Spontaneous non-Hermiticity in the (
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)-dimensional Gross-Neveu model

Khunjua, T. G.; Klimenko, K. G.; Zhokhov, R. N.

doi:10.1103/physrevd.105.025014

Cited by 12 publications

(42 citation statements)

References 47 publications

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“…The phase diagram concerning chiral symmetry breaking and charged pion condensation phenomena has the same structure in two color and three color cases in framework of NJL models. These phenomena in the three color case has been investigated in [17,18,19] and it has been displayed that (I) chiral and charged pion condensates do not take non-zero values simultaneously (meaning no mixed phase). Hence, this holds also for two color NJL model.…”

Section: Phase Diagrammentioning

confidence: 99%

“…Let us first note that chiral symmetry breaking and pion condensation phenomena in the framework of NJL model are very similar in the cases of three and two colors, what is different is diquark condensation. The (ν, ν 5 ) phase diagram at different µ as well as (µ, ν) phase diagram at different ν 5 , where only chiral symmetry breaking and pion condensation phenomena were accounted for, have been investigated in the case of three colors in [18]. Therefore, one knows the behavior of PC and CSB phases in (ν, ν 5 ) and (µ, ν) phase diagrams in the case of two colors.…”

Section: 3mentioning

confidence: 99%

“…Also it was revealed in [25] that if one take into account the finite size of the system this phase can also be realized. Additionally, it was shown rather recently that chiral imbalance in the system can lead to the appearance of charged PC phase in dense quark (baryonic) matter as well [18,17].…”

Section: Charged Pion Condensation In Dense Quark Mattermentioning

confidence: 99%

See 2 more Smart Citations

The phase structure of two color QCD and charged pion condensation phenomenon

Khunjua,

Klimenko,

Zhokhov

2021

Preprint

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The phase structure of dense quark matter in the two color case has been investigated with nonzero baryon µ B , isospin µ I and chiral isospin µ I5 chemical potentials. It has been shown in the mean-field approximation that there exist three dualities, one of them between phases with spontaneous chiral symmetry breaking and condensation of charged pions, found in the three color case. The other two dual symmetries between the phase with condensation of charged pions and the phase with diquark condensation and between chiral symmetry breaking and diquark condensation phenomena. It has been demonstrated that due to the duality properties the phase diagram is extremely symmetric and the whole phase diagram in two color case can be obtained just by dualities from the phase structure of three color case. This shows that the dualities are rather usefull tool. It is shown that chiral imbalance generates charged pion condensation phenomenon in conditions of matter in neutron stars, i. e. electrically neutral and β-equilibrated dense quark matter. And that diquark condensation does not prohibit the generation of the charged PC phase by chiral imbalance at least in the two color case.

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Section: Phase Diagrammentioning

confidence: 99%

Section: 3mentioning

confidence: 99%

See 1 more Smart Citation

The phase structure of two color QCD and charged pion condensation phenomenon

Khunjua,

Klimenko,

Zhokhov

2021

Preprint

View full text Add to dashboard Cite

show abstract

“…Furthermore, if in addition the chiral asymmetry of quark matter is also taken into account, i.e. µ 5 = 0 or µ I5 = 0, then the possibility of appearance of the charged PC phenomenon in the system is predicted with even greater reliability [26][27][28][29]. Notice that in the last papers it was also shown that at µ I = 0 and µ I5 = 0, as well as at µ B = 0, there is a duality between the phenomena of spontaneous chiral symmetry breaking (CSB) and condensation of charged pions.…”

Section: Introductionmentioning

confidence: 99%

“…However, since only the simplest, quark-antiquark, of all possible quark interaction channels was taken into account in the structure of these N c = 3 NJL models, the results of Refs. [26][27][28][29] can be trusted in the region of rather low values of baryon densities, i.e. at µ B < 1 GeV, where other phenomena such as color superconductivity, etc are forbidden.…”

Section: Introductionmentioning

confidence: 99%