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It is shown that an (anti-)self-dual homogeneous vacuum gluon field appearsin a natural way within the problem of calculation of the QCD partitionfunction in the form of Euclidean functional integral with periodic boundaryconditions. There is no violation of cluster property within this formulation,nor are parity, color and rotational symmetries broken explicitly. The masslesslimit of the product of the quark masses and condensates, $m_f \langle\bar\psi_f \psi_f \rangle$, is calculated to all loop orders. This quantitydoes not vanish and is proportional to the gluon condensate appearing due tothe nonzero strength of the vacuum gluon field. We conclude that the gluoncondensate can be considered as an order parameter both for confinement andchiral symmetry breaking.Comment: 16 pages, LaTe

(Anti-)self-dual homogeneous vacuum gluon field as an origin of confinement and SUL(NF) × SUR(NF) symmetry breaking in QCD