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

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arxiv 2103.00456 v3 pith:RWQZPMIS submitted 2021-02-28 hep-ph nucl-th

classification hep-phnucl-th
keywords chiralmagneticphaseschargedfieldmodelnambu--jona-lasiniorecent
verification ladder T0 review T1 audit T2 compute T3 formal
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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 1 Pith paper

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  1. Leading-Order QCD Equation of State in Strong Magnetic Fields at Nonzero Baryon Chemical Potential

    hep-lat 2025-08 conditional novelty 6.0 of 10

    Continuum-estimated leading-order EoS coefficients in magnetized strangeness-neutral QCD at nonzero baryon chemical potential show temperature-band crossings in q1 and P2 and a possible sign change of the trace anomal...

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