Ising-like dynamical signatures and the end-point 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 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.

10 pages, RevTeX, 5 figures. Version accepted for publication in PRD

References in corpus (1)

• Lattice determination of the critical point of QCD at finite T and μ

Cited by in corpus (9)

• Sigma and hydrodynamic modes along the critical line
• Scalar density fluctuation at critical end point in NJL model
• Dynamic critical phenomena from spectral functions on the lattice
• Goldstone excitations from spinodal instability
• Out of Equilibrium Non-perturbative Quantum Field Dynamics in Homogeneous External Fields
• Mass Renormalization in Lattice Simulations of False Vacuum Decay
• Dynamic structure factor of the Ising model with purely relaxational dynamics
• Lattice QCD results at finite T and μ
• Out of equilibrium quantum field dynamics of an initial thermal state after a change in the external field