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In this paper, we aim to study the complete self-energy in the fermionpropagator within two-flavor NJL model in the case of finite temperature,chemical potential and external magnetic field. Through Fierz transformation weprove that the self-energy is not simply proportional to dynamical mass in thepresence of chemical potential, moreover, it contains four kinds of condensatesafter introducing external magnetic field. We find out the appropriate andcomplete form of self-energy and establish new gap equations. We take two ofthe four condensates (scalar and pseudovector condensates) to make anapproximation and simplify the gap equations. The numerical results show thatnot only the dynamical mass get quantitative modification, but also theproperties of Nambu phase and Wigner phase are significantly different withclassic results. Instead of classic Wigner phase with zero dynamic mass in themassless NJL model, we propose a new phase - quasi-Wigner phase in thisarticle, it has small but nonzero dynamic mass, with increasing chemicalpotential, eventually Nambu phase will turn into quasi-Wigner phase withfirst-order phase transition, therefore the chiral symmetry can never be fullyrestored but be partially restored. Furthermore, we prove that pseudovectorcondensate in self-energy can generate energy splitting in dispersion relation,it will cause minor differences of particle numbers with the split energylevels.

Fermion Self-energy and Pseudovector Condensate in NJL Model with External Magnetic Field