Abstract
Equilibrium configurations for the instanton and anti-instanton system of the SU(2) gauge field under constant external color magnetic fields are studied by applying the statistical mechanics method. Above a certain cutoff length for the dipolar interaction between pseudoparticles, we obtain two branches of equilibrium configurations with high or low instanton densities when the color magnetic field is below a certain value, while above it no equilibrium state exists. Stable states are limited to a narrow region of low instanton densities and all equilibrium states on the remaining region are unstable.
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