  We study a phenomenological model that mimics the characteristics of QCD
theory at finite temperature. The model involves fermions coupled with a
modified Abelian gauge field in a tachyon matter. It reproduces some important
QCD features such as, confinement, deconfinement, chiral symmetry and
quark-gluon-plasma (QGP) phase transitions. The study may shed light on both
light and heavy quark potentials and their string tensions. Flux-tube
potentials are developed depending on the regime under consideration. Other
confining properties such as scalar glueball mass, gluon mass, glueball-meson
mixing states and gluon condensate is exploited as well. The study is focused
on two possible regimes, the ultraviolet (UV) and the infrared (IR) regimes.
