  We analyze the critical phenomena in the theory of strong interactions at
high temperatures starting from first principles. The model is based on the
dual Yang-Mills theory with scalar degrees of freedom - the dilatons. The
latter are produced due to the spontaneous breaking of an approximate scale
symmetry. The phase transitions are considered in systems where the field
conjugate to the order parameter has the (critical) chiral end mode. The hiral
end point (ChEP) is a distinct singular feature existence of which is dictated
by the chiral dynamics. The physical approach the effective ChEP is studied via
the influence fluctuations of two-body Bose-Einstein correlation function for
observed particles to which the chiral end mode couples.
