Two loop effective potential for < A^2_μ> in the Landau gauge in quantum chromodynamics

Abstract

We construct the effective potential for the dimension two composite operator 1/2 A^{a 2}_μin QCD with massless quarks in the Landau gauge for an arbitrary colour group at two loops. For SU(3) we show that an estimate for the effective gluon mass decreases as N_f increases.

17 latex pages

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Cited by in corpus (45)

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• A study of the Gribov copies in linear covariant gauges in Euclidean Yang-Mills theories
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• Two loop calculation of Yang-Mills propagators in the Curci-Ferrari model
• Alternative refined Gribov-Zwanziger Lagrangian
• 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
• Description of Gluon Propagation in the Presence of an A^2 Condensate
• Large $N_f$ quantum field theory
• A local and renormalizable framework for the gauge-invariant operator $A_{\min }^2$ in Euclidean Yang-Mills theories in linear covariant gauges
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• Quantum properties of a non-Abelian gauge invariant action with a mass parameter
• Three loop MSbar renormalization of QCD in the maximal abelian gauge
• Two-loop three-gluon vertex from the Curci-Ferrari model and its leading infrared behavior to all loop orders
• Two loop MSbar gluon pole mass from the LCO formalism
• Infrared massive gluon propagator from a BRST-invariant Gribov horizon in a family of covariant gauges
• One loop MSbar gluon pole mass from the LCO formalism
• 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
• Renormalization properties of the mass operator A^2 in three dimensional Yang-Mills theories in the Landau gauge
• On the dynamical mass generation in confining Yang-Mills theories
• The asymmetry of the dimension 2 gluon condensate: the zero temperature case
• One loop renormalization of the non-local gauge invariant operator min_U (A^U_mu)^2 in QCD
• A two-component picture of the <A^2> condensate with instantons
• Interpolating among the Landau, Coulomb and maximal Abelian gauges
• Renormalization group aspects of the local composite operator method
• Unitarity analysis of a non-Abelian gauge invariant action with a mass
• The asymmetry of the dimension 2 gluon condensate: the finite temperature case
• Nonperturbative ghost dynamics in the maximal Abelian gauge
• Natural solution in the refined Gribov-Zwanziger theory
• Effects of a quark chemical potential on the analytic structure of the gluon propagator
• The $A^2$ asymmetry and propagators in lattice $SU(2)$ gluodynamics at $T>T_c$
• Composite operator and condensate in the $SU(N)$ Yang-Mills theory with $U(N-1)$ stability group
• Renormalizability of the dimension two gluon operator $A^2$ in a class of nonlinear covariant gauges
• Renormalizability of pure $\mathcal{N}=1$ Super Yang-Mills in the Wess-Zumino gauge in the presence of the local composite operators $A^2$ and $\bar{\lambda }\lambda$
• Three loop MSbar anomalous dimension for renormalizable gauge invariant non-local gluon mass operator in QCD
• Three loop effective potential for $⟨\frac{1}{2}{A_{\mu }^a}^2⟩$ in the Landau gauge in QCD
• Non-perturbative aspects of Yang-Mills theories
• Dimension two gluon condensates in a variety of gauges and a gauge invariant Yang-Mills action with a mass
• 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
• Infrared behavior of the gluon and ghost propagators in Yang-Mills theories
• Covariant Mass and Geometrical setup in Euclidean gauge theories