Abstract
In the paper, within the background field method, the renormalization and the gauge dependence is studied as for an SU(2) Yang–Mills theory with multiplets of spinor and scalar fields. By extending the quantum action of the BV-formalism with an extra fermion vector field and a constant fermion parameter, the multiplicative character of the renormalizability is proven. The renormalization of all the physical parameters of the theory under consideration is shown to be gauge-independent.
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