  Features of screening and confinement are studied for a non-Abelian gauge
theory with a mixture of pseudoscalar and scalar coupling, in the case where a
constant chromo-electric, or chromo-magnetic, strength expectation value is
present. Our discussion is carried out using the gauge-invariant but
path-dependent variables formalism. We explicitly show that the static
potential profile is the sum of a Yukawa and a linear potential, leading to the
confinement of static probe charges. Interestingly, similar results have been
obtained in the context of gluodynamics in curved space-time. For only
pseudoscalar coupling, the results are radically different.
