scholarly journals Dense baryon matter with isospin and chiral imbalance in the framework of a NJL4 model at large Nc : Duality between chiral symmetry breaking and charged pion condensation

2018 ◽  
Vol 97 (5) ◽  
Author(s):  
T. G. Khunjua ◽  
K. G. Klimenko ◽  
R. N. Zhokhov
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Charged Pion ◽  
Chiral Symmetry Breaking ◽  
Pion Condensation

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 A Possible Resolution to Troubles of SU(2) Center Vortex Detection in Smooth Lattice Configurations

Universe ◽  
2021 ◽  
Vol 7 (5) ◽  
pp. 122
Author(s):  
Rudolf Golubich ◽  
Manfried Faber
Keyword(s):  
Symmetry Breaking ◽  
Quantum Chromodynamics ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking ◽  
Vortex Model ◽  
Center Vortex ◽  
Vortex Detection

The center vortex model of quantum-chromodynamics can explain confinement and chiral symmetry breaking. We present a possible resolution for problems of the vortex detection in smooth configurations and discuss improvements for the detection of center vortices.

scholarly journals Spontaneous chiral symmetry breaking in the massive Landau gauge: Realistic running coupling

2021 ◽  
Vol 103 (9) ◽  
Author(s):  
Marcela Peláez ◽  
Urko Reinosa ◽  
Julien Serreau ◽  
Matthieu Tissier ◽  
Nicolás Wschebor
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking ◽  
Landau Gauge ◽  
Spontaneous Chiral Symmetry Breaking ◽  
Running Coupling

1D Mn(III) Coordination Polymers Exhibiting Chiral Symmetry Breaking and Weak Ferromagnetism

2021 ◽  
Author(s):  
Aoi Hara ◽  
Sotaro Kusumoto ◽  
Yoshihiro Sekine ◽  
Jack Harrowfield ◽  
Yang Kim ◽  
...  
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Coordination Polymers ◽  
Chiral Symmetry Breaking ◽  
Weak Ferromagnetism ◽  
Chiral Ligands ◽  
One Dimensional

Mn(III) complexes with the non-chiral ligands, (E)-N-(2-((2-aminobenzylidene)amino)-2-methylpropyl)-5-X-2-hydroxybenzamide (HLX, X = H, Cl, Br, and I), crystallise as chiral conglomerates containing amide oxygen-bridged one-dimensional coordination polymers that exhibit weak ferromagnetism. The...

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