Model of a hybrid chiral bag involving constituent quarks

A three-phase modification of the hybrid quark-bag model is considered. In addition to the asymptotic-freedom and the hadronization phase, it includes the intermediate phase of constituent quarks. In the (1+1)-dimensional version of this model, a self-consistent solution is found with allowance for fermion-vacuum-polarization effects. Within this solution, the total bag energy, including the one-loop contribution from the Dirac sea, is investigated as a function of parameters that characterize bag geometry, the condition of a nonvanishing boson-condensate density in the internal region being imposed. It is shown that the ground-state bag configuration that is constructed on the basis of the solution found here, which minimizes the total energy, and which includes all three phases exists and is unique.