and chiral isospin ([Formula: see text]) chemical potentials. Spatially homogeneous and inhomogeneous (chiral density wave (for chiral condensate) and single wave (for charged pion condensate)) condensates are considered. It is established that in the large-[Formula: see text] limit ([Formula: see text] is the number of colored quarks) there exists a duality correspondence between the chiral symmetry breaking phase and the charged pion condensation (PC) one. The primary conclusion of this investigation is the fact that chiral isospin chemical potential generates charged pion condensation with non-zero baryon density in dense quark matter. Moreover, it is shown that inhomogeneous charged PC phase with nonzero baryon density is induced in the model by arbitrary small values of the chemical potential [Formula: see text] (for a rather large region of [Formula: see text] and [Formula: see text]).

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 Dense quark matter with chiral and isospin imbalance: NJL-model consideration

2018 ◽  
Vol 191 ◽  
pp. 05015 ◽  
Author(s):  
Tamaz Khunjua ◽  
Konstantin Klimenko ◽  
Roman Zhokhov
Keyword(s):  
Quark Matter ◽  
Chemical Potential ◽  
Discrete Symmetry ◽  
Heavy Ion ◽  
Compact Stars ◽  
Pion Condensation ◽  
Ion Collisions ◽  
Chemical Potentials ◽  
Dense Quark Matter ◽  
Njl Model

Isospin asymmetry is the well-known property of dense quark matter, which exists in the compact stars and is produced in heavy ion collisions. On the other hand, the chiral imbalance between left- and right- handed quarks is another highly anticipated phenomenon that could occur in the dense quark matter. To investigate quark matter under these conditions, we take into account baryon – μB, isospin – μI and chiral isospin – μI5 chemical potentials and study QCD phase portrait using NJL4 model generalized to two massive quarks that could condense into the pion condensation. We have shown that the chiral isospin chemical potential μI5 generates pion condensation in isospin asymmetric quark matter. Also, we have investigated discrete symmetry (duality) between chiral and pion condensates in the case of massless quarks, which stay relatively instructive even if the quarks have bare mass. To describe hot dense quark matter, in addition to the above-mentioned chemical potentials, we introduce non-zero temperatures into consideration.

scholarly journals Vortons in dense quark matter

2011 ◽  
Vol 84 (2) ◽  
Author(s):  
Paulo F. Bedaque ◽  
Evan Berkowitz ◽  
Aleksey Cherman
Keyword(s):  
Quark Matter ◽  
Dense Quark Matter

Quark matter in the perturbation QCD model with a rapidly convergent matching-invariant running coupling

2017 ◽  
Vol 26 (06) ◽  
pp. 1750034 ◽  
Author(s):  
Jian-Feng Xu ◽  
Yan-An Luo ◽  
Lei Li ◽  
Guang-Xiong Peng
Keyword(s):  
Perturbation Theory ◽  
Infinite Number ◽  
Quark Matter ◽  
Chemical Potential ◽  
Maximum Mass ◽  
Solar Mass ◽  
Quark Stars ◽  
Dense Quark Matter ◽  
Subtraction Point ◽  
Running Coupling

The properties of dense quark matter are investigated in the perturbation theory with a rapidly convergent matching-invariant running coupling. The fast convergence is mainly due to the resummation of an infinite number of known logarithmic terms in a compact form. The only parameter in this model, the ratio of the renormalization subtraction point to the chemical potential, is restricted to be about 2.64 according to the Witten–Bodmer conjecture, which gives the maximum mass and the biggest radius of quark stars to be, respectively, two times the solar mass and 11.7[Formula: see text]km.

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