Dense baryon matter with isospin and chiral imbalance in the framework of NJL₄ model at large N_c: duality between chiral symmetry breaking and charged pion condensation

2017/10/31 by T. G. Khunjua, K. G. Klimenko, R. N. Zhokhov · 2 citations
Physics and Astronomy · #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.97.054036

published as Phys. Rev. D 97, 054036 (2018) · 16 pages, 12 figures. Typos corrected, new Sec. IV B and new references added. Accepted for publication in Phys. Rev. D. arXiv admin note: text overlap with arXiv:1704.01477, arXiv:1608.07688; text overlap with arXiv:1103.5480 by other authors

arxiv created 2018/03/14 · arxiv updated 2018/04/04

Abstract

In this paper the phase structure of dense quark matter has been investigated in the presence of baryon, isospin and chiral isospin chemical potentials in the framework of (3+1)-dimensional Nambu--Jona-Lasinio model with two quark flavors. It has been shown that in the large-N_c limit (N_c is the number of colors of quarks) there exists a duality correspondence between the chiral symmetry breaking phase and the charged pion condensation one. The key conclusion of our studies is the fact that chiral isospin chemical potential generates charged pion condensation in dense quark matter with isotopic asymmetry.

Citations

• Inhomogeneous charged pion condensation in chiral asymmetric dense quark matter in the framework of NJL₂ model
• Duality between chiral symmetry breaking and charged pion condensation at large N_c: Consideration of an NJL₂ model with baryon-, isospin- and chiral isospin chemical potentials
• Universality of Phases in QCD and QCD-like Theories

Cited by

• Dualities in dense quark matter with isospin, chiral and chiral isospin imbalance in the framework of the large-N_c limit of the NJL₄ model
• Charged pion condensation and duality in dense and hot chirally and isospin asymmetric quark matter in the framework of NJL₂ model