Joint Institute for Power and Nuclear Research – Sosny of the National Academy of Sciences of Belarus, Belarus

Non-perturbative evolution of gluon states is studied. Investigating of the gluon fluctuations we have proved theoretically the possibility of existence of the gluon squeezed states. The emergence of such remarkable states becomes possible owing to the gluon self-interaction. The features of squeezed states within Ginzburg–Landau theory are used to describe parton–hadron phase transitions in processes involving the production of rather high energy densities. Normalized factorial moments are studied as functions of a bin width of phase space at various values of the squeezing parameter. Regions in the phase space where the intermittency effect and scaling behavior of the factorial moments exists in the case of first- and second-order phase transitions are revealed. Comparison of the scaling exponent values as a function of the squeezing parameter with experimental data will enable future judgment of the phase transition presence and the magnitude of quantum squeezing, which is important for the search of quark–gluon plasma.