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   <subfield code="a">We show that the gauge invariance of the operator ∫ dx tr(A µ 2 −2/(gξ)x υθµυ A µ) in a noncommutative gauge theory does not lead to the gauge independence of its vacuum condensate. We obtain the generalized Ward identities for Green's functions containing the operator limΩ→∞(1/Ω)∫Ω dx tr (A µ 2 ) in commutative and noncommutative gauge theories.</subfield>
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