The Gribov-Zwanziger action in the presence of the gauge invariant, nonlocal mass operator $Tr\int d^{4}x{F}_{\mu \nu }(D^2{)}^{-1}{F}_{\mu \nu }$ in the Landau gauge

Abstract

We prove that the nonlocal gauge invariant mass dimension two operator $F_{\mu \nu }(D^2{)}^{-1}{F}_{\mu \nu }$ can be consistently added to the Gribov-Zwanziger action, which implements the restriction of the path integral's domain of integration to the first Gribov region when the Landau gauge is considered. We identify a local polynomial action and prove the renormalizability to all orders of perturbation theory by employing the algebraic renormalization formalism. Furthermore, we also pay attention to the breaking of the BRST invariance, and to the consequences that this has for the Slavnov-Taylor identity.

arXiv comment30 pages

References in corpus (43)

• The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
• The Infrared Behavior of Gluon and Ghost Propagators in Landau Gauge QCD
• On the Infrared Exponent for Gluon and Ghost Propagation in Landau Gauge QCD
• A Solution to Coupled Dyson-Schwinger Equations for Gluons and Ghosts in Landau Gauge
• Non-perturbative Landau gauge and infrared critical exponents in QCD
• Analytic properties of the Landau gauge gluon and quark propagators
• On the Significance of the Quantity "A Squared"
• Short-distance tachyonic gluon mass and 1/Q^2 corrections
• Non-perturbative Faddeev-Popov formula and infrared limit of QCD
• Infinite Volume and Continuum Limits of the Landau-Gauge Gluon Propagator
• On the Emerging Phenomenology of <(A_μ)^2>
• The non-perturbative groundstate of Q.C.D and the local composite operator A_mu^2
• A dynamical gluon mass solution in a coupled system of the Schwinger-Dyson equations
• Gluon mass generation in the PT-BFM scheme
• Gluon propagators and quark confinement
• The Gribov parameter and the dimension two gluon condensate in Euclidean Yang-Mills theories in the Landau gauge
• Off-diagonal Gluon Mass Generation and Infrared Abelian Dominance in the Maximally Abelian Gauge in Lattice QCD
• Positivity violation for the lattice Landau gluon propagator
• The anomalous dimension of the composite operator A^2 in the Landau gauge
• Propagators and running coupling from SU(2) lattice gauge theory
• Landau gauge within the Gribov horizon
• Running Coupling in Non-Perturbative QCD - I. Bare Vertices and y-max Approximation
• SU(2) Landau gluon propagator on a 140^3 lattice
• Verifying the Kugo-Ojima Confinement Criterion in Landau Gauge Yang-Mills Theory
• Abelian dominance and gluon propagators in the Maximally Abelian gauge of SU(2) lattice gauge theory
• An analytic study of the off-diagonal mass generation for Yang-Mills theories in the maximal Abelian gauge
• QCD in the Infrared with Exact Angular Integrations
• Seeking an Even-Parity Mass Term for 3-D Gauge Theory
• First Lattice Study of Ghost Propagators in SU(2) and SU(3) Gauge Theories
• The Gluon Propagator on a Large Volume, at $\beta =6.0$
• A Phenomenological Analysis of Gluon Mass Effects in Inclusive Radiative Decays of the $J/\psi$ and $Υ
• Infrared Features of the Landau Gauge QCD
• Infrared behavior of the gluon propagator in lattice Landau gauge: the three-dimensional case
• Two loop effective potential for < A^2_μ> in the Landau gauge in quantum chromodynamics
• One loop gluon form factor and freezing of alpha_s in the Gribov-Zwanziger QCD Lagrangian
• What the Gribov copy tells on the confinment and the theory of dynamical chiral symmetry breaking
• A study of the gauge invariant, nonlocal mass operator $Tr\int d^{4}x{F}_{\mu \nu }(D^2{)}^{-1}{F}_{\mu \nu }$ in Yang-Mills theories
• Off-diagonal Gluon Mass Generation and Infrared Abelian Dominance in Maximally Abelian Gauge in SU(3) Lattice QCD
• On practical problems to compute the ghost propagator in SU(2) lattice gauge theory
• On the SL(2,R) symmetry in Yang-Mills Theories in the Landau, Curci-Ferrari and Maximal Abelian Gauge
• A new start for local composite operators
• Quantum properties of a non-Abelian gauge invariant action with a mass parameter
• Unitarity analysis of a non-Abelian gauge invariant action with a mass

Cited by in corpus (13)

• A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
• On the infrared behavior of Landau gauge Yang-Mills theory
• The QCD Running Coupling
• Gauge bosons at zero and finite temperature
• More on Gribov copies and propagators in Landau-gauge Yang-Mills theory
• The Landau gauge gluon and ghost propagator in the refined Gribov-Zwanziger framework in 3 dimensions
• A covariant variational approach to Yang-Mills Theory
• A covariant variational approach to Yang-Mills Theory at finite temperatures
• Gribov as a Phase Transition
• Revisiting the gauge principle: enforcing constants of motion as constraints
• Tunable coaxial cavity resonator for linear and nonlinear microwave characterization of superconducting wires
• Electromagnetic response of LaO_0.94F_0.06FeAs: AC susceptibility and microwave surface resistance
• Study of the nonlocal gauge invariant mass operator $\mathrm{Tr}\int d^{4}x{F}_{\mu \nu }(D^2{)}^{-1}{F}_{\mu \nu }$ in the maximal Abelian gauge