Ising-like dynamical signatures and the end point of the QCD transition line -: art. no. 125011

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.