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

2016/08/31 by D. Ebert, T. G. Khunjua, K. G. Klimenko · 2 citations
Physics and Astronomy · #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.94.116016

published as Phys. Rev. D 94, 116016 (2016) · 16 pages, 11 figures; minor changes of the text; figure and references added; version accepted for publication in PRD

arxiv created 2016/12/08 · arxiv updated 2017/01/04

Abstract

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 (μ_B), isospin (μ_I) and chiral isospin (μ_I5) chemical potentials. 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. The role and influence of this property on the phase structure of the model are studied. Moreover, it is shown that the chemical potential μ_I5 promotes the appearance of the charged PC phase with nonzero baryon density.

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

Related

• Dual properties of dense quark matter with color superconductivity phenomenon
• Charged pion condensation and color superconductivity phenomena in chirally asymmetric dense quark matter
• Phases of QCD at nonzero isospin and strangeness chemical potentials with application to pion stars
• QCD phase structure at finite isospin chemical potential and smaller-than-physical quark mass
• Detailed study of the dual symmetry of dense quark matter within the effective action formalism