Effective potential for the $SU(3)\times U(1)$ gauge field model at finite temperature

Vacuum polarization with the contribution of quarks that interact with the interfering electromagnetic and non-Abelian gauge background fields in an $SU(3)\times U(1)$ model of QFT at finite temperature is considered. In the one-loop approximation, the expression for the effective potential describing interference of the external electromagnetic $\vec{E}, \vec{H}$ and the vacuum chromomagnetic $\vec{B}$ fields is obtained. The finite temperature effect on the contribution of interfering fields to the vacuum energy of the model is analyzed.