Effects of the quark anomalous magnetic moment in the chiral symmetry restoration: magnetic catalysis and inverse magnetic catalysis

Abstract In this work, we consider the effect of a constant anomalous magnetic moment (AMM) quarks in SU(2) Nambu–Jona-Lasinio model mean field approximation. To end, use Schwinger ansatz , which represents linear term Lagrangian. A regularization method inspired vacuum (VMR) is adopted to avoid ultraviolet divergences. Our results indicate smooth decrease pseudocritical temperature and quark condensates for fields $$B \le 0.1$$ B ≤ 0.1 GeV $$^2$$ 2 when sizable AMM considered. We found only small window Inverse Magnetic Catalysis (IMC), contradiction with NJL predictions made literature. For low value AMM, observe all ranges considered that increases field, indicating (MC). our approach, nonvanishing chiral symmetry restoration happens always as crossover never turns into first order phase transition.