2002/05/15 by Yu. A. Simonov, J. A. Tjon · 59 citations
Physics and Astronomy · #Feynman diagram #Feynman graph #Formalism (music) #Gluon #Gravitational singularity #High-Energy Particle Collisions Research #Mathematical physics #Particle physics #Particle physics theoretical and experimental studies #Path integral formulation #Perturbation theory (quantum mechanics) #Perturbative QCD #Physics #Propagator #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Theoretical physics #hep-ph
paper · pdf · doi:10.1006/aphy.2002.6282
published in Annals of Physics 300(1), 54-87 (Elsevier BV) · Latex, 61 pages and 7 figures
arxiv created 2002/05/15 · openalex publication_date 2002/08/01 · arxiv updated 2014/11/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/08
The proper time path integral representation is derived explicitly for Green's functions in QCD. After an introductory analysis of perturbative properties, the total gluonic field is separated in a rigorous way into a nonperturbative background and valence gluon part. For nonperturbative contributions the background perturbation theory is used systematically, yielding two types of expansions,illustrated by direct physical applications. As an application, we discuss the collinear singularities in the Feynman-Schwinger representation formalism. Moreover, the generalization to nonzero temperature is made and expressions for partition functions in perturbation theory and nonperturbative background are explicitly written down.