Gribov horizon and BRST symmetry: a few remarks
arXiv:0905.1010 · doi:10.1103/PhysRevD.80.025013
Abstract
The issue of the BRST symmetry in presence of the Gribov horizon is addressed in Euclidean Yang-Mills theories in the Landau gauge. The positivity of the Faddeev-Popov operator within the Gribov region enables us to convert the soft breaking of the BRST invariance exhibited by the Gribov-Zwanziger action into a non-local exact symmetry, displaying explicit dependence from the non-perturbative Gribov parameter. Despite its non-locality, this symmetry turns out to be useful in order to establish non-perturbative Ward identities, allowing us to evaluate the vacuum expectation value of quantities which are BRST exact. These results are generalized to the refined Gribov-Zwanziger action introduced in [1], which yields a gluon propagator which is non-vanishing at the origin in momentum space, and a ghost propagator which is not enhanced in the infrared.
arXiv comment23 pages, final version, to appear in Phys. Rev. D
References in corpus (21)
- A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
- Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations
- Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared
- Constraints on the IR behavior of the gluon propagator in Yang-Mills theories
- New features of the gluon and ghost propagator in the infrared region from the Gribov-Zwanziger approach
- On the IR behaviour of the Landau-gauge ghost propagator
- Constraints on the IR behavior of the ghost propagator in Yang-Mills theories
- Landau-gauge propagators in Yang-Mills theories at beta = 0: massive solution versus conformal scaling
- The Gribov parameter and the dimension two gluon condensate in Euclidean Yang-Mills theories in the Landau gauge
- Two- and three-point Green's functions in two-dimensional Landau-gauge Yang-Mills theory
- Landau gauge within the Gribov horizon
- 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
- An analytic study of the off-diagonal mass generation for Yang-Mills theories in the maximal Abelian gauge
- Infrared behavior and Gribov ambiguity in SU(2) lattice gauge theory
- The Diagonal Ghost Equation Ward Identity for Yang-Mills Theories in the Maximal Abelian Gauge
- One loop gluon form factor and freezing of alpha_s in the Gribov-Zwanziger QCD Lagrangian
- The gluon and ghost propagators in Euclidean Yang-Mills theory in the maximal Abelian gauge: taking into account the effects of the Gribov copies and of the dimension two condensates
- The effects of Gribov copies in 2D gauge theories
- Study of the Gribov region in Euclidean Yang-Mills theories in the maximal Abelian gauge
- Some exact infrared properties of gluon and ghost propagators and long-range force in QCD
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- Quark Confinement from Color Confinement
- Indirect lattice evidence for the Refined Gribov-Zwanziger formalism and the gluon condensate in the Landau gauge
- An exact nilpotent non-perturbative BRST symmetry for the Gribov-Zwanziger action in the linear covariant gauge
- Brout-Englert-Higgs physics: From foundations to phenomenology
- A local and BRST-invariant Yang-Mills theory within the Gribov horizon
- Gribov horizon and i-particles: about a toy model and the construction of physical operators
- The Gribov horizon and spontaneous BRST symmetry breaking
- More on the non-perturbative Gribov-Zwanziger quantization of linear covariant gauges
- A remark on the BRST symmetry in the Gribov-Zwanziger theory
- Relating Gribov-Zwanziger theory to effective Yang-Mills theory
- Strong-coupling study of the Gribov ambiguity in lattice Landau gauge
- Gluon confinement, i-particles and BRST soft breaking
- Properties of the Faddeev-Popov operator in the Landau gauge, matter confinement and soft BRST breaking
- Renormalizability of the Refined Gribov-Zwanziger action in the linear covariant gauges
- BRST-Symmetry Breaking and Bose-Ghost Propagator in Lattice Minimal Landau Gauge
- BRST Cohomology and Physical Space of the GZ Model
- Study of the properties of the Gribov region in SU(N) Euclidean Yang-Mills theories in the maximal Abelian gauge
- Symmetry breaking, conformal geometry and gauge invariance
- Features of ghost-gluon and ghost-quark bound states related to BRST quartets
- Non-perturbative treatment of the linear covariant gauges by taking into account the Gribov copies
- The universal character of Zwanziger's horizon function in Euclidean Yang-Mills theories
- Gribov horizon and non-perturbative BRST symmetry in the maximal Abelian gauge
- Renormalizability of the linearly broken formulation of the BRST symmetry in presence of the Gribov horizon in Landau gauge Euclidean Yang-Mills theories
- Implementing the Gribov-Zwanziger framework in N=1 Super Yang-Mills in the Landau gauge
- On the reanimation of a local BRST invariance in the (Refined) Gribov-Zwanziger formalism
- Goldstone bosons and fermions in QCD
- Lattice Landau gauge with stochastic quantisation
- A renormalization group invariant scalar glueball operator in the (Refined) Gribov-Zwanziger framework
- Constraining the gauge-fixed Lagrangian in minimal Landau gauge
- More on the properties of the first Gribov region in Landau gauge
- Non-perturbative BRST quantization of Euclidean Yang-Mills theories in Curci-Ferrari gauges
- The nilpotent "BRST" symmetry for the Gribov-Zwanziger theory
- Thermodynamics of an exactly solvable confining quark model
- Remarks on the effects of the Gribov copies on the infrared behavior of higher dimensional Yang-Mills theory
- Spontaneous breaking of the BRST symmetry in presence of the Gribov horizon: renormalizability
- Refined Gribov-Zwanziger theory coupled to scalar fields in the Landau gauge
- Towards background field independence within the Gribov horizon
- A nonperturbative construction of massive Yang-Mills fields without Higgs fields
- On general ultraviolet properties of a class of confining propagators
- Decoupling and scaling solutions in Yang-Mills theory with the Gribov horizon
- Yang-Mills Theory in lambda-Gauges
- Study of the all orders multiplicative renormalizability of a local confining quark action in the Landau gauge
- Hints of (de)confinement in Yang-Mills-Chern-Simons theories in the maximal Abelian gauge
- Features of the Refined Gribov-Zwanziger theory: propagators, BRST soft symmetry breaking and glueball masses
- Screening masses in quenched (2+1)d Yang-Mills theory: universality from dynamics?
- Non-Abelian extension of the aether term and the Gribov problem
- Lorentz symmetry breaking in a Yang-Mills theory within the Gribov restriction
- Correspondence between the twisted super-Yang-Mills and conformal Baulieu-Singer theories
- Numerical Evaluation of the Bose-Ghost Propagator in Minimal Landau Gauge on the Lattice
- A path to confine gluons and fermions through complex gauge theory
- Gauge copies and the fate of background independence in Yang-Mills theories: a leading order analysis
- Infrared propagators of Yang-Mills-Chern-Simons theories in linear covariant gauges
- Remarks on Gribov mechanism on N=1 Supersymmetric 3D theories and the possibility of obtaining Gribov from one ABJM like Theory
- A mass-deformed BLG theory in Gribov-Zwanziger framework
- Predicting Planck scale and Newtonian constant from a Yang-Mills gauge theory: 1 and 2-loops estimates
- On the zero modes of the Faddev-Popov operator in the Landau gauge
- Gribov Propagator and Symmetry Breaking
- On the consistency of Lorentz-Violating Yang-Mills theories: Gauge invariance and non-perturbative effects
- On BRST-Related Symmetries in the FLPR Model with Gribov Ambiguities
- Gribov horizon, Polyakov loop and finite temperature