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

In this paper we investigate the phase structure of a (1+1)-dimensional schematic quark model with four-quark interaction and in the presence of baryon (μB), isospin (μI) and chiral isospin (μI5) chemical potentials. It is established that in the large-Nc limit (Nc is the number of colored quarks) t...

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Bibliographic Details
Published in:Physical review. D 2016-12, Vol.94 (11)
Main Authors: Ebert, D, Khunjua, T G, Klimenko, K G
Format: Article
Language:English
Subjects:
Baryons
Broken symmetry
Chemical potential
Condensation
Organic chemistry
Quark models
Quarks
Solid phases
Online Access:Get full text
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Summary:In this paper we investigate the phase structure of a (1+1)-dimensional schematic quark model with four-quark interaction and in the presence of baryon (μB), isospin (μI) and chiral isospin (μI5) chemical potentials. 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 (PC) one. The role and influence of this property on the phase structure of the model are studied. Moreover, it is shown that the chemical potential μI5 promotes the appearance of the charged PC phase with nonzero baryon density.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.94.116016