QCD Green functions in a gluon field

Abstract

We formulate a dressed perturbative expansion of QCD, where the standard diagrams are evaluated in the presence of a constant external gluon field whose magnitude is gaussian distributed. The approach is Poincar{é} and gauge invariant, and modifies the usual results for hard processes only by power suppressed contributions. Long distance propagation of quarks and gluons turns out to be inhibited due to a branch point singularity instead of a pole at $p^2=0$ in the quark and gluon propagators. The dressing keeps the (massless) quarks in q qbar fluctuations of the photon at a finite distance from each other.

21 pages, 7 figures. Minor modifications in text. Version to be published in JHEP

References in corpus (6)

• The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
• Dyson-Schwinger equations: a tool for hadron physics
• Infinite Volume and Continuum Limits of the Landau-Gauge Gluon Propagator
• Overlap Quark Propagator in Landau Gauge
• Quark Propagation in the Presence of a A_μ^aA_a^μ> Condensate
• Dressing the Quark with QCD Condensates

Cited by in corpus (6)

• Perturbative gauge theory in a background
• Non-abelian vector backgrounds with restored Lorentz invariance
• Lorentz invariant ensembles of vector backgrounds
• Concerning gauge field fluctuations around classical configurations
• On invariants for particle propagation in non-Abelian fields
• Parton Propagation in a Gluon Field