Inhomogeneous chiral symmetry breaking phases in isospin-asymmetric matter

Abstract

We investigate the effects of isospin asymmetry on inhomogeneous chiral symmetry breaking phases within the two-flavor NJL model. After introducing a plane-wave ansatz for each quark-flavor condensate, we find that, as long as their periodicities are enforced to be equal, a non-zero isospin chemical potential shrinks the size of the inhomogeneous phase. The asymmetry reached in charge neutral matter is nevertheless not excessively large, so that an inhomogeneous window is still present in the phase diagram. Lifting the constraint of equal periodicities alters the picture significantly, as the inhomogeneous phase survives in a much larger region of the phase diagram.

arXiv comment9 pages, 5 figures, Contribution to the conference proceedings "Compact Stars in the QCD Phase Diagram IV" (CSQCD IV), September 26-30, 2014, Prerow, Germany

References in corpus (3)

• Inhomogeneous phases in the Nambu-Jona-Lasino and quark-meson model
• Crystalline chiral condensates as a component of compact stars
• Chiral waves in quark matter

Cited by in corpus (5)

• Scrutinizing the pion condensed phase
• Inhomogeneous chiral symmetry breaking in dense neutron-star matter
• Dualities and inhomogeneous phases in dense quark matter with chiral and isospin imbalances in framework of effective model
• Non-Abelian twisted kinks in chiral Gross-Neveu model with isospin
• Color-superconductivity and inhomogeneous chiral symmetry breaking in isospin-asymmetric quark matter