Quantum properties of a non-Abelian gauge invariant action with a mass parameter

Abstract

We continue the study of a local, gauge invariant Yang-Mills action containing a mass parameter, which we constructed in a previous paper starting from the nonlocal gauge invariant mass dimension two operator F_{μν} (D^2)^{-1} F_{μν}. We return briefly to the renormalizability of the model, which can be proven to all orders of perturbation theory by embedding it in a more general model with a larger symmetry content. We point out the existence of a nilpotent BRST symmetry. Although our action contains extra (anti)commuting tensor fields and coupling constants, we prove that our model in the limit of vanishing mass is equivalent with ordinary massless Yang-Mills theories. The full theory is renormalized explicitly at two loops in the MSbar scheme and all the renormalization group functions are presented. We end with some comments on the potential relevance of this gauge model for the issue of a dynamical gluon mass generation.

arXiv comment17 pages. v2: version accepted for publication in Phys.Rev.D

References in corpus (49)

• Instantons in QCD
• The Stueckelberg Field
• Group theory factors for Feynman diagrams
• Analytic properties of the Landau gauge gluon and quark propagators
• On the Significance of the Quantity "A Squared"
• Constituent Quarks from QCD
• Vacuum condensate of mass dimension 2 as the origin of mass gap and quark confinement
• On the Emerging Phenomenology of <(A_μ)^2>
• Testing Landau gauge OPE on the Lattice with a $<A^2>$ Condensate
• Asymptotic Scaling and Infrared Behavior of the Gluon Propagator
• The non-perturbative groundstate of Q.C.D and the local composite operator A_mu^2
• 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
• Three loop MSbar renormalization of the Curci-Ferrari model and the dimension two BRST invariant composite operator in QCD
• Dimension two condensates and the Polyakov loop above the deconfinement phase transition
• 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
• Landau-gauge condensates from the quark propagator on the lattice
• Instantons and $<A^2>$ Condensate
• Seeking an Even-Parity Mass Term for 3-D Gauge Theory
• Dynamical gluon mass generation from <A^2> in linear covariant gauges
• A study of the Gribov copies in linear covariant gauges in Euclidean Yang-Mills 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
• On the renormalizability and unitarity of the Curci-Ferrari model for massive vector bosons
• Unqueched Kogut-Susskind quark propagator in Lattice Landau Gauge QCD
• Vacuum type of SU(2) gluodynamics in maximally Abelian and Landau gauges
• Two loop effective potential for < A^2_μ> in the Landau gauge in quantum chromodynamics
• Two loop correction to the Gribov mass gap equation in Landau gauge QCD
• Renormalizability of the local composite operator A^2 in linear covariant gauges
• 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
• A determination of <A^2> and the non-perturbative vacuum energy of Yang-Mills theory in the Landau gauge
• Dimension-two gluon condensate from large-Nc Regge models
• The anomalous dimension of the gluon-ghost mass operator in Yang-Mills theory
• The influence of the Gribov copies on the gluon and ghost propagators in Euclidean Yang-Mills theory in the maximal Abelian gauge
• Description of Gluon Propagation in the Presence of an A^2 Condensate
• The Dual Meissner Effect and Magnetic Displacement Currents
• Non-perturbative Power Corrections to Ghost and Gluon Propagators
• A new start for local composite operators
• Gluon-ghost condensate of mass dimension 2 in the Curci-Ferrari gauge
• Gribov horizon in the presence of dynamical mass generation in Euclidean Yang-Mills theories in the Landau gauge
• eta and eta' mesons and dimension 2 gluon condensate <A^2>
• Two loop MSbar gluon pole mass from the LCO formalism
• <A^2> Condensate, Bianchi Identities and Chromomagnetic Fields Degeneracy in SU(2) YM Theory
• One loop MSbar gluon pole mass from the LCO formalism
• Pseudoscalar qqbar mesons and effective QCD coupling enhanced by <A^2> condensate

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• 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
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• One loop renormalization of the non-local gauge invariant operator min_U (A^U_mu)^2 in QCD
• Nonperturbative ghost dynamics in the maximal Abelian gauge
• Unitarity analysis of a non-Abelian gauge invariant action with a mass
• The factorisation of glue and mass terms in SU(N) gauge theories
• A potential setup for perturbative confinement
• Three loop MSbar anomalous dimension for renormalizable gauge invariant non-local gluon mass operator in QCD
• Dimension two gluon condensates in a variety of gauges and a gauge invariant Yang-Mills action with a mass
• Non-perturbative aspects of Yang-Mills theories
• Local renormalizable gauge theories from nonlocal operators
• A gauge invariant infrared stabilization of 3D Yang-Mills gauge theories
• 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
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• Infrared behavior of the gluon and ghost propagators in Yang-Mills theories