A determination of <A^2> and the non-perturbative vacuum energy of Yang-Mills theory in the Landau gauge

Abstract

We discuss the 2-point-particle-irreducible (2PPI) expansion, which sums bubble graphs to all orders, in the context of SU(N) Yang-Mills theory in the Landau gauge. Using the method we investigate the possible existence of a gluon condensate of mass dimension two, <A^2>, and the corresponding non-zero vacuum energy. This condensate gives rise to a dynamically generated mass for the gluon.

arXiv comment12 pages, 3 eps figures; v2 : wrong use of "enhancement" instead of "suppression" corrected; v3: version accepted for publication in Phys.Lett.B

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• Landau-gauge condensates from the quark propagator on the lattice
• A study of the Gribov copies in linear covariant gauges in Euclidean Yang-Mills theories
• Dynamical gluon mass generation from <A^2> in linear covariant gauges
• Lattice QCD determination of neutron-antineutron matrix elements with physical quark masses
• 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 physical meaning of mixed gluon--ghost condensate of mass dimension two
• Description of Gluon Propagation in the Presence of an A^2 Condensate
• A local and renormalizable framework for the gauge-invariant operator $A_{\min }^2$ in Euclidean Yang-Mills theories in linear covariant gauges
• 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
• More on ghost condensation in Yang-Mills theory: BCS versus Overhauser effect and the breakdown of the Nakanishi-Ojima annex SL(2,R) symmetry
• Quantum properties of a non-Abelian gauge invariant action with a mass parameter
• Gribov ambiguities at the Landau -- maximal Abelian interpolating gauge
• Vacuum polarization corrections to low energy quark effective couplings
• Infrared massive gluon propagator from a BRST-invariant Gribov horizon in a family of covariant gauges
• 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
• The asymmetry of the dimension 2 gluon condensate: the zero temperature case
• A two-component picture of the <A^2> condensate with instantons
• Interpolating among the Landau, Coulomb and maximal Abelian gauges
• Unitarity analysis of a non-Abelian gauge invariant action with a mass
• The asymmetry of the dimension 2 gluon condensate: the finite temperature case
• Phantom energy from graded algebras
• 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 $\bar{\lambda }\lambda$
• Non-perturbative propagators and dimension 2 condensate in Yang-Mills theory
• Color-octet nonrelativistic QCD matrix elements for heavy quarkonium decays in the refined Gribov-Zwanziger theory
• Landau confining replica model from an explicitly breaking of a SU(3) group without auxiliary fields
• Local renormalizable gauge theories from nonlocal operators
• 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
• Covariant Mass and Geometrical setup in Euclidean gauge theories