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

Abstract

The nonlocal gauge invariant mass operator $\mathrm{Tr}\int d^{4}x{F}_{\mu \nu }(D^2{)}^{-1}{F}_{\mu \nu }$ is investigated in Yang-Mills theories in the maximal Abelian gauge. By means of the introduction of auxiliary fields a local action is achieved, enabling us to use the algebraic renormalization in order to prove the renormalizability of the resulting local model to all orders of perturbation theory.

References in corpus (38)

• 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
• A Solution to Coupled Dyson-Schwinger Equations for Gluons and Ghosts in Landau Gauge
• Infrared behaviour and fixed points in Landau gauge QCD
• On the Significance of the Quantity "A Squared"
• Vertex functions and infrared fixed point in Landau gauge SU(N) Yang-Mills theory
• On the Emerging Phenomenology of <(A_μ)^2>
• The non-perturbative groundstate of Q.C.D and the local composite operator A_mu^2
• Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory
• 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
• Propagators and running coupling from SU(2) lattice gauge theory
• The anomalous dimension of the composite operator A^2 in the Landau gauge
• Gribov Copies in the Minimal Landau Gauge: the Influence on Gluon and Ghost Propagators
• 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
• A covariant constituent quark/gluon model for the glueball-quarkonia content of scalar-isoscalar mesons
• Seeking an Even-Parity Mass Term for 3-D Gauge Theory
• Dynamical gluon mass generation from <A^2> in linear covariant gauges
• A Phenomenological Analysis of Gluon Mass Effects in Inclusive Radiative Decays of the $J/\psi$ and $Υ
• Two loop effective potential for < A^2_μ> in the Landau gauge in quantum chromodynamics
• The Diagonal Ghost Equation Ward Identity for Yang-Mills Theories in the Maximal Abelian Gauge
• 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
• Renormalizability of the local composite operator A^2 in linear covariant gauges
• A determination of <A^2> and the non-perturbative vacuum energy of Yang-Mills theory in the Landau gauge
• The influence of the Gribov copies on the gluon and ghost propagators in Euclidean Yang-Mills theory in the maximal Abelian gauge
• A study of the maximal Abelian gauge in SU(2) Euclidean Yang-Mills theory in the presence of the Gribov horizon
• Gluon-ghost condensate of mass dimension 2 in the Curci-Ferrari gauge
• Instantons and Gribov Copies in the Maximally Abelian Gauge
• Effects of the quark field on the ghost propagator of Lattice Landau Gauge QCD
• Quantum properties of a non-Abelian gauge invariant action with a mass parameter
• Infrared Maximally Abelian Gauge
• Three loop MSbar renormalization of QCD in the maximal abelian gauge
• 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
• A combined study of the gluon and ghost condensates <A^2> and <epsilon^{abc} cbar^b c^c> in Euclidean SU(2) Yang-Mills theory in the Landau gauge
• On the dynamical mass generation in confining Yang-Mills theories
• One loop renormalization of the non-local gauge invariant operator min_U (A^U_mu)^2 in QCD
• Off-diagonal mass generation for Yang-Mills theories in the maximal Abelian gauge

Cited by in corpus (1)

• A potential setup for perturbative confinement