Chiral effective model with the Polyakov loop

Abstract

We discuss how the simultaneous crossovers of deconfinement and chiral restoration can be realized. We propose a dynamical mechanism assuming that the effective potential gives a finite value of the chiral condensate if the Polyakov loop vanishes. Using a simple model, we demonstrate that our idea works well for small quark mass, though there should be further constraints to reach the perfect locking of two phenomena.

Figures (3)

• Figure 1: The left figure is the behavior of the traced Polyakov loop $l$ and the chiral condensate $\chi/\chi_0$ (normalized by the value at $T=0$) at $\mu=0$. The dotted curves represent $\chi/\chi_0$ calculated from $\Omega_{\text{NJL}}$ and $l$ from $V_{\text{glue}}$. The right figure is the susceptibility.
• Figure 2: The order parameter and susceptibility around the chiral critical end-point with $\mu_{\textsf{E}}=321\,\text{MeV}$.
• Figure 3: The order parameter and susceptibility around the deconfinement critical end-point with $m_q^{\textsf{D}}=788\,\text{MeV}$ and $\mu=0\,\text{MeV}$.