Deconfinement phase transition for the nontopological soliton bag model and symmetry restore phase transition for Φ4 model

Under the Hartree mean-field approximat ion and the high-temperature approximation, the author established a mapping relation between some types of the special solutions of the Φ4 model and the nontopological soliton bag model. From the mapping relation it is found that nonspherical topological kink and antikink of Φ4 model are paired to form bound state - the nonspherical nontopological soliton solution of the nontopological soliton bag model. The symmetry restoration phase transition of the Φ4 model occurs when the topological kink and antikink disappear; and the deconfinement phase transition of the nontopological soliton bag model occurs when the bound state of the topological kink and antikink (nontopological soliton) vanishes