Inverse Magnetic Catalysis (IMC) in Vacuum to Nuclear Matter Phase Transition

We have studied the vacuum to nuclear matter phase transition in the presence of constant external background magnetic field with the mean field approximation in the Walecka model. The anomalous nucleon magnetic moment has been taken into account using the modified ‘weak’ field expansion of the fermion propagator. The critical temperature corresponding to the vacuum to nuclear medium phase transition is observed to decrease with the external magnetic field which can be identified as the inverse magnetic catalysis in the Walecka model whereas the opposite behaviour is obtained in case of the vanishing magnetic moment indicating magnetic catalysis.