A novel mathematical mechanism of the critical endpoint generation

We develop a novel model of the QCD matter critical endpoint by matching the deconfinement phase transition curve with the nil line of the bag surface tension coefficient. As a result, this leads to a new structure of the leading singularities of isobaric partition, and in contrast to all previous studies of such models, the deconfined phase in our approach is defined not by an essential singularity of the isobaric partition function but its simple pole. As an unexpected result, we find out that the first order phase transition in this model is the surface tension induced transition. The sufficient conditions of its existence are analyzed and the possible physical consequences are discussed.