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We study magnetic field effect on chiral phase transition in aNambu--Jona-Lasinio model. In comparison with mean field approximationcontaining quarks only, including mesons as quantum fluctuations in the modelleads to a transition from inverse to delayed magnetic catalysis at finitetemperature and delays the transition at finite baryon chemical potential. Thelocation of the critical end point depends on the the magnetic fieldnon-monotonously.

From Inverse to Delayed Magnetic Catalysis in Strong Magnetic Field