Inhomogeneous Chiral Phase in Quark Matter

Abstract

Recent development of inhomogeneous chiral phase in Kyoto group is briefly reviewed. First, the nesting effect of the Fermi surface is emphasized as a key mechanism leading to inhomogeneous chiral phase. After introduction of inhomogeneous chiral phase, some topological aspect is discussed in 1+1 dimensions and in the presence of the magnetic field in 1+3 dimensions. Spectral asymmetry gives rise to anomalous quark number and is closely related to chiral anomaly. It may induce spontaneous magnetization and a novel Lifshitz point may appear on the line $\mu =0$. Some astronomical implications are briefly discussed. Finally, the effects of the fluctuations around the order parameter are discussed; the propagator of the fluctuations exhibits a singularity at finite momentum and changes the properties of the phase transition through loop diagrams.

8 pages,3 figures, Proc. of QCS2017 (Kyoto, Japan)

References in corpus (6)

• Inhomogeneous chiral condensates
• Inhomogeneous phases in the Nambu-Jona-Lasino and quark-meson model
• A Twisted Kink Crystal in the Chiral Gross-Neveu model
• Novel Lifshitz point for chiral transition in the magnetic field
• Quark beta decay in the inhomogeneous chiral phase and cooling of compact stars
• Chiral pair fluctuations for the inhomogeneous chiral transition