Ising - like dynamical signatures and the endpoint of the QCD transition line

Abstract

An increase in the size of coherent domains in the one component Phi^4 field theory under the influence of a uniformly changing external magnetic field near the critical end point T_Phi=T_c, h_Phi=0 was proposed recently as an estimate also for the variation of the chiral correlation length of QCD near its respective hypothetical end point in the T_QCD-mu_QCD plane. The present detailed numerical investigation of the effective model suggests that passing by the critical QCD end point with a realistic rate of temperature change will trigger large amplitude oscillations in the temporal variation of the chiral correlation length. A simple mechanism for producing this phenomenon is suggested.