Soft breaking of BRST symmetry and gauge dependence

Abstract

We continue investigation of soft breaking of BRST symmetry in the Batalin-Vilkovisky (BV) formalism beyond regularizations like dimensional ones used in our previous paper [JHEP 1110 (2011) 043, arXiv:1108.4820 [hep-th]]. We generalize a definition of soft breaking of BRST symmetry valid for general gauge theories and arbitrary gauge fixing. The gauge dependence of generating functionals of Green's functions is investigated. It is proved that such introduction of a soft breaking of BRST symmetry into gauge theories leads to inconsistency of the conventional BV formalism.

1+11 pages, presentation improved, comparison with the results from the paper arXiv:1108.4820 [hep-th] clarified in details

References in corpus (6)

• 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
• Is soft breaking of BRST symmetry consistent?
• 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

Cited by in corpus (22)

• On the Functional Renormalization Group approach for Yang-Mills fields
• The Gribov horizon and spontaneous BRST symmetry breaking
• BRST Cohomology and Physical Space of the GZ Model
• Spontaneous Breaking of the BRST Symmetry in the ABJM theory
• Finite Field-Dependent BRST-antiBRST Transformations: Jacobians and Application to the Standard Model
• Field-Dependent BRST-antiBRST Lagrangian Transformations
• On Gauge Independence for Gauge Models with Soft Breaking of BRST Symmetry
• Boundary Effects in Super-Yang-Mills Theory
• On Composite fields approach to Gribov copies elimination in Yang-Mills theories
• Gauge dependence of vacuum expectation values of gauge invariant operators from soft breaking of BRST symmetry. Example of Gribov-Zwanziger action
• Remarks on the Curci-Ferrari model
• Exploring new horizons of the Gribov problem in Yang-Mills theories
• Spontaneous breaking of nilpotent symmetry in boundary BLG theory
• Once again on the Gribov horizon
• Lorentz symmetry breaking in a Yang-Mills theory within the Gribov restriction
• Numerical Evaluation of the Bose-Ghost Propagator in Minimal Landau Gauge on the Lattice
• A BRST Characterization of the Broken Phase Observables of the Confining Complex Theory
• A path to confine gluons and fermions through complex gauge theory
• Notes on soft breaking of BRST symmetry in the Batalin-Vilkovisky formalism
• Non-Abelian gauge theories with composite fields in the background field method
• On Consistent Lagrangian Quantization of Yang--Mills Theories without Gribov Copies
• Confining Potentials