scholarly journals Duality between chiral symmetry breaking and charged pion condensation at large Nc : Consideration of an NJL2 model with baryon, isospin, and chiral isospin chemical potentials

2016 ◽  
Vol 94 (11) ◽  
Author(s):  
D. Ebert ◽  
T. G. Khunjua ◽  
K. G. Klimenko
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Charged Pion ◽  
Chiral Symmetry Breaking ◽  
Pion Condensation ◽  
Chemical Potentials

RELATIVISTIC HYDRODYNAMICS WITH SPONTANEOUS CHIRAL SYMMETRY BREAKING

2003 ◽  
Vol 12 (05) ◽  
pp. 675-681
Author(s):  
SUN ZHANG ◽  
FAN WANG
Keyword(s):  
Phase Transition ◽  
Dispersion Relation ◽  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Hydrodynamic Equation ◽  
Chiral Symmetry Breaking ◽  
Relativistic Hydrodynamics ◽  
Pion Condensation ◽  
Spontaneous Chiral Symmetry Breaking ◽  
Background State

We study the hydrodynamics of the nuclear matter of two flavors of light quarks with spontaneous chiral symmetry breaking based on the Poisson bracket method. The effects of mass are included and the full hydrodynamic equation for pions is given. The in-medium dispersion relation of pions in the neutron rich background state and the possibility of the phase transition to pion condensation are also discussed.

scholarly journals Dense Baryonic Matter and Applications of QCD Phase Diagram Dualities

Particles ◽  
2020 ◽  
Vol 3 (1) ◽  
pp. 62-79 ◽  
Author(s):  
Tamaz G. Khunjua ◽  
Konstantin G. Klimenko ◽  
Roman N. Zhokhov
Keyword(s):  
Phase Diagram ◽  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Phase Structure ◽  
Chiral Symmetry Breaking ◽  
Pion Mass ◽  
Baryon Density ◽  
Persistent Problem ◽  
Pion Condensation ◽  
Qcd Phase Diagram

Recently it has been found that quantum chromodynamics (QCD) phase diagram possesses a duality between chiral symmetry breaking and pion condensation. For the first time this was revealed in the QCD motivated toy model. Then it was demonstrated in effective models as well and new additional dualities being found. We briefly recap the main features of this story and then discuss its applications as a tool to explore the QCD phase structure. The most appealing application is the possibility of getting the results on the QCD phase diagram at large baryon density. Taking the idea from large 1 / N c universalities it was argued that the scenario of circumventing the sign problem with the help of dualities seems plausible. It is also discussed that there is a persistent problem about whether there should be catalysis or anti-catalysis of chiral symmetry breaking by chiral imbalance. One can probably say that the issue is settled after lattice results (first principle approach), where the catalysis was observed. But they used an unphysically large pion mass so it is still interesting to get additional indications that this is the case. It is shown just by the duality property that there exists catalysis of chiral symmetry breaking. So, having in mind our results and the earlier lattice simulations, one can probably claim that this issue is settled. It is demonstrated that the duality can be used to obtain new results. As an example, it is showcased how the phase structure of dense quark matter with chiral imbalance (with possibility of inhomogeneous phases) can be obtained from the knowledge of a QCD phase diagram with isopin asymmetry.

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.

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