Quark Propagation in the Presence of a A_μ^aA_a^μ> Condensate

Abstract

There is a good deal of current interest in the condensate g^2A_μ^aA_a^μ> which has recently be shown to be the Landau gauge version of a more general gauge-invariant expression. In the present work we consider quark propagation in the presence of such a condensate which we assume to be present in the vacuum. We describe the vacuum as a random medium of gluon fields. We discuss quark propagation in that medium and show that the quark propagator has no on-mass-shell pole indicating that a quark cannot propagate over extended distances. That is, the quark is a nonpropagating mode in the gluon condensate.

18 Pages and 14 Figures

References in corpus (6)

• Multiple scattering of classical waves: from microscopy to mesoscopy and diffusion
• 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>
• Consistent OPE Description of Gluon Two- and Three-point Green Function?
• The `BRST-invariant' Condensate of Dimension Two in QCD

Cited by in corpus (6)

• The Gribov parameter and the dimension two gluon condensate in Euclidean Yang-Mills theories in the Landau gauge
• Description of Gluon Propagation in the Presence of an A^2 Condensate
• eta and eta' mesons and dimension 2 gluon condensate <A^2>
• QCD Green functions in a gluon field
• Non-abelian vector backgrounds with restored Lorentz invariance
• Lorentz invariant ensembles of vector backgrounds