Thermodynamical consistent CJT calculation in studying nuclear matter

We have attempted to apply the CJT formalism to study the nuclear matter. The thermodynamic potential is calculated in Hartree-Fock approximation in the CJT formalism. In the calculation, as the first step, we have neglected the medium effects to the mesons, the momentum dependence in the nucleon self-energy and the fluctuations of the vacuum. After these approximations, the numerical results are found very consistent with those obtained from the mean field calculation. In our calculation the thermodynamical consistency is also preserved.