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In this paper we apply the formalism of local composite operators asdeveloped by Verschelde et al. in combination with a constant chromomagneticfield as considered in the seventies by Savvidy and others. We find that anonzero <A_\mu^2> minimizes the vacuum energy, as in the case with nochromomagnetic field, and that the chromomagnetic field itself is near-to zero.The Nielsen-Olesen instability, caused by the imaginary part in the action,also vanishes. We further investigate the effect of an external chromomagneticfield on the value of <A_\mu^2>, finding that this condensate is destroyed bysufficiently strong fields. The inverse scenario, where <A_\mu^2> is consideredas external, results in analogous findings: when this condensate issufficiently large, the induced chromomagnetic field is lowered to aperturbative value slightly below the applied <A_\mu^2>.

Resolving the instability of the Savvidy vacuum by dynamical gluon mass