Chiral condensate and dressed Polyakov loop in the Nambu--Jona-Lasinio model

Understand

We investigate the chiral condensate and the dressed Polyakov loop or dual chiral condensate at finite temperature and density in two-flavor Nambu--Jona-Lasinio model.

• The dressed Polyakov loop is regarded as an equivalent order parameter of deconfinement phase transition in a confining theory.
• We find the behavior of dressed Polyakov loop in absence of any confinement mechanism is quite interesting, with only quark degrees of freedom present, it still shows an order parameter like behavior.
• It is found that in the chiral limit, the critical temperature for chiral phase transition coincides with that of the dressed Polyakov loop in the whole $(T,\mu)$ plane.