Description of Gluon Propagation in the Presence of an A^2 Condensate

Abstract

There is a good deal of current interest in the condensate A^2 which has been seen to play an important role in calculations which make use of the operator product expansion. That development has led to the publication of a large number of papers which discuss how that condensate could play a role in a gauge-invariant formulation. In the present work we consider gluon propagation in the presence of such a condensate which we assume to be present in the vacuum. We show that the gluon propagator has no on-mass-shell pole and, therefore, a gluon cannot propagate over extended distances. That is, the gluon is a nonpropagating mode in the gluon condensate. In the present work we discuss the properties of both the Euclidean-space and Minkowski-space gluon propagator. In the case of the Euclidean-space propagator we can make contact with the results of QCD lattice calculations of the propagator in the Landau gauge. With an appropriate choice of normalization constants, we present a unified representation of the gluon propagator that describes both the Minkowski-space and Euclidean-space dynamics in which the A^2 condensate plays an important role.

28 pages, 11 figures

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• The Gribov parameter and the dimension two gluon condensate in Euclidean Yang-Mills theories in the Landau gauge
• Analytic structure of QCD propagators in Minkowski space
• Schwinger mechanism 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
• Unified description of seagull cancellations and infrared finiteness of gluon propagators
• A local and renormalizable framework for the gauge-invariant operator $A_{\min }^2$ in Euclidean Yang-Mills theories in linear covariant gauges
• Gluon condensates in a cold quark gluon plasma
• Conditions on the violation of the cluster decomposition property in QCD
• KdV solitons in a cold quark gluon plasma
• Quantum properties of a non-Abelian gauge invariant action with a mass parameter
• A Unified Model of Phantom Energy and Dark Matter
• Vacuum polarization corrections to low energy quark effective couplings
• SU(2) Gluodynamics and HP1 sigma-model embedding: Scaling, Topology and Confinement
• Phantom energy from graded algebras
• Compact stars with strongly coupled quark matter in a strong magnetic field
• Lorentz invariant ensembles of vector backgrounds
• Non-abelian vector backgrounds with restored Lorentz invariance
• Renormalizability of the dimension two gluon operator $A^2$ in a class of nonlinear covariant gauges
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• Covariant Mass and Geometrical setup in Euclidean gauge theories
• Screened massive expansion of the quark propagator in the Landau gauge