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QCD Green functions in a gluon field

2004/10/31 by Paul Hoyer, Stéphane Peigné, Stephane Peigne · 7 citations
Mathematics · Physics and Astronomy · #Gauge boson #Gauge fixing #Gauge theory #Gluon #Gluon field #High-Energy Particle Collisions Research #Massless particle #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Perturbative QCD #Physics #Propagator #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quark #Quark–gluon plasma #Singularity #hep-ph

paper · pdf · doi:10.1088/1126-6708/2004/12/051

published in Journal of High Energy Physics 2004(12), 051 (Springer Nature) · 21 pages, 7 figures. Minor modifications in text. Version to be published in JHEP

openalex publication_date 2004/12/21 · arxiv created 2004/12/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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 Poincaré 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 p2=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.

Citations