Is soft breaking of BRST symmetry consistent?
arXiv:1108.4820 · doi:10.1007/JHEP10(2011)043
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.
1+16 pages; v2: example of section 5 changed to R_xi gauges; v3: small corrections to section 5, one reference added, published version
References in corpus (6)
- Gauge Invariance in Field Theory and Statistical Physics in Operator Formalism
- The dynamical origin of the refinement of the Gribov-Zwanziger theory
- Gribov no-pole condition, Zwanziger horizon function, Kugo-Ojima confinement criterion, boundary conditions, BRST breaking and all that
- Soft breaking of BRST invariance for introducing non-perturbative infrared effects in a local and renormalizable way
- A remark on the BRST symmetry in the Gribov-Zwanziger theory
- Renormalizability of the linearly broken formulation of the BRST symmetry in presence of the Gribov horizon in Landau gauge Euclidean Yang-Mills theories
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