The β-functions of a general non-symmetric model involving vector fields

The β-function of a general non-symmetric model with vector and ghost fields, which is renormalizable by power counting, are calculated in one-loop approximation. Because the BRS-symmetric theory without matter fields is embedded, one gets in a special case the renormalization group coefficients of the gauge parameters in general non-linear gauges, which serve also as a stringent check for the correctness of the β-functions. (orig.)