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The Feynman–Schwinger Representation in QCD

✍ Scribed by Yu.A. Simonov; J.A. Tjon

Book ID
102562011
Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
266 KB
Volume
300
Category
Article
ISSN
0003-4916

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✦ Synopsis

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.

📜 SIMILAR VOLUMES

The Feynman-Schwinger Representation for
The Feynman-Schwinger Representation for the Relativistic Two-Particle Amplitude in Field Theory
✍ Y.A. Simonov; J.A. Tjon 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 600 KB

The proper time path-integral representation for the two-body Green's function is derived for several examples of field theory, e.g., the \(\varphi^{3}\) theory in \(4 d\), scalar and spinor QED, and its properties are studied in the quenched approximation. The perturbative expansion is shown to coi