  The pion and kaon properties in a nuclear medium at nonvanishing temperature
as well as the QCD chiral condensate in the presence of a magnetic field for
various baryon densities are studied in the Nambu-Jona-Lasinio (NJL) model with
the help of the proper-time regularization (PTR) scheme, simulating a QCD
confinement. The density dependent of the quark mass in symmetric nuclear
matter is obtained from the quark-meson coupling (QMC) model, which shares the
same covariant feature with the NJL model, at quark level. We then analyze the
QCD chiral condensates, and dynamical masses for various baryon densities at
finite temperature and magnetic field as well as the pion and kaon masses, pion
and kaon weak-decay constants, pion-and kaon-quark coupling constants, and wave
function renormalization factors for various baryon densities at finite
temperature. We find that the QCD chiral condensates suppress with increasing
temperature and baryon density and enhance under the presence of a magnetic
field, which are consistent with other model predictions. Interestingly, the
wave function renormalization factors for the pion and kaon increase with
respect to temperature and reduce as the baryon density increases are found.
