  In this paper we present a QCD motivated model that mimics QCD theory. We
examine the characteristics of the gauge field coupled with the color
dielectric function ($G$) in the presence of temperature ($T$). The aim is to
achieve confinement at low temperatures $T<T_{c}$, ($T_{c}$, is the critical
temperature), similar to what occurs among quarks and gluons in hadrons at low
energies. Also, we investigate scalar glueballs and QCD string tension and
effect of temperature on them. To achieve this, we use the phenomenon of color
dielectric function in gauge fields in a slowly varying tachyon medium. This
method is suitable for analytically computing the resulting potential, glueball
masses and the string tension associated with the confinement at a finite
temperature. We demonstrate that the color dielectric function changes
Maxwell's equation as a function of the tachyon fields and induces the electric
field in a way that brings about confinement during the tachyon condensation
below the critical temperature.
