Energy-driven disorder in mean field QCD

The impact of the finite-size effects on vacuum free energy density full QCD with ${N}_{f}$ massless flavors in presence a homogeneous (anti-)self-dual Abelian background gluon field is studied. zero-temperature four-dimensional spherical domain computed as function strength $B$ and radius $R$. calculation performed one-loop approximation improved by accounting for mixing quark quasizero modes normal modes, use $\ensuremath{\zeta}$-function regularization. It indicated that, under plausible assumptions character mixing, quantum correction to has minimum Within mean-field approach based wall network representation mean field, existence may prevent infinite growth individual domains, thus protecting from long-range ordering, hence serving origin disorder statistical ensemble networks, driven minimization overall dominant gauge configurations.