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We discuss the QCD phase diagram in the strong coupling limit of lattice QCDby using a new type of mean field coming from the next-to-leading order of thelarge dimensional expansion. The QCD phase diagram in the strong coupling limitrecently obtained by using the monomer-dimer-polymer (MDP) algorithm has somedifferences in the phase boundary shape from that in the mean field results. Asone of the origin to explain the difference, we consider another type ofauxiliary field, which corresponds to the point-splitting mesonic composite.Fermion determinant with this mean field under the anti-periodic boundarycondition gives rise to a term which interpolates the effective potentials inthe previously proposed zero and finite temperature mean field treatments.While the shift of the transition temperature at zero chemical potential is inthe desirable direction and the phase boundary shape is improved, we find thatthe effects are too large to be compatible with the MDP simulation results.

Another mean field treatment in the strong coupling limit of lattice QCD