Recent progresses on QCD phases in a strong magnetic field -- views from Nambu--Jona-Lasinio model

Abstract

In this review, we summarize recent progress on the possible phases of quantum chromodynamics (QCD) in the presence of a strong magnetic field, mainly from the views of the chiral effective Nambu--Jona-Lasinio model. Four kinds of phase transitions are explored in detail: chiral symmetry breaking and restoration, neutral pseudoscalar superfluidity, charged pion superfluidity and charged rho superconductivity. In particular, we revisit the unsolved problems of inverse magnetic catalysis effect and competition between the chiral density wave and solitonic modulation phases. It is shown that useful results can be obtained by adopting self-consistent schemes.

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Cited by in corpus (21)

• Inverse magneto-rotational catalysis and the phase diagram of a rotating hot and magnetized quark matter
• QCD phase diagram in a magnetized medium from the chiral symmetry perspective: The linear sigma model with quarks and the Nambu--Jona-Lasinio model effective descriptions
• Fluctuations and correlations of net baryon number, electric charge and strangeness in a background magnetic field
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• Charged pseudoscalar and vector meson masses under strong magnetic fields in an extended NJL model
• Magnetic field induced corrections to the NJL model coupling constant from vacuum polarization
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• Masses of magnetized pseudoscalar and vector mesons in an extended NJL model: the role of axial vector mesons
• Charged meson masses under strong magnetic fields: gauge invariance and Schwinger phases
• Chiral condensates and screening masses of neutral pseudoscalar mesons from lattice QCD at physical quark masses
• Correlations and fluctuations in a magnetized PNJL model with and without inverse magnetic catalysis effect
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• Gauge independence of pion masses in a magnetic field within the Nambu--Jona-Lasinio model
• Stationary States for Fermions in an External Electric Field