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An effective field approximation, similar to the atomic Thomas-Fermi approach, is proposed for studying non-Abelian gauge theories which includes finite-volume effects. As applications of the formalism the equation of state for an SU(2) gauge theory with massless fermions is obtained. The extensions to realistic situations are briefly discussed.

Erratum: Thomas-Fermi approximation for gauge theories [Phys. Rev. D55, 6344 (1997)]