Perturbative calculation of the scaled factorial moments in the second-order quark-hadron phase transition within the Ginzburg-Landau description

The scaled factorial moments F-q(-) are studied for a second-order quark-hadron phase transition within the Ginzbug-Landau description. The role played by the ground state of the system under low temperature is emphasized. After a local shift of the order parameter the fluctuations are around the ground state, and a perturbative calculation for F-q can be carried out. Power scaling between F-q's is shown, and a universal scaling exponent nu similar or equal to 1.75 is given for the case with weak correlations and weak self-interactions.