Inhomogeneous charged pion condensation in chiral asymmetric dense quark matter in the framework of NJL₂ model

2017/04/30 by T. G. Khunjua, K. G. Klimenko, R. N. Zhokhov +1 · 2 citations
Physics and Astronomy · #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.95.105010

published as Phys. Rev. D 95, 105010 (2017) · 16 pages, 7 figures; typos corrected, new figure, references added, discussions added, accepted for publication in PRD

arxiv created 2017/05/13 · arxiv updated 2017/06/07

Abstract

In this paper we investigate the phase structure of a (1+1)-dimensional quark model with four-quark interaction and in the presence of baryon (μ_B), isospin (μ_I) and chiral isospin (μ_I5) chemical potentials. Spatially inhomogeneous chiral density wave (for chiral condensate) and single wave (for charged pion condensate) approaches are used. It is established that in the large-N_c limit (N_c is the number of colored quarks) there exists a duality correspondence between the chiral symmetry breaking phase and the charged pion condensation (PC) one. Moreover, it is shown that inhomogeneous charged PC phase with nonzero baryon density is induced in the model by arbitrary small values of the chemical potential μ_I5 (for a rather large region of μ_B and μ_I).

Cited by

• 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
• Charged pion condensation and duality in dense and hot chirally and isospin asymmetric quark matter in the framework of NJL₂ model