Dynamical gluon mass generation from <A^2> in linear covariant gauges

Abstract

We construct the multiplicatively renormalizable effective potential for the mass dimension two local composite operator A^2 in linear covariant gauges. We show that the formation of <A^2> is energetically favoured and that the gluons acquire a dynamical mass due to this gluon condensate. We also discuss the gauge parameter independence of the resultant vacuum energy.

21 pages. 14 .eps figures. v2: minor modifications. v3: version accepted for publication in JHEP

References in corpus (35)

• The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
• New features of FORM
• The three-loop QCD $\beta$-function and anomalous dimensions
• Local BRST cohomology in gauge theories
• On the Significance of the Quantity "A Squared"
• 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
• The non-perturbative groundstate of Q.C.D and the local composite operator A_mu^2
• Gluon propagators and quark confinement
• Off-diagonal Gluon Mass Generation and Infrared Abelian Dominance in the Maximally Abelian Gauge in Lattice QCD
• The anomalous dimension of the composite operator A^2 in the Landau gauge
• Consistent OPE Description of Gluon Two- and Three-point Green Function?
• Three loop MSbar renormalization of the Curci-Ferrari model and the dimension two BRST invariant composite operator in QCD
• Abelian dominance and gluon propagators in the Maximally Abelian gauge of SU(2) lattice gauge theory
• Renormalizing a BRST-invariant composite operator of mass dimension 2 in Yang-Mills theory
• Instantons and $<A^2>$ Condensate
• Two loop effective potential for < A^2_μ> in the Landau gauge in quantum chromodynamics
• The Gluon Propagator without lattice Gribov copies on a finer lattice
• The Diagonal Ghost Equation Ward Identity for Yang-Mills Theories in the Maximal Abelian Gauge
• Renormalizability of the local composite operator A^2 in linear covariant gauges
• A physical meaning of mixed gluon--ghost condensate of mass dimension two
• A determination of <A^2> and the non-perturbative vacuum energy of Yang-Mills theory in the Landau gauge
• The anomalous dimension of the gluon-ghost mass operator in Yang-Mills theory
• A new start for local composite operators
• Defining < A^2 > in the finite volume hamiltonian formalism
• Lattice gauge-fixing for generic covariant gauges
• Gluon-ghost condensate of mass dimension 2 in the Curci-Ferrari gauge
• Massive Yang-Mills Theory in Abelian Gauges
• More on ghost condensation in Yang-Mills theory: BCS versus Overhauser effect and the breakdown of the Nakanishi-Ojima annex SL(2,R) symmetry
• The Laplacian Gauge Gluon Propagator in SU(N_c)
• Lattice Gauge Fixing for Parameter Dependent Covariant Gauges
• Ghost condensates in Yang-Mills theories in the Landau gauge
• Quark and Gluon Propagators in Covariant Gauges
• Results on the Gluon Propagator in Lattice Covariant Gauges

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