Hybrid chiral condensate in the external magnetic field

Abstract

We study the phase diagram of the Nambu-Jona-Lasinio model in the external magnetic field within the mean-field approximation, taking into account the inhomogeneous chiral condensate. It is shown that there appears a new type of the chiral condensate, endowed with two features of real kink crystal and dual chiral density wave, in the magnetic field. We also show that there are first order phase transitions between different inhomogeneous phases in the presence of magnetic field.

14 pages, 24 figures

References in corpus (11)

• The Chiral Magnetic Effect
• Inhomogeneous chiral condensates
• Inhomogeneous phases in the Nambu-Jona-Lasino and quark-meson model
• Axial anomaly and magnetism of nuclear and quark matter
• Evidence of Andreev bound states as a hallmark of the FFLO phase in $\kappa$-(BEDT-TTF)${}_2$Cu(NCS)${}_2$
• A Twisted Kink Crystal in the Chiral Gross-Neveu model
• Inverse magnetic catalysis in holographic models of QCD
• Inhomogeneous phases in the quark-meson model with vacuum fluctuations
• Novel Lifshitz point for chiral transition in the magnetic field
• Chiral density waves in the NJL${}_2$ model with quark number and isospin chemical potentials
• Competition and duality correspondence between inhomogeneous fermion-antifermion and fermion-fermion condensations in the NJL${}_2$ model

Cited by in corpus (23)

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• Inhomogeneous charged pion condensation in chiral asymmetric dense quark matter in the framework of NJL${}_2$ model
• Fluctuations in cool quark matter and the phase diagram of Quantum Chromodynamics
• Dualities and inhomogeneous phases in dense quark matter with chiral and isospin imbalances in framework of effective model
• Spontaneous magnetization of quark matter in the inhomogeneous chiral phase
• Chiral soliton lattice at next-to-leading order
• A novel Dual Chiral Density Wave in nuclear matter based on a parity doublet structure
• Symmetry breaking effect on the inhomogeneous chiral transition in the magnetic field
• Chiral crystallization in an external magnetic background - Chiral spiral versus Real kink crystal -
• Dual chiral density waves in nuclear matter
• Magnetic-Field Induced Critical Endpoint
• Chiral spiral induced by a strong magnetic field
• Non-Abelian twisted kinks in chiral Gross-Neveu model with isospin
• Quark matter with strong magnetic field and possibility of the third family of compact stars
• Spin polarization in high density quark matter under a strong external magnetic field
• Dual chiral density wave induced oscillating Casimir effect
• Anatomy of the dense QCD matter from canonical sectors
• Magnetic field effect on nuclear matter from skyrmion crystal model
• Gradient expansion technique for inhomogeneous, magnetized quark matter
• Inhomogeneous Chiral Phase in Quark Matter
• Casimir effect in magnetic dual chiral density waves
• Spontaneous Magnetization of Quark Matter in Inhomogeneous Chiral Phase
• Chiral-Imbalance Density Wave in Baryonic Matters