Induced color charges in QGP at Polyakov's loop and chromomagnetic fields

In quark-gluon plasma (QGP), at high temperature the spontaneous generation of color magnetic fields, H^3(T), H^8(T) and usual magnetic field $H(T) is realized. Also, classical field - A_0(T) condensate directly related to the Polyakov loop - is spontaneously created. The common generation of both of them within the two loop effective potential was investigated recently for SU(2) gluodynamics. The values of the field strengths and the mechanism of the magnetic fields stabilization due to A_0(T) have been discovered. In the present paper, we develop further these investigations in order to find new effects of QGP. First of all, we generalize the SU(2) consideration to the full QCD case. Then we calculate the induced color charge Q_(ind)^3 at the background magnetic field H(T) and the condensates A_0^3(T). The field$ A_0^8(T) is zero in used two-loop approximation. So, Q_{ind}^8 is zero also. We conclude that magnetic field essentially influences the induced charge compared to the zero field case investigated in \cite{skal21-cond-156}. The extension to other type magnetic fields is given. Key words: spontaneous magnetization, high temperature, asymptotic freedom, effective potential, $A_0$ condensate, effective charge, effective vertexes.