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Using vector and axial-vector correlators within finite energy sum rules withinputs from a chiral quark model, coupled to the Polyakov loop, with nonlocalvector interactions, we extend our previous work to confirm the equivalencebetween the continuum threshold $s_0$ and the trace of the Polyakov loop $\Phi$as order parameters for the deconfinement transition at finite temperature $T$and quark chemical potential $\mu$. The obtained results are in agreement withour initial conclusion, where we showed that $s_0(T,\mu)$ and $\Phi(T,\mu)$provide the same information for the QCD deconfinement transition.

Relation between the continuum threshold and the Polyakov loop with the QCD deconfinement transition