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 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 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 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 NJL-model analysis of dense quark matter

2005 ◽  
Vol 407 (4-6) ◽  
pp. 205-376 ◽  
Author(s):  
M BUBALLA
Keyword(s):  
Quark Matter ◽  
Model Analysis ◽  
Dense Quark Matter ◽  
Njl Model

QUARK MATTER IN NEUTRON STARS: AN APERÇU

2006 ◽  
Vol 21 (26) ◽  
pp. 1965-1979 ◽  
Author(s):  
PRASHANTH JAIKUMAR ◽  
SANJAY REDDY ◽  
ANDREW W. STEINER
Keyword(s):  
Neutron Star ◽  
Equation Of State ◽  
Neutron Stars ◽  
Quark Matter ◽  
Finite Size ◽  
Coulomb Energy ◽  
Quark Stars ◽  
Dense Quark Matter ◽  
Intermediate Fraction ◽  
State Of Matter

The existence of deconfined quark matter in the superdense interior of neutron stars is a key question that has drawn considerable attention over the past few decades. Quark matter can comprise an arbitrary fraction of the star, from 0 for a pure neutron star to 1 for a pure quark star, depending on the equation of state of matter at high density. From an astrophysical viewpoint, these two extreme cases are generally expected to manifest different observational signatures. An intermediate fraction implies a hybrid star, where the interior consists of mixed or homogeneous phases of quark and nuclear matter, depending on surface and Coulomb energy costs, as well as other finite size and screening effects. In this review, we discuss what we can deduce about quark matter in neutron stars in light of recent exciting developments in neutron star observations. We state the theoretical ideas underlying the equation of state of dense quark matter, including color superconducting quark matter. We also highlight recent advances stemming from re-examination of an old paradigm for the surface structure of quark stars and discuss possible evolutionary scenarios from neutron stars to quark stars, with emphasis on astrophysical observations.

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.

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