Abstract
A definition of soft breaking of BRST symmetry in the field-antifield formalism is proposed, valid for general gauge theories and arbitrary gauge fixing. The Ward identities for the generating functionals of Green's functions are derived, and their gauge dependence is investigated. We discuss the Gribov-Zwanziger action for the one-parameter family of R_xi gauges. It is argued that gauge theories with a soft breaking of BRST symmetry are inconsistent.
Highlights
We shall speak of a soft breaking of BRST symmetry in the field-antifield formalism if the condition (M, M ) = 0 (2.12)
We turn to a discussion of gauge dependence of the generating functionals Z, W and Γ for general gauge theories with a soft breaking of BRST symmetry as defined in the previous section
We have proposed a definition of soft breaking of BRST symmetry in the field-antifield formalism
Summary
The type of initial gauge theory defines the structure of configuration space {ΦA} in the field-antifield formalism [18, 19],. We shall speak of a soft breaking of BRST symmetry in the field-antifield formalism if the condition (M, M ) = 0. If the soft breaking of BRST symmetry originates from a modification of the integration measure, M will be a functional of the field variables ΦA only, i.e. M = M (Φ) In this case, the condition (2.12) is automatically valid. On this level we formally meet the same relation as for general gauge theories without a soft breaking of BRST symmetry
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