arXiv:hep-ph/0201005·v1·High Energy Physics — Phenomenology
The Feynman-Schwinger (world-line) representation in perturbative QCD
Yu.A.Simonov (Jefferson Lab, Newport News, USA and ITEP, Moscow, Russia)🇺🇸 · J.A.Tjon (U. Utrecht and Groningen, The Netherlands)🇳🇱
Abstract
The proper time path integral representation is derived explicitly for an arbitrary -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.
Comments: 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)