Free energy in the (2+1)-dimensional SU(2) QCD model against the background of a gauge-field condensate

The thermodynamic potential (free energy) for quarks and gluons in (2+1)-dimensional spacetime is calculated in the one-loop approximation at finite temperatures against the background of a constant uniform color magnetic field H and a constant uniform A ₀ condensate. The problem of interpreting the tachyon mode in the gluon energy spectrum is discussed. The question of whether the free energy may develop a minimum at nonzero values of H and A ₀ is analyzed.