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We investigate the effect of screening of the four-quarks contactinteractions by the ring diagram at finite temperature and density in aneffective chiral model inspired by QCD in the Coulomb gauge. As a consequence,a medium-dependent coupling naturally emerges which, in a class of chiralmodels, brings the chiral crossover temperature down to the value calculated inLQCD at low net-baryon density. Furthermore, it implies a stronger divergenceof the chiral susceptibility at the critical point compared to the mean-fielddynamics. At vanishing temperature, however, the transition sets in atunphysically small chemical potential, indicating a need for additional effectsto compensate for the screening strength. We discuss the properties of aneffective potential for a class of models described by momentum-independent gapequations. In particular, we introduce the method to construct an approximateeffective potential from the gap equations to determine the location of thefirst-order phase transition.

Influence of dynamical screening of four-quarks interaction on the chiral phase diagram