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

Abstract

The ghost condensate <epsilon^{abc} cbar^b c^c> is considered together with the gluon condensate <A^2> in SU(2) Euclidean Yang-Mills theories quantized in the Landau gauge. The vacuum polarization ceases to be transverse due to the nonvanishing condensate <epsilon^{abc} cbar^b c^c>. The gluon propagator itself remains transverse. By polarization effects, this ghost condensate induces then a splitting in the gluon mass parameter, which is dynamically generated through <A^2>. The obtained effective masses are real when <A^2> is included in the analysis. In the absence of <A^2>, the already known result that the ghost condensate induces effective tachyonic masses is recovered. At the one-loop level, we find that the effective diagonal mass becomes smaller than the off-diagonal one. This might serve as an indication for some kind of Abelian dominance in the Landau gauge, similar to what happens in the maximal Abelian gauge.

30 pages. 1 .eps figure

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Cited by in corpus (10)

• Spontaneous Breaking of Lorentz Symmetry by Ghost Condensation in Perturbative Quantum Gravity
• A study of the maximal Abelian gauge in SU(2) Euclidean Yang-Mills theory in the presence of the Gribov horizon
• Effects of the quark field on the ghost propagator of Lattice Landau Gauge QCD
• Infra-red Abelian dominance without Abelian-projection
• Renormalization group aspects of the local composite operator method
• Nonperturbative ghost dynamics in the maximal Abelian gauge
• 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
• Condensate $⟨A_{\mu }^{+}{A}_{\mu }^{-}⟩$ and massive magnetic potential in Euclidean gauge theories
• Landau confining replica model from an explicitly breaking of a SU(3) group without auxiliary fields
• Non-perturbative aspects of Yang-Mills theories