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.
We study the Bose symmetry violation through the decays of heavy vector bosons at high energies. In particular, the decay of a Z-boson into two photons where one of the photons is the vector unparticle in the scale invariant sector is considered as a
sample. We find out that the Bose symmetry might be violated in the nearly conformal sector at high energy frontier. This may be useful in phenomenological application to the CERN LHC experiments for new physics searches.
We look at the new two-particle Bose-Einstein correlation (BEC) function accompanied by the color-electric flux model which can explain the ridge behavior in enhanced angular correlation between two identical pions at very broad rapidity with high mu
ltiplicity. We argue that such an investigation could probe both the size and the temperature of the source of two pions emitted into a narrow range of azimuthal angles. We can confirm the ev- idence for quark-gluon phase due to interaction of outgoing pions (having high transverse momenta) with the medium in thermal bath in proton-proton collisions.
