The Feynman-Schwinger representation in QCD

Details The Feynman-Schwinger representation in QCD The Feynman-Schwinger representation in QCD

2002-05-15

arxiv.org/abs/hep-ph/0205165v1

AnnalsPhys.300:54-87,2002

Physics

High Energy Physics

High Energy Physics - Phenomenology

Latex, 61 pages and 7 figures

Scientific paper

10.1006/aphy.2002.6282

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.

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