Correction to the Chiral Magnetic Effect from axial-vector interaction

Abstract

The recent lattice calculation at finite axial chemical potential suggests that the induced current density of the chiral magnetic effect (CME) is somehow suppressed comparing with the standard analytical formula. We show in a NJL-type model of QCD that such a suppression is a natural result when considering the influence of the attractive axial-vector interaction. We point out that the lattice result doesn't need to be quantitatively consistent with the analytical formula due to the chirality density-density correlation. We also investigate the nonperturbative effect of instanton molecules on the CME. Since an unconventional repulsive axial-vector interaction is induced, the CME will be enhanced significantly by the instanton-anti-instanton pairings. Such a prediction needs to be tested by more improved lattice simulations. We further demonstrate that the axial-vector interaction plays an important role on the $T-{\mu }_A$ phase diagram.

9 pages,5 figures, references added, some comments modified. Final version for PRD

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• The Chiral Magnetic Effect
• New Critical Point Induced by the Axial Anomaly in Dense QCD
• Chiral magnetic effect in lattice QCD with a chiral chemical potential
• Phase diagram of chirally imbalanced QCD matter
• Coupling of pion condensate, chiral condensate and Polyakov loop in an extended NJL model
• Lattice study of the chiral magnetic effect in a chirally imbalanced matter
• Chiral asymmetry of the Fermi surface in dense relativistic matter in a magnetic field
• Magnetic-field Induced Screening Effect and Collective Excitations
• Vector interaction, charge neutrality and multiple chiral critical point structures
• Number of the QCD critical points with neutral color superconductivity
• Roles of axial anomaly on neutral quark matter with color superconducting phase
• Two-flavor QCD phases and condensates at finite isospin chemical potential
• QCD Critical Points and Their Associated Soft Modes
• Landau gauge condensates from global color model

Cited by in corpus (5)

• Spontaneous generation of local CP violation and inverse magnetic catalysis
• Inverse Magnetic Catalysis in the three-flavor NJL model with axial-vector interaction
• Gravitational waves and primordial black holes from chirality imbalanced QCD first-order phase transition with $\mathcal{P}$ and $\mathcal{C}\mathcal{P}$ violation
• Fate of separate chiral transitions at finite ${\mu }_I$ under the influence of mismatched vector interactions
• Explicit calculation on two-loop correction to the chiral magnetic effect with NJL model