  We are computing the modifications for the scalar and pseudoscalar meson
masses and mixing angles due to the proper accounting of fermionic vacuum
fluctuation in the framework of the generalized 2+1 flavor quark meson model
and the Polyakov loop augmented quark meson model(PQM). The renormalized
contribution of the divergent fermionic vacuum fluctuation at one loop level
makes these models effective QCD-like models. It has been explicitly shown that
analytical expressions for the model parameters, meson masses, and mixing
angles do not depend on any arbitrary renormalization scale. We have
investigated how the incorporation of fermionic vacuum fluctuation in quark
meson and PQM models qualitatively and quantitatively affects the convergence
in the masses of the chiral partners in pseudoscalar ($\pi$, $\eta$, $\eta'$,
$K$) and scalar ($\sigma$, $a_0$, $f_0$, $\kappa$) meson nonets as the
temperature is varied on the reduced temperature scale. Comparison of present
results in the quark meson model with vacuum term and PQM model with vacuum
term with the already existing calculations in the bare 2+1 quark meson and PQM
models, shows that the restoration of chiral symmetry becomes smoother due to
the influence of the fermionic vacuum term. We find that the melting of the
strange condensate registers a significant increase in the presence of the
fermionic vacuum term and its highest melting is found in the PQM model with
vacuum term. The role of the $U_A(1)$ anomaly in determining the isoscalar
masses and mixing angles for the pseudoscalar ($\eta$ and $\eta'$) and scalar
($\sigma$ and $f_0$) meson complex has also been significantly modified due to
the fermionic vacuum correction. In its influence, the interplay of chiral
symmetry restoration and the setting up of the $U_A(1)$ restoration trends have
also been shown to be significantly modified.

High Energy Physics - Phenomenology