Renormalizability of the Refined Gribov-Zwanziger action in the linear covariant gauges
arXiv:1708.01543 · doi:10.1103/PhysRevD.96.054022
Abstract
The Refined Gribov-Zwanziger framework takes into account the existence of equivalent gauge field configurations in the gauge-fixing quantization procedure of Euclidean Yang-Mills theories. Recently, this setup was extended to the family of linear covariant gauges giving rise to a local and BRST-invariant action. In this paper, we give an algebraic proof of the renormalizability of the resulting action to all orders in perturbation theory.
arXiv comment25 pages, no figures
References in corpus (61)
- The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
- A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
- QCD and strongly coupled gauge theories: challenges and perspectives
- Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations
- On the infrared behavior of Landau gauge Yang-Mills theory
- The Infrared Behavior of Gluon and Ghost Propagators in Landau Gauge QCD
- Constraints on the IR behavior of the gluon propagator in Yang-Mills theories
- The QCD Running Coupling
- Landau gauge Yang-Mills correlation functions
- The Gribov problem and QCD dynamics
- New features of the gluon and ghost propagator in the infrared region from the Gribov-Zwanziger approach
- Infrared propagators of Yang-Mills theory from perturbation theory
- Gauge bosons at zero and finite temperature
- Constituent Quarks from QCD
- Modeling the Gluon Propagator in Landau Gauge: Lattice Estimates of Pole Masses and Dimension-Two Condensates
- Landau-gauge propagators in Yang-Mills theories at beta = 0: massive solution versus conformal scaling
- The non-perturbative groundstate of Q.C.D and the local composite operator A_mu^2
- The dynamical origin of the refinement of the Gribov-Zwanziger theory
- Lifting the Gribov ambiguity in Yang-Mills theories
- An exact nilpotent non-perturbative BRST symmetry for the Gribov-Zwanziger action in the linear covariant gauge
- 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
- The Landau gauge gluon and ghost propagator in the refined Gribov-Zwanziger framework in 3 dimensions
- Covariant gauge on the lattice: a new implementation
- The lattice gluon propagator in renormalizable gauges
- Gribov horizon and BRST symmetry: a few remarks
- Yang-Mills two-point functions in linear covariant gauges
- A local and BRST-invariant Yang-Mills theory within the Gribov horizon
- How nonperturbative is the infrared regime of Landau gauge Yang-Mills correlators?
- On gluon and ghost propagators in linear covariant gauges
- A study of the Gribov copies in linear covariant gauges in Euclidean Yang-Mills theories
- Gribov horizon beyond the Landau gauge
- Is soft breaking of BRST symmetry consistent?
- Introduction to the Gribov Ambiguities In Euclidean Yang-Mills Theories
- The Gribov horizon and spontaneous BRST symmetry breaking
- More on the non-perturbative Gribov-Zwanziger quantization of linear covariant gauges
- An all-order proof of the equivalence between Gribov's no-pole and Zwanziger's horizon conditions
- Non-perturbative aspects of Euclidean Yang-Mills theories in linear covariant gauges: Nielsen identities and a BRST invariant two-point correlation function
- A remark on the BRST symmetry in the Gribov-Zwanziger theory
- Alternative refined Gribov-Zwanziger Lagrangian
- Schwinger mechanism in linear covariant gauges
- Properties of the Faddeev-Popov operator in the Landau gauge, matter confinement and soft BRST breaking
- BRST-Symmetry Breaking and Bose-Ghost Propagator in Lattice Minimal Landau Gauge
- BRST Cohomology and Physical Space of the GZ Model
- On the elimination of infinitesimal Gribov ambiguities in non-Abelian gauge theories
- The effects of Gribov copies in 2D gauge theories
- A local and renormalizable framework for the gauge-invariant operator in Euclidean Yang-Mills theories in linear covariant gauges
- A new start for local composite operators
- Influence of Gribov ambiguities in a class of nonlinear covariant gauges
- Non-perturbative treatment of the linear covariant gauges by taking into account the Gribov copies
- Gribov horizon and non-perturbative BRST symmetry in the maximal Abelian gauge
- Gribov ambiguities at the Landau -- maximal Abelian interpolating gauge
- On bounds and boundary conditions in the continuum Landau gauge
- Finite Field-Dependent BRST-antiBRST Transformations: Jacobians and Application to the Standard Model
- A non-perturbative study of matter field propagators in Euclidean Yang-Mills theory in linear covariant, Curci-Ferrari and maximal Abelian gauges
- Aspects of the refined Gribov-Zwanziger action in linear covariant gauges
- Non-perturbative BRST quantization of Euclidean Yang-Mills theories in Curci-Ferrari gauges
- Remarks on the effects of the Gribov copies on the infrared behavior of higher dimensional Yang-Mills theory
- A study of the Gribov-Zwanziger action: from propagators to glueballs
- Exploring new horizons of the Gribov problem in Yang-Mills theories
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- High Precision Statistical Landau Gauge Lattice Gluon Propagator Computation vs. the Gribov-Zwanziger approach
- The analytic structure of the lattice Landau gauge gluon and ghost propagators
- The ghost-gluon vertex in the presence of the Gribov horizon
- The universal character of Zwanziger's horizon function in Euclidean Yang-Mills theories
- A fresh look at the (non-)Abelian Landau-Khalatnikov-Fradkin transformations
- The BRST-invariant vacuum state of the Gribov-Zwanziger theory
- Accessing the topological susceptibility via the Gribov horizon
- Infrared massive gluon propagator from a BRST-invariant Gribov horizon in a family of covariant gauges
- Gauge copies in the Landau-DeWitt gauge: a background invariant restriction
- On a renormalizable class of gauge fixings for the gauge invariant operator
- Landau-Khalatnikov-Fradkin Transformations, Nielsen Identities, Their Equivalence and Implications for QCD
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- Towards background field independence within the Gribov horizon
- Refined Gribov-Zwanziger theory coupled to scalar fields in the Landau gauge
- Landau-Khalatnikov-Fradkin transformations for the two loop massless quark propagator
- Study of a gauge invariant local composite fermionic field
- QCD phase diagram from the gluon propagator at finite temperature and density
- Lorentz symmetry breaking in a Yang-Mills theory within the Gribov restriction
- Non-Abelian extension of the aether term and the Gribov problem
- Infrared propagators of Yang-Mills-Chern-Simons theories in linear covariant gauges
- On the renormalization of a generalized supersymmetric version of the maximal Abelian gauge
- An all order renormalizable Refined-Gribov-Zwanziger model with BRST invariant fermionic horizon function in linear covariant gauges
- Gauge copies and the fate of background independence in Yang-Mills theories: a leading order analysis
- Non-Abelian gauge theories with composite fields in the background field method
- High energy evolution for Gribov-Zwanziger confinement: solution to the equation
- Revisiting the Abelian super Stueckelberg model
- On the consistency of Lorentz-Violating Yang-Mills theories: Gauge invariance and non-perturbative effects
- Study of the all orders multiplicative renormalizability of a local matter confining Gribov-Zwanziger action in the MAG
- High Precision Statistical Landau Gauge Lattice Gluon Propagator Computation