The Feynman-Schwinger (world-line) representation in perturbative QCD

Abstract

The proper time path integral representation is derived explicitly for an arbitrary $n$-point amplitude in QCD. In the standard perturbation theory the formalism allows to sum up the leading subseries, e.g. yielding double-logarithm Sudakov asymptotics for form factors. Correspondence with the standard perturbation theory is established and connection to the Bern-Kosower-Strassler method is illustrated.

20 pages Latex; to appear in the Michael Marinov Memorial Volume, "Multiple facets of quantization and supersymmetry", Eds. M. Olshanetsky and A. Vainshtein (World Scientific)

Cited by in corpus (2)

• Nonperturbative corrections to the quark self-energy
• Nonperturbative dynamics of scalar field theories through the Feynman-Schwinger representation