Gauge-invariant truncation scheme for the Schwinger-Dyson equations of QCD

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The BFM preserves the symmetry of the action under ordinary gauge transformations with respect to the background gauge field A ^ μ a \widehat{A}^{a}_{\mu} , while the quantum A μ a A^{a}_{\mu} ( appearing in loops ) transforms homogeneously. As a result, the background n n -point functions satisfy QED-like WIs. See L. F. Abbott, Nucl. Phys. B 185

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