  We develop the model of the critical phenomena of strongly interacting matter
at high temperatures and baryon densities. The dual Yang-Mills theory with
scalar degrees of freedom (the dilatons) is used. The dilatons are the
consequence of a spontaneous breaking of a scale symmetry. The phase
transitions are considered in systems where the field conjugate to the order
parameter has the critical end mode. The critical end point (CEP) is a distinct
singular feature existence of which is dictated by the chiral dynamics. The
physical realization of CEP is via the influence quantum fluctuations of
two-body Bose-Einstein correlations for observed particles to which the
critical end mode couples.
